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QUESTION:
Tie an object such as a pencil eraser to a string. Use the string to swing the object around your head at a constant speed. Can the object be swung so that the string is parallel to the horizontal, flat, and even floor on which you stand?
ANSWER:
No. The reason is that the object must in equilibrium in the vertical
direction since it has no vertical component of its velocity (or
acceleration), so the forces in the vertical direction must add to zero.
One force in the vertical direction is the weight, straight down. There
must be another force which points up and is equal in magnitude to the
weight; this can only be the vertical component of the tension in the
string and a horizontal string has no vertical component of its tension.
QUESTION:
the time it takes for one heavenly body to make one complete revolution around another heavenly body is called what?
ANSWER:
The period.
QUESTION:
why do physicists relate the four dimension to time more then just another physical dimention , much like the third dimension to flat-landers?
ANSWER:
Suppose that you have a two-dimensional coordinate system and the
coordinates of some point are (x,y); now, if you rotate this
coordinate system the new coordinates of the same point are (x',y')
where x' depends on both x and y, and y'
depends on both x and y. That is, the coordinates become
mixed up with each other. Now suppose that one observer moves in the
x direction of some coordinate system; this observer carries a clock
which measures a time t' and measuring sticks which measure a
distance x'. If (x',t') are compared with (x,t),
analogous quantities measured by a second observer not moving in the
coordinate system, it turns out that x' depends on both x
and t, and t' depends on both x and
t. This
analogy tells you that it is fruitful to treat, mathematically at least,
time on an equal footing with space, that is, special relativity can be
developed using four-dimensional vectors. It is, however, a mistake to
think of time as a fourth space dimension like a flatlander would think
of the third dimension. Indeed, you should think of there being
something which encompasses both space and time which we call
space-time, not that space is now four dimensional.
QUESTION:
Suppose that the mass holders in an experiment all have the same mass.May their masses be neglected in calculation of the acting force?
ANSWER:
Maybe for some particular experiment, but certainly not in general.
QUESTION:
In my high school physics class, we have just finnished the section on electricity. The two equations my question relates to are:
the relation between capacitance, voltage, and charge C=Q/V
the force between two point charges (Q and q) as a function of distance
F=(kQq)/d^2
My question, which none of my teachers can answer, is: Why don't these two eqations work when used together? I'm assuming they dont work because a capacitor of 100uF at 10v holds 1000uC and two charges of 500uC separated by 10cm should, according to those equations above, exert a force of roughly 225,000N. I've done the math many times and can't find any issues. Is it a calculation error or improper use of the equations?
ANSWER:
The reason is that the two equations are essentially unrelated. The force
equation applies to two point charges separated by a distance d.
The plates of a capacitor are not point charges. You also have some
misceptions about capacitors. The capacitor carries a charge Q.
This means that one plate of the capacitor carries a charge Q and
the other a charge -Q such that the total charge is zero. The
plates of a capacitor therefore exert an attractive force on each other.
It is pretty easy to compute the force one of the plates of a
parallel plate capacitor feels because the electric field between
the plates is nearly uniform. The field is given E=4πkQ/A
where A is the area of the plates, and the capacitance is
C=A/(4πkd).
The force felt by each plate is F=EQ/2. If I put in your numbers
for Q=10-3 C, V=10 V, and d=0.1 m I find that F=0.5
N, a far more reasonable number!
QUESTION:
Is a nuclear submarine called nuclear because it has nuclear weapons or because it is run with nuclear power?
ANSWER:
Because it is nuclear-powered.
QUESTION:
I got in an argument with my friend about the weightless feeling in space. I say that if you're in a spaceship orbiting the earth, you'll feel weightless because you are technically in constant freefall. He says you'll feel weightless because theres no gravity. Who's correct?
ANSWER:
You are correct. If there were no gravity, what force would hold your
spaceship in orbit? It is also insightful on your part to recognize
that, when in orbit, you are actually in freefall.
QUESTION:
Will a rock cool faster in deep space in sitting on a dinner plate at stp? (room temperature at my house)
lets say it starts with a 300 degree F temp and cooling to 100 F
ANSWER:
I do not think you can say for sure. It would depend on the shape of the
rock, the composition of the rock (in particular, how good a radiator
the material is), the amount of contact of the rock with the plate,
etc. The rock in deep space can cool only by radiation and would
continue cooling below 1000F. The rock in your house would
also cool by radiation but it would also absorb radiation being
constantly emitted by the environment; if radiation were the only
consideration, the rock in space would clearly win the race. But the
rock in your house can also cool by conduction (via contact with the
dinner plate) and convection (air moving over it carrying away heat).
But the the rock in you house is tending toward room temperature, maybe
700F, so I would think that it would approach 1000F
much more slowly than the space rock. So, my best guess is that the
space rock will win the race, but careful tailoring of the conditions
might reverse the situation.
QUESTION:
I would like to ask a quick question regarding laser and color. I tried googling it but found no result.
I'm trying to find some ways to detect the color of a material for a small project. I thought of two ways so far
1. through an optical lens that will capture the color and get it analyzed.
2. shoot a beam of laser at the material and analyze the wavelength that gets bounced back.
Obviously, the first example does not concern physics too much, but I was wondering if the second example is feasible in a relatively cheap manner.
ANSWER:
The laser will not work because laser light is of one color and that is
the only color you could see reflected back. I do not see what you mean
that "the first example does not concern physics". Optics
is physics. But to "capture the color" is not the essence of what you
want to do, it is determining the color that is the real task. For this
you need a means of measuring the wavelength(s) of the light, e.g.
using a prism or a grating as a
spectrometer.
QUESTION:
what makes people think that fundamental physical constants can be anything other than what they are?
Is this a mistake akin to imagining a temperature of, say, −274.15°C (where −273.15°C is the number we use to say that atomic movement -- i.e. heat -- ceases). Just because we can change the numbers in our minds does that give us a basis for imagining what our universe would be like if the cosmological constant was anything other than it is?
A recent article I read in SciAm seemed to treat it as a given that these constants are arbitrary and proceeded to hypothesise about multiple universes. Am I missing something, or is this baseless physics?
ANSWER:
For starters, absolute zero is not a fundamental constant. No matter what
fundamental constants are, how units are operationally defined, absolute
zero will always be that (unattainable) state of matter with zero
kinetic energy. Examples of fundamental constants are the universal
constant of gravitation, G, which quantifies the strength of
gravity, and the permittivity of free space,
ε0, which quantifies the
strength of electrostatic interactions. And, you do not look at the
numbers since those depend on the system of units; rather you look at
the implications of the relative values for physics. The values of G
and ε0 tell you that gravity is incredibly weak
compared to electromagnetic forces. And we have no idea why they
have the values they do. Amazingly, just relatively minor changes in the
fundamental constants would make our universe as we know it
impossible—stars would not form, atoms would not form, nuclei would not
form, life could not exist, etc. One of the ideas advanced is that what the
constants turn out to be is random but that there are many universes
with many values of constants and few are anything like ours; whether
this is "baseless" physics is open to debate, but there is certainly no
physical evidence that it might be true.
QUESTION:
if a water-filled container's weight with an object in it is equal to the container plus the buoyant force on the object if it has not sunk, Why then does the buoyant force point opposite to the direction of the weight of the container? Would you then not subtract the buoyant force from the weight of the container to get the total weight?
ANSWER:
Aha, you make the classic mistake made by thousands of physics students
going before you—you are not
focusing on one body at a time. Let me run through the various possible
scenarios here and see if you understand.
- Look at the object. What are the
forces on it? Its weight w down and a force b which
the water exerts on it, up. (We call b the buoyant force.)
Newton's first law (N1) requires b-w=0, so b=w.
- Look at the container and water.
What are the forces on them? Their weight W down, a force
N from the scale they are sitting on, up, and a force f
which the object exerts on the water. Newton's third law tells us
that f=b and points down. N1 now tells us N-W-f=0=N-W-w,
and so N=W+w. There is the answer to your question—the scale
reads the total weight. But let's look at another possibility.
- Look at the container and water
and object all together. The forces are the weight, W+w down,
and the force of the scale N up. The buoyant force does not
come into it at all because the forces the water and object exert on
each other are internal forces and cancel out (or, b-f=0). So
N1 tells you that N=W+w. Again, there is your answer—the
scale reads the total weight.
QUESTION:
In case one I accelerate an apple to one mph. It requires x amount of work to accelerate the apple by one mph.
Next I accelerate the same apple by another one mph. This requires the same amount of energy as in the first example, ie the energy necessary to accelerate one kg by one mph.
Thus I have expended twice as much energy to accelerate from one mph to two mph. But the apple now has 4 times as much energy.
I would so much appreciate an explanation in laymen's terms. I must be really stupid. I just cannot see the logic.
ANSWER:
No, you're not stupid; it is a little subtle. Energy is not what we call
an invariant quantity, that is the kinetic energy something has depends
on the frame from which you observe it. What your thought experiment
does is shift frames for the second acceleration; you have put yourself
in a frame where the object starts at rest. When you do this, you move
into a frame where the apple is at rest, that is has zero energy.
Therefore, your second experiment is nothing more than a repeat of your
first experiment. If you calculate the work you have to do in the
original rest frame to accelerate the object from speed v to
speed 2v you will find W=½m(3v2)
which then leads to the correct total energy and work of ½m(4v2). FOLLOWUP QUESTION:
This is what I have trouble understanding. Assuming no friction or wind force, etc. it requires x amount of fuel to accelerate a car by 1 mph, and x amount of fuel for each additional 1 mph. Thus change in velocity is directly proportional to energy input. But change in kinetic energy is proportional to the square of change in velocity. Energy input should equal the change in kinetic energy of the car, but apparently does not. I know there is a basic flaw in that reasoning, but where is it?
ANSWER:
It does not take the same amount of fuel to accelerate the second 1 mph.
It is a little tricky to talk about a car where it is actually the force
of friction of the tires which push the car forward to accelerate it.
That is were the work is done on the car, a forward force F which
is constant if you are accelerating at a constant rate. Now, if the car
starts at rest and increases its speed at a constant rate to speed v,
how far, d, has it gone? Well, simple kinematics tell us that
d=½(F/m)t2
and v=(F/m)t, so d=½(F/m)[mv/F]2=[½mv2]/F.
Therefore, the work F does to bring it to v is W=Fd=½mv2.
Now, let's calculate the work F must do to increase the speed
from v
to 2v. The new distance traveled, d', is
d'=vt+½(F/m)t2
with 2v=v+(F/m)t => v=(F/m)t;
note that the time the force acts is the same but the distance over
which it pushes is larger, so more work is being done. If you do the
algebra here (put t=mv/F into the d' equation), you will
find d'=3d. It takes three times the energy to increase
the speed by another 1 mph in your example. I suspect you are still
bothered! And I think I can say why. If you burn fuel at a constant rate
you will not accelerate at a constant rate; to accelerate at a constant
rate you have to increase the rate at which you burn fuel as you go
along. If you burn fuel at a constant rate, the time for the second 1
mph gain will be longer than for the first 1 mph; and guess how
much—exactly 3 times longer! (I always go that extra mile for folks nice
enough to make a donation!)
QUESTION:
Gas particles travel at speeds really big like 400 or 500 meters per second. Why does it take so long for gas molecules to travel the length of a room? This came up in class and i couldn't figure it out.
ANSWER:
Because they collide with other molecules in the air and therefore have a
zig-zag path. The mean free path, sort of an average distance between
collisions, is around 10-7 m in air at STP.
QUESTION:
I need to prove innocence in a car accident and need to find out the minimum speed a car would be travelling to push a stopped car forward about 2 metres.
Scenario. 3 car crash where 2 front cars pulled up hard but were still a sufficient distance from each other eg 1.5-2.5 metres when the 3rd car rammed hard enough into the middle car to push it forward and bump the front car. Sealed road, dry conditons.
the middle car weighs 1322KG and the 3rd car weighs 1703KG
ANSWER:
First of all, you are not going to "prove" anything. There are too many
variables. The coefficient of sliding friction for rubber on dry asphalt
is in the range 0.5-0.8. I will use 0.7. I will assume that the brakes
of the middle car are engaged so so the tires slide, do not roll. It is
crucial what car #3 does after the collision. One simple collision is
called perfectly inelastic; in this case the two cars move
together after the collision, essentially as one. At the other extreme,
the collision can be perfectly elastic; in this case no energy is
lost in the collision, sort of like two billiard balls colliding (almost
elastic). I am not going to include all the details, just the results.
First, I calculate the speed the middle car needs to have to slide 2 m
and stop: 5.24 m/s=12 mph. If the collision is perfectly inelastic, the
speed of car #3 at the instant of impact is about 9.31 m/s=21 mi/hr. If
the collision is perfectly elastic, the speed of car #3 at the instant
of impact is about 4.65 m/s=10 mph. I would guess that the collision
would be more like the inelastic collision, that is, the speed would be
closer to 20 mph. Of course, the speed of the middle car could have been
greater than my minimum of 12 mph because it was probably moving when it
hit the front car; so, to make a better estimate one needs to estimate
the speed it had on the second impact. My final estimate based on
limited data would be the speed of car #3 on impact was greater than 20
mph.
ADDED THOUGHT:
If you are the driver of car #3, it is my impression that you are at fault
regardless of anything. It is the responsibility of all drivers to be
able to stop to avoid hitting another car at rest.
QUESTION:
If you are driving a car going 60 mph and you shine a beam of light from your car why isnt the light moving at a speed of the speed of light plus 60? The driver would measure the speed of the beam at the speed of light, but I'm pretty sure that to an observer the speed of that beam of light is moving 60mph faster than the speed of light. So technically, since the observer is at rest, isnt the beam traveling faster than the speed of light?
ANSWER:
See earlier answers.
QUESTION:
A jet plane is traveling 1000 mph to the West, a gun mounted on the airplane facing East fires a bullet with a muzzle velocity of 1000 mph, does the bullet travel in either direction, East of West, or fall straight to the ground?
ANSWER:
To an observer on the airplane the bullet has a speed of 1000 mph east. To
an observer on the ground, the bullet has zero velocity and, as you say,
falls straight down.
QUESTION:
the pressure at the bottom of earth's atmosphere is about 100,000 N/m squared. this means there is a force of 100,000N acting on every square meter of area! your body has about 1.5 square meters of surface.why arent you crushed by the atmosphere?
ANSWER:
Because we evolved in this environment and therefore there is a balancing
pressure from inside. Every cell has an internal pressure of
approximately one atmosphere. Think of a bottle which you have put a
cork in—why doesn't it get crushed?
QUESTION:
I noticed an answer of yours and you made a point that the fastest possible speed is the speed of light. Has this been proven? Or is it still a theory? Also isn't possible that there is some type of particle that we are unable to detect (as of now) that may actually move at a speed greater than the speed of light?
ANSWER:
This is the result of the special theory of relativity and the special
theory of relativity has been shown to be correct in more experiments
than you can imagine. The "speed limit" is clearly evident in our
biggest accelerators where we push and push on the accelerated particles
and they keep gaining energy but do not gain any significant speed once
they get close to the speed of light; we can get them to 0.9999999 the
speed of light, but never to it. There have been speculations about
there being particles going faster than the speed of light (dubbed
tachyons). But, "you can't get there from here", that is they have to
have always been there because it takes an infinite amount of energy to
accelerate something to the speed of light, let alone beyond.
QUESTION:
I am not sure if this is a "highly technical question" or not. My question involves the relationship between a photon's energy, frequency, and wavelength. I am having trouble understanding what a photon's "wavelength" is exactly! I know that the energy of a photon is E = hc/lambda, where the frequency = c/lambda. When an electron falls from the conduction band back down to the valence band, a photon is emitted. If frequency = c/lambda, then what determines wavelength? Is it the distance that the electron falls between energy gaps? Is it wrong to view "frequency" as vibration or rotation of the photon in this case?
ANSWER:
This is the kind of conundrum you can get into when dealing with
wave/particle duality. A photon of a given energy and momentum has a one
to one correspondence with electromagnetic waves of a given wavelength
and frequency. Energy and momentum of a photon are related as E=pc;
frequency and wavelength of a wave are related as f=c/λ;
the two are connected by E=hf. I think it is a mistake to try to
visualize the frequency or wavelength of a photon.
QUESTION:
I am an 8th-grade science teacher. We are teaching chemistry now and taught physics earlier this year. I did a small demonstration with dropping blue dye (food coloring) into water and watching the diffusion. We connect this back to physics by asking students to think about the dye molecules and what needs to happen for them to accelerate horizontally (there must be a force, Newton's 1st law) and then talk about where this force comes from -- the random motion of the water molecules. So we are using the physics the students know to introduce the basics of kinetic molecular theory.
The blue dye also moves vertically and in cold water this motion is much faster than the horizontal diffusion. I don't think the density is substantially different and indeed the dye does not settle to the bottom, it diffuses throughout. So we talked about gravity as a force acting on the dye molecules. But one of my most astute students quite reasonably said, if gravity is an unbalanced force acting on the dye molecules and causing them to accelerate toward the bottom of the beaker, then why wouldn't there also be unbalanced force on the water molecules, which doesn't seem to be the case?
So here is the question: Is it in fact gravity that immediately disperses dye vertically when dropped into water, or is it just the momentum of the falling drop? In general what are the forces on the molecules in a liquid that is "still" (not moving)? How do the forces from random molecular collisions relate to gravitational downward pull -- is one much stronger than the other, say for water at room temperature? Since the molecules are not accelerating downward, at least on average, then what force opposes gravity? Would you call it buoyant force when thinking about this at a molecular level? I would think not, the molecules aren't really floating. But it is not normal force either. Can you clarify?
ANSWER:
So, I tried this experiment myself. I believe that what happens is that in
cold water the drop of dye keeps its integrity long enough to sink just
like anything more dense than water would. As it falls, the influence of
the moving water molecules causes this drop to "bloom" and, as it
spreads out, its fall becomes less dramatic. In the hot water, this
"blooming" just happens quicker before the drop can fall very far.
Certainly, gravity acts on all the molecules, water included. However,
water is essentially incompressible and so the molecules can't all fall
to the bottom of the jar; the effect of gravity is that the pressure in
the water gets larger as you go deeper. When I did my experiment,
carefully letting the glass of cold water sit to still all currents, the
dye did initially have a large fraction settle to the bottom. In the
end, though, the molecular bombardment did redistribute it throughout
the whole volume.
QUESTION:
I need to know what is the mass of one milliliter of hydrogen protons! I need to know the answer in mass and show my work! I'm lost
ANSWER:
You can estimate the volume of a proton by assuming it is a sphere of
radius 10-15 m. Then, looking up the mass of a proton you can
get an estimate of its density, mass divided by volume. Now that you
have the density, you can get the mass of any volume (like a
milliliter).
QUESTION:
I think I correctly understand the idea of the following but not the actual physics of it... If there's MORE light going out a window than there is going in, I will see a reflection of what's on my side and if there's LESS light going out the window than there is going in, I will see what's on the other side. Why is this?
ANSWER:
I do not know where you got this from, but it is wrong. Light striking the window from either side will be partly reflected and partly transmitted. If there is much more light coming in from outside than there is reflected inside, you will not notice the reflection but it is still there.
QUESTION:
How can we find the initial velocity of a marble when we
have the angle it's launched at, the final distance traveled, and the
mass of the marble (special equations might be helpful) Please help us!
We are trying to calculate the velocity of a marble with a different
mass.
ANSWER:
The short answer is that, if air friction is negligible, it makes no
difference what the mass is. Ignoring air friction, we can write the
equations for the x and y positions of the marble as a
function of time t (assuming that x=y=0 at t=0).
Here, x is the horizontal position and y is the vertical position. These
equations also include the angle
θ
the initital velocity v0 makes with the horizontal and
the acceleration due to gravity g (9.8 m/s2 or 32 ft/s2).
x=v0tcosθ
y=v0tsinθ-½gt2
Now, if you put in y=0 (assuming the marble came back to the
altitude it started) and x=d (distance traveled), you can
eliminate t and solve for v0:
v0=√[gR/(2cosθsinθ)].
Note that this is all independent of mass. The reason that mass does not
matter: as Galileo himself discovered, all objects have the same
gravitational acceleration (neglecting air friction).
QUESTION:
I am trying to help my 10 yr old son with a project. He is an avid hockey player, he wanted me to help him figure out the force (easiest explained in lbs or kg) of a hockey puck hitting a goalie at various speeds. I suggested we look at Newton's second Law, F=ma. I am having a problem with units, though for a 6 oz puck, my results suggest 10 mph = 3.75 lbs, 40 mph = 15 lbs, 80 mph= 30 lbs etc. Am I on the right track?
ANSWER:
I don't know how you got your answers, but it is impossible to get any
answer by simply knowing the mass and the speed because the speed does
not determine the acceleration (which is rate of change of speed). So
you need to know or approximate the either the time it takes the puck to
stop or the distance the puck moves before stopping. Then you can
calculate the average force over that time or distance. This should be
evident because if the goalie wears a thick foam chest protector (which
causes the time or distance to be bigger than if he uses a hard shield),
he will feel much less force. And, working in ounces and pounds is
really hard—the English system just
does not lend itself very well to doing this kind of calculation. So,
let's do a simple calculation. The mass of the puck is 0.17 kg. Suppose
that the puck stops after the chest protector has compressed by about an
amount d=2 cm=0.02 m (a little less than an inch). A 20 mph puck
has a speed of about 8.94 m/s. To calculate the acceleration a,
use a=(v2/(2d))=8.942/0.04=2000
m/s2. Now that you have the acceleration and the mass you can
calculate the force: F=ma=0.17x2000=340 N=76 lb. The time it took
to stop was about t=v/a=8.94/2000=0.0045 s=4.5 microseconds. Keep
in mind that I have just guessed at the distance to stop. Note that the
acceleration is proportional to v2 so, assuming d
stays the same (which it might not) the force at 80 mph would be 4 times
bigger than that at 40 mph. (Incidentally, if you want to be able to
easily convert back and forth between different units, I recommend a
nice little free converter called, appropriately,
Convert.)
QUESTION:
What actually puts force on electrons to cause them to accelerate in a complete circuit?
ANSWER:
By causing there to be a potential difference across the ends of the
circuit (by a battery, for example), an electric field is established in
the conductor. This electric field causes electrons to experience a
force in the opposite direction of the field (because they are
negatively charged). This force wants to accelerate the electrons, but
they accelerate only a short distance and then collide with one of the
atoms in the conductor. Then this happens all over again, and again, and
again, etc. The net result is, on average, a slow drift of
electrons with constant speed opposite the direction of the field.
QUESTION:
What happens if one section of a complete circuit is replaced with a good insulator?
I know that in insulators, electrons are more tightly connected to individual atoms, so would the circuit slow down?
ANSWER:
What do you mean by "circuit slow down?" The total current
in the circuit would get smaller because you have increased the
resistance of the circuit by replacing a piece of conductor (low
resistance) by a piece of insulator (high resistance).
QUESTION:
I have a seemly simple question about conservation of energy (but I am confused). This question pertains to raising an object up and then letting it fall. I understand that it costs energy to raise an object to some height “h” which gives the object gravitational potential energy. Now let it be released and accelerated back toward the ground. The universe does work to accelerate the object back to z = 0. There is a force times a distance so work is done. So if a human does work to get the object up, and the universe does equal work to bring it back down, that should equal zero, where does all the energy come from to “smash” the object into the ground (assuming its broken into pieces which happens all the time). I’ve asked and they say, “no” is the kinetic energy which does the smashing. I’m not too worried what we call the energy, it took E to get it up, - E to get it down, then Es to do the smashing, which may get converted into heat, etc. It seems people ignore the energy the universe spent to bring the object back down considering that to be free.
In the reverse direction it makes more sense. Drop and “bouncy ball” from some height “h,” and it can (in theory) bounce right back to height “h” having zero velocity. But the ball doesn’t just explode at the top which would violate conservation of energy.
ANSWER:
You are right, you do work E to get it up and, when you drop it,
you get all that energy back just before it hits the ground.
Energy is not conserved going up (you are adding it) but is conserved
going down. What happens when it hits the ground? Let us take a simpler
example first, where all it does is stop; maybe it is just a ball of
putty. It has energy (kinetic) one moment and not the next. In the
meantime there was another force doing work, the force the floor exerts
on the ball. This force takes all the energy away from the ball (it must
do negative work, right?). And, if the ball is putty, you cannot get the
removed energy back. If, however, the ball is "bouncy", the compressed
ball will uncompress and, as it does that, the lost kinetic energy is
restored; the floor does positive work on the ball during this time. So,
the energy to "smash" say a glass ball comes from the work which the
floor does on it; this is evident because if you take away the floor,
the ball will not smash (or squish or compress).
QUESTION:
If an object is held stationary above the ground at a height of 10 cm, would work be done on it or not? I told my dad that work would be done because the object possesses gravitational potential energy but my father said that work would not be done since the object is stationary and work is force multiplied by displacement.
ANSWER:
Both and neither of you are correct. If the object is at rest, no work
is being done on it. If it was previously at a different height, say
the ground, work was done on it to raise it; that is where the
potential energy came from.
QUESTION:
Does the statement "a ball dropped from the top of a building increases in speed until it hits the ground" violate the law of conservation of energy?
ANSWER:
The law of conservation of energy is not a universal law, it is only true
under certain situations. If you define a conservative system as one in
which no external forces do work, then the total energy of that system
remains constant. In the case of the ball, it is not a conservative
system (the force the earth exerts on it, its weight, does work) and so
you do not expect its energy to remain constant; hence its kinetic
energy increases as it falls. If you are clever, though, in many cases
like this you can introduce a potential energy function which is a trick
to take a previously external force and internalize it. So, as the ball
falls its kinetic energy increases but its potential energy decreases
and the sum of the two remains constant. So, in this case the energy of
the ball is either conserved or not, depending on how you define energy.
But the case where it is not conserved is not an instance of "violation"
or the law because the law ought not apply to that case.
QUESTION:
When a body is being rotated in a circle by applying centripetal force, why doesn't it come towards the center of the circle since centripetal force acts towards the center of the circle?
ANSWER:
When a force acts on an object in a direction perpendicular to the
object's direction of velocity, it causes the direction of the velocity
to change but not its magnitude. In the case of a centripetal force, the
result is that the object moves in a circle with constant speed,
constantly changing its direction so that it is always moving tangent to
the circle.
QUESTION:
Just a quick question, Im a biologist and no virtually nothing of physics. There is currently a lot of debate here in the UK on the efficacy of homeopathic "medicines". According to homeopathists a 1M solution serially diluted 10^-50 (i.e. more than Avagadros constant) in water will somehow inprint a memory of the diluted molecule in the water.
The pro homeopath lobby are trying to explain this with Quantum mechanics, is there any scientific basis for this?
an example:
"From what I've read I think that Werner Heisenberg's theory of energy-time indeterminacy and Erwin Schrödinger's thoughts on there being many indeterminate states possible until a conscious observation is made are the most fitting regarding homeopathic efficacy.
These try to address the curious "tunneling" of electrons into unexpected areas of space, and the "wave function" of particles which are said to "collapse" into a specific state due to the act of being observed."
ANSWER:
In my opinion, this kind of statement is total nonsense. There is no basis
in physics or chemistry to support the claims of homeopathy that somehow
water molecules have a "memory" of previously dissolved chemicals. And,
if it were so, what about all the other substances which must have been
previously dissolved in the history of the water?
QUESTION:
We were discussing in a biochemistry class about atoms, how is it if you have atoms in your hand, and a table has atoms, Why doesn't your hand go through the table?
ANSWER:
This is one of the FAQs.
QUESTION:
Two balloons that have the same weight and volume are filled with equal amounts of helium. One is rigid and the other is free to expand as the pressure outside decreases. When released, which will rise higher? Why?
ANSWER:
On each balloon there are two forces—its
weight (which makes it want to fall) and the buoyant force on it (which
makes it want to rise). The weights are the same and never change. The
buoyant force is proportional to the volume, so whichever has the
greater volume has the greater buoyant force. The expanding balloon
wins.
QUESTION:
I recently found out that a bottle full of helium gas will weigh less than a bottle full of air. But would the helium bottle now weigh more or less than a bottle with the air pumped out of it?
ANSWER:
There is also the proviso that the pressures and temperatures of the two
gasses must be the same; for example, you could have the helium bottle
weigh more if you put enough helium in it. If you now evacuate the air
bottle, it will weigh less.
QUESTION:
Does the statement "a block sliding freely on level ice increases in speed until it hits a wall" violate the law of conservation of energy? Why or why not?
ANSWER:
It certainly does. If the ice is level and there are no external forces on
the ball which do work, where does the increased kinetic energy come
from?
QUESTION:
I'v always thought of a light wave as coming towards me going up/down or left/right is it true that it is actually spinning in a circle as it goes along
ANSWER:
Any of those are possible. What you are talking about is called the
polarization of the wave and, depending on the source or the
preparation, several polarizations are possible. in all cases, the
electric and magnetic fields are perpendicular to the direction of
travel.
QUESTION:
we were discussing time travel in class and learned that it is theoretically possible. We were thinking about this and wondered if it is possible to actually perform an experiment to prove this. Have there been any experiments that demonstrate this phenomena. Will traveling at great speeds actually cause a temporal shift? Also, does going back in time and "changing the past" affect present events or is it impossible to affect the present. We are aware of the "paradox of time travel" (going back and killing Mozart...would his music cease to exist?....or....going back and preventing your parents from uniting, would you cease to exist?)
ANSWER:
Here is what physics has to say about time travel: it is entirely possible
to travel forward in time but impossible to travel back in time. In the
theory of relativity, moving clocks run slow which is what allows
forward time travel; see my earlier discussion of the
twin paradox. Moving clocks
running slow (called time dilation) has been
verified experimentally in many ways. Since, as far as we know from
physics, backward time travel is not possible, we do not need to worry
about the kinds of paradoxes you ask about.
QUESTION:
we were discussing rational and irrational numbers in math class one day. First of all, we were told that the numbers in an irrational number will never show a repeating pattern. We believe that eventually it will have to repeat. Our teacher told us that experiments were done with "pi" that showed no repeating pattern for a huge amount of decimal places. We are convinced though, that the digits will have to repeat at some point. What do you think?
ANSWER:
First, I think I am a physicist, not a mathematician! But let me opine
that your "belief" is entirely unscientific. I suspect that there is a
quite rigorous proof that there is no repeating pattern. You need to
have a basis for making such statements other than "we believe".
QUESTION:
We were wondering about the "Planck Distance." First of all, is it true that this is the shortest distance possible? Secondly, if that is true, wouldn't the reciprocal of the Planck Distance be the greatest distance possible?
ANSWER:
See an earlier answer. The
flaw with your hypothesis about the reciprocal being the largest
possible distance is that it would be dimensionally incorrect, that is
its units would not be meters but rather meters-1.
QUESTION:
Ok you are on the north end of a south bound plane going 300 miles an hour and you throw a baseball forward at 95 miles an hour. So at what speed is the baseball traveling????
ANSWER:
You must specify who is observing the
baseball. The speed relative to you is 95 mph, relative to the ground is
395 mph.
QUESTION:
Can you please tell me what if any visible changes to the structure and composition of wood will result when electro magnetic energy passes through it or near it?
ANSWER:
There is no single answer to this. For example, a powerful laser is em energy and it would burn the wood. But radio waves usually have no affect on the chemistry. Over long periods, visible light can bleach or fade the color of wood.
QUESTION:
I dropped a bowling ball and ping pong ball from high above the floor. They hit the ground at the same time. A student asked about a balloon I also had. In that match, the ping pong ball easily bested the balloon (~8inch round). Why? Both are round, lightweight and filled with a gas. Is it aerodynamics/ air resistance? Smoothness of surface? I don't know what to tell them. Please Help!
ANSWER:
In the absence of air, all will fall
together. But, air friction is clearly not negligible for a balloon. Air
friction depends on the geometry (both are round, so that is not an
important factor), cross sectional area (balloon has a bigger area), and
weight (ping pong ball is heavier, probably). The area here is probably
the main factor; if you were jumping out of an airplane, would you want
a parachute of diameter 5 m or one of diameter 5 cm? To get a little
more quantitative, the terminal velocity, the maximum speed v
achieved by something falling through a fluid of density ρ, is
v=[2mg/(ρACp)]½ where mg
is the weight, A the cross sectional area, and Cp
a constant which is determined by the shape. You link to a bunch of
other answers on air friction on
the FAQ page.
QUESTION:
A 100,000 N car is raised a distance of 5 m by an effort force of 500 N. (consider this an ideal frictionless situation)
I have to solve for work output and work input, don't I need to know another force to do this?
Out of school too long.
ANSWER:
The only way that you can lift a 100,000 N car with a 500 N force is on an incline. Determine the angle where the component of the weight along the incline is 500 N and then how far you would have to pull up the incline to lift it 5 m. I have no idea what is meant by
"input" and "output" here. One would simply calculate the work done by the 500 N force, 500x(distance along incline). That is the concept. There is an easier way. Once the car is 5 m up it has an increased potential energy of
mgy=500,000 J which must be the amount of work done on it.
So, you see, not only do you not need another force, you do not need the
500 N force either!
QUESTION:
why isotopes are same in chemical properties and different in physical properties ?
ANSWER:
Because the chemical properties are
determined by the electron structure, not the nuclear structure. So,
changing the number of neutrons in a nucleus has almost no effect on the
electron structure which is determined by the charge of the nucleus, not
its mass.
QUESTION:
if the repulsion force between two protons in nucleus of iron atom is big value,the nucleus of iron is not destroyed?why?
ANSWER:
Because the Coulomb force is not the only
force acting. The nuclear force, also called the strong interaction, is
an attractive force which is much stronger than the repulsive Coulomb
force at close distances.
QUESTION:
Suppose an object tied to a string is being rotated. The string applies a centripetal force on the object. The object exerts a centrifugal force on the string as a reaction in accordance with Newton's third law.My question is that why we consider centrifugal force to be a fictitious force ?
ANSWER:
The object does indeed exert a force on the
string. But this is not what is called a centrifugal force, it is what
is called the force of the object on the string and exists because of
Newton's third law. The thing referred to as a centrifugal force is a
force which seems to be on the object but is not really there.
See my earlier discussion of
centrifugal forces.
QUESTION:
Here's a relativity question I've been losing sleep over.
If you're on an object that's traveling slightly slower than the speed of light and you fire a rifle, why does the bullet not exceed the speed of light?
ANSWER:
This has been discussed in several earlier
answers; see this one
for the most detail. In essence, it is that things just do not behave as
they do in classical physics when traveling at very large speeds.
Although you would see the bullet traveling with its usual muzzle
velocity relative to you, an observer at rest would not see the speed of
the bullet as the speed of you plus the muzzle velocity of the bullet.
Try to get some sleep.
QUESTION:
Hello, I was at a baseball game and my friend had a chance to catch a ball that came into the crowd. Being into Physics myself, I've always wondered to catch it safely, should you move your hands toward the ball, hold them still, or move them in the same direction as the moving ball?
ANSWER:
Move them in the same direction as the
ball. This allows you to maximize the time during which you are stopping
the ball thereby giving it as little acceleration (the rate of slowing
down) as possible. Acceleration of the ball matters because of Newton's
second law which says the force you must apply to stop the ball is
proportional to the acceleration it has. Hence if you minimize the
acceleration you minimize the force you exert on it; because of Newton's
third law, if you exert a force on the ball, it exerts an equal and
opposite force on you. So you will also minimize the force (which is
what hurts) on you.
QUESTION:
I know that to measure the half life of a radioactive element you just take a certain amount of it and count the rate at which the decay products change over time. But how do you measure the half life of neutrons where you do not have a pool of neutrons upon which to base your measurements as you cannot isolate a group of them?
ANSWER:
The difficulty of measuring you note is one
of the reasons that the half life of the neutron has a larger
uncertainty than some radioactive nucleus. There are, however, copious
amounts of neutrons in reactors and that is where such measurements are
made. Hence one must deal with beams of neutrons, not simply a box of
them.
QUESTION:
In a newton's cradle(which has usually 8 bobs or balls)if i let 5 balls bang on the other 3 balls then after collision 5 balls would move on the other side.Why 5 balls are moving and not three balls?
ANSWER:
Both energy (½Σmv2) and
linear momentum (Σmv) must be conserved where Σm is the
mass. Suppose that 5 come in and 3 go out. Then momentum conservation
says 3m0u=5m0v (where
v is the speed of the balls coming in, u is the speed of
the 3 balls going out, and m0 is the mass of one
ball). So, u=(5/3)v. So now, the energy of the incoming
balls is ½(5m)v2=2.5v2 and
the energy of the outgoing balls is ½(3m)u2=½(3m)((5/3)v)2=4.17v2;
so energy would not be conserved. The only way to have both energy and
momentum conserved is to have the same number of balls going out as went
in.
QUESTION:
Today in my physics class my teacher explained how a car being pulled by two ropes each having a force of 700 newtons could equal a magnitude of 1000 newtons, he said it had to do with mass and acceleration, i didn't quite understand this though, could you please explain this to me?
ANSWER:
Actually, it has nothing to do with mass
and acceleration, it is just addition of vectors. Two guys pulling on
two ropes attached to a car, one pulling south with 700 N and the other
pulling north with 700 N: no net force, zero. Two guys pulling on two
ropes attached to a car, both pulling south with 700 N: a net force of
1400 N south. Two guys pulling on two ropes attached to a car, one
pulling southeast with 700 N and the other pulling southwest with 700 N:
a net force of 990 N south. In fact, their net force can be anything
between 0 and 1400 N.
QUESTION:
An object is pulled at a constant F. KE0+PE0=0, so W=PE+KE. If there were no friction, the slope of a graph (KE+PE=Y-axis, W=X-axis) would be 1 and the y-intercept would be 0. What would the addition of friction do to the slope and y intercept (would the y intercept be more, less, or equal to 0 and the slope more, less, or equal to 1)
ANSWER:
The energy would still be equal to the work
done assuming that the energy of the system is zero at the beginning of
the experiment. So, even though the total work being done is both by F
and the friction, the graph you describe would still have a slope 1 and
an intercept 0.
QUESTION:
If a charged particle passes close by me, I will experience a magnetic field because of the electric current that the moving charged particle represents. I will also experience a magnetic field because as the charged particle approaches me and then receeds away from me, the electric field stength will change in an inverse square of the distance between myself and the particle. So do I experience two magnetic fileds combined ? or is the magnetic field from the current the exact same thing as the magnetic field from the change in electric field, just by way of a different explanation ? What if the charge is stationary and it's me that's moving ?
ANSWER:
You experience an electromagnetic field.
The sources of the magnetic field you experience are both the current
density and the time varying electric field. Similarly, the electric
field you experience is both from the charge and the time varying
magnetic field.
QUESTION:
According to the twins paradox [Relativity], one of the twins who goes on a space travel at a speed close to that of light, is much younger that his brother who stays back in Earth. Does that mean travelling at a speed close to that of light slows down biological processes also, as aging is a biological process?
No virus found in this incoming message.
ANSWER:
All clocks, including biological clocks,
slow down.
QUESTION:
I have read about a theorized elementary particle called the graviton. As I understand, or think i understand, gravity is not a force at all but a result of the warping of spacetime. Am I wrong?
ANSWER:
This has been answered before. See
FAQ question.
QUESTION:
Can the size of a photon be measured and if so, is it bigger or smaller than the electron and positron it is said to be changed into under the proper conditions? Or is the electron emitted larger than the photon from whence it came?
ANSWER:
See an
earlier
answer.
QUESTION:
a vertical conducting sheet is permitted to fall
under the action of gravity between the poles of a powerful permanent
magnet. is the motion of the sheet affected by the presence of the
magnet? explain.
ANSWER:
Yes. Eddy currents are
induced in the sheet which experience a force (as all currents do) from
the magnet. This is used as a means of braking
sometimes.
QUESTION:
What will happen scientifically on 21 dec, 2012?
ANSWER:
See earlier
answer.
QUESTION:
I’m having a problem with the issue of
gravity and force and with the issue of what laws of the universe in
which I should use. When it comes to the issues of gravity and force,
should Newtonian physics be used or should Einstein’s general
theory of relativity be used? (Main Question I Want Answered: Are the
matter of which the inner planets, such as Earth, Venus, and Mercury
made of pushed together by Einstein’s space-time curvature or are
the matter of which the inner planets, such as Earth, Venus, and
Mercury made of pulled together by gravity, which is described as
weight or mass times gravity?)
ANSWER:
Newton's universal law of
gravitation is what is called an empirical law: it is merely a
statement of experimental facts, a mathematical expression of how
nature works. What it says is that the force between two objects is
proportional to the product of their masses and inversely proportional
to the square of their separation. It says nothing about why
this force exists or how it is caused. General relativity, the
warping of space time by gravitational mass, addresses the why and how
questions. For most practical applications like celestial mechanics
(calculating how planets move, for example), classical mechanics is
just fine. In fact, however, Newtonian gravity is not exactly correct;
for example, it fails to predict that light is bent by gravity or that
clocks run at different rates in different locations in a gravitational
field. One can make corrections for general relativity, but they are
usually very small.
QUESTION:
According to my understanding of mass and
gravity, two objects (in a frictionless environment) fall at the same
speed regardless of their relative mass. For example, a basketball and
a bowling ball dropped from the same height would hit the ground at the
same time. My question to you is this: what if you held an object that
had the same mass as the earth over the earth? Would that object hit
the earth at the same duration as a basketball dropped from the same
distance from the hearth? Or would the gravitational pull of the
earth-size object pull the earth toward it and half the time they hit
each other relative to the basketball?
ANSWER:
Let's talk about what
happens. The earth exerts a force on the object which causes it to
accelerate toward the earth; because of Newton's third law, the object
exerts an equal and opposite force on the earth which causes it to
accelerate toward the object. As long as we are talking about objects
(like your bowling ball and basketball) which have a mass much smaller
than the mass of the earth, the earth, for all intents and purposes,
does not actually measurably accelerate toward the ball (because its
mass m is big and the force F is small so the
acceleratation, F/m, is exceedingly tiny). If you had an
object the mass of the earth but the size of a basketball, the earth
would accelerate up to meet it and they would meet halfway between. If,
however, it was also the size of the earth, it would be a much more
complicated problem because the acceleration due to gravity decreases
as you go farther away; at a distance one earth radius above the
earth's surface, the acceleration due to gravity would be only g/4.
QUESTION:
Suppose two unlike charges are executing simple
harmonic motion with no phase difference b/w them. Will there be a
phase difference b/w the EM waves produced by the two charges?
ANSWER:
The electromagnetic waves
created by each would be 1800 out of phase because the
difference in
the charges. Hence, if you were far away (far compared to the distance
between them) from these two oscillating charges, you would see no EM
waves at all.
QUESTION:
My teacher says we are able to stand on the
ground because of newton's third law i.e. the reaction from the ground
balances our weight but we are unable to stand on water or a pool
because there is less reaction to balance F=mg.But I don't agree with
this.What newton law says is that there must be an equal and opposite
force and hence even in the case of standing in water there must be an
equal reaction and hence we must stand on water or a pool.But this is
not the case.So I am confused with this.Please help me and tell me the
reason why we are able to stand on the ground and not on the pool.
ANSWER:
I am sorry but your teacher
is not right. The force that the ground exerts on you is not a
"reaction force" to your weight. It is a reaction force to the force
which your feet exert down on the floor. The reaction force to your
weight is the force which you exert on the whole earth because your
weight is the force which the whole earth exerts on you. Let us get
clear what Newton's third law says: if body A exerts a force on body B,
then body B exerts an equal and opposite force on body A. Newton's
third law never refers to only forces on a single body, only to forces
on two bodies. So, on you, there are only two forces, that which the
earth exerts down on you and that which the floor exerts up on you. The
reason that you are in equilibrium is because of Newton's first
law: if you are at rest, the sum of the forces on you must be zero.
Therefore, since you are at rest, the force from the floor must be
equal and opposite to your weight. Now suppose that the floor were made
of tissue paper. The floor would be incapable of exerting an upward
force equal to your weight and so you would not remain in equilibrium.
Now suppose that the floor is the surface of a lake. The surface of the
lake is apparently incapable of exerting the requisite upward force.
QUESTION:
We've learned in class that there are several
ways in which one can experience weightlessness: during free fall, like
jumping off a cliff, in orbit about a planet, going over a hill on a
roller coaster or someplace deep in space where the force of gravity is
very weak. There is one other place you can be and experience
weightlessness. The hint was you don’t have to leave the Earth to
find it, but it exists on other planets as well.
ANSWER:
As I always do, I should
first remind you that your weight is the force exerted on you by the
earth; therefore you are not really weightless during free fall, roller
coaster, or in orbit, it just seems that way. Only the situation where
you are free of gravitational forces are you actually weightless. I am
not sure what your instructor is looking for, but if you could place
yourself at the center of the earth you would be truly weightless
because there would be no gravitational force on you.
QUESTION:
why gravitational effects are ignored when
considering motion of electrons in electric fields
ANSWER:
Because gravitational
forces are insignificantly tiny compared to electric forces. Example:
an electron a distance of any distance r from a proton.
Gravitational force is Fg=MpMeG/r2
and electrostatic force is Fe=ke2/r2.
Hence Fg/Fe=MpMeG/ke2=1.7x10-27x9x10-31x6.67x10-11/(9x109x(1.6x10-16)2)=4.4x10-46.
QUESTION:
How fast is gravity communicated to the object it
is pulling on? For example, I know that the light from the sun takes
around 8 minutes to get to the earth. If the sun were to magically
"blip" out of existence, would the earth start to fly out of orbit
instantaneously, or would it take 8 minutes before it stops being
affected by the sun's gravity? Or is there another answer?
ANSWER:
I have
previously answered this question.
QUESTION:
Suppose I had an airtight cylinder filled with
water that extended to space. If I placed a bouyant object in the
cylinder, would bouyant force propel the object to the top of the
cylinder (into space)?
ANSWER:
I don't see why not.
QUESTION: 
Some years ago I have seen an experimental device
like a bulb with a shaft in it. This shaft could rotate. When I sent a
light beam onto the shaft, it started rotating. Can you explain this?
What is the name and where I can find such a device?
ANSWER:
Maybe what you are talking
about is a Crookes
radiometer. There are lots of places you can buy one; just Google
radiometer or physics toys.
QUESTION:
Why does acceleration due to gravity always
remain constant regardless of mass of object falling on earth ????
ANSWER:
See an earlier answer.
QUESTION:
i know that nothing can travel at or faster than
the speed of light. but, just simply why? what equations or whatever
says no...
ANSWER:
Because the mass of an
object, that is its inertia, increases as the velocity increases.
Therefore it gets harder and harder to accelerate it as it goes faster
and faster. The expression for the mass of an object m as a
function of its velocity v is m=m0/√(1-(v2/c2))
where c is the speed of light and m0 is the
mass when it is at rest. Note that as v approaches c, m
approaches ∞ so it is impossible to push beyond c.
Another way to look at it is from the perspective of energy. The energy
of a particle is E=mc2=m0c2/√(1-(v2/c2)),
so the energy required to accelerate the mass to the speed of light is
infinite and there is not an inifinite amount of energy in the universe.
QUESTION:
I know that energy is stored in Electric field
b/w plates of a capacitor, Is there any energy stored in Electric field
of an isolated charge? If yes then where does this energy comes from?
ANSWER:
There are sophisticated
mathematical proofs which establish energy density, momentum density, etc.
of electric and magnetic fields. But let us be a little less technical.
Imagine two point charges on top of each other, one positive and one
negative. There is a net charge of zero so there is zero electric
field. Now, move them apart and an electric field appears. If you move
the negative charge very far away you will eventually be left with the
field of the positive point charge and, as you note, this field has
energy. But you had to do work on the system in order to move the
negative charge away and that work may be thought to now reside in the
field. I just made that up, but the point is that it takes energy to
create any electric field.
QUESTION:
I am curious if the earths electro magnetic field
has any impact on the moons rotation around earth. if so, what effect?
I am under the impression that the earths magnetic field shifts
frequently between polarities. if this is so, then would there be any
effect on the orbit of the moon either immediately or long term?
to summarize further, does the Em force effect G or vise versa? what
about strong nuclear and weak nuclear forces? where do these forces
come in contact with each other in such a scenario if at all?
ANSWER:
As far as we know,
electromagnetism and gravity are independent and do not affect each
other. There is no known effect of the earth's magnetic field on the
moon.
QUESTION:
With the theory that the universe started from a
single point and thus expanded is there any thought as to where that
single point came from it seems the so called 'answer to everything
theory' starts just after the creation of the universe, for me if it is
agreed the universe started from a singularity then where did it come
from.
ANSWER:
This is answered on my FAQ page.
QUESTION:
How are electrostatic fields set up in space? I
believe I understand how to interpret such fields. What I am puzzled by
is how they originate or establish themselves, and how they are
maintained. Does the boundary of the field propagate at the speed of
light? Assuming it does, what is propagated? A wave? Or is it a pulse,
as in a 'nothing then something' pulse? Are there particles like
photons associated with this propagation?
For example, consider the field for a large charged flat sheet. It has
the same strength at any distance (less than say the smallest dimension
of the sheet), but it must set up some how? I'm puzzled by how. Then
once established, what is established? Does a electrostatic field
change a region of space for charges that find themselves in that
region of space? Also, the presence of a single charge will impact any
number of charges that enter the field (superposition), yet its effect
on any one charge is not diluted by the presence of others.
ANSWER:
Think of a crack starting
at one edge of a frozen lake and propogating across the lake. That is
essentially what electric and magnetic fields do but they propogate at
the speed of light. So, if you suddenly create an electric charge, the
field takes time to establish itself; so, if you were 300 m from where
the charge was created, you would not see a field from that charge for
3x102 m/3x108 m/s= 10-6 s=1 μs.
To answer the "…once established, what is established" question,
a field at some point in space will simply result in an electric charge
Q being placed there experiencing a force QE in
the direction of the vector E. Now, are they simple
mathematical constructs to help us visualize forces or, as you ask, do
they actually exist in the space where we visualize them? I believe
that the view that they are just a construct is wrong because an
electric field has an energy density, so energy resides where electric
or magnetic fields reside.
QUESTION:
Why does the mass of a particle increase as its
speed approaches the speed of light? And how does this relate to the
equation E=mc2?
ANSWER:
The reason that mass
increases is discussed in an
earlier answer. In a nutshell, it is because we need to redefine
linear momentum (mass times velocity in classical physics) so that
momentum is conserved for an isolated system. This results in mass
increasing as speed increases but faster than the rate the speed is
increasing. The mass may be written as m=√(1-v2/c2).
Since this quantity becomes infinite as v approaches c,
the energy required to accelerate something to the speed of light is
infinite, obviously impossible. The total energy of a particle with
speed v is mc2 where m is as given
above. See another
earlier answer for more detail on E=mc2.
QUESTION: 
why does earth has magnetic poles? is it just a
point or certain area? what caused it to occur?
ANSWER:
The origin of the earth's
magnetic field is rather complicated. Essentially there is a portion of
the earth's core which is molten iron which is ionized. The magnetic
field is generated by convective motion of the electric charges in this
ionized liquid and energy is supplied by various sources including
radioactive decay of heavy elements. I recommend that you read the
Wikepedia article on dynamo theory.
FOLLOWUP
QUESTION:
well i know about dynamo convection theory... but
dont know much about magnetic poles... how and why does the magnetic
poles exist?
ANSWER:
Well, a magnetic pole is
actually more or less a qualitative construct. If you have a region of
space where magnetic field lines are coming out it is a north pole; if
the field lines are going in it is called a south pole. Actually, the
earth's north geographic pole is a south magnetic pole and vice
versa. So, these two pictures show the poles of the earth and a bar
magnet. The precise location of the earth's magnetic pole is determined
by where the field lines come in (or go out) vertically. One important
concept about magnetic poles is that they never exist alone, that is
you will never find an isolated magnetic pole.

QUESTION:
If heat causes most materials to expand, why do
certain clothes shrink when put in the dryer?
ANSWER:
Obviously, shrinkage has
nothing to do with thermal expansion since the clothes do not return to
their original size when they cool down. So, we are really out of the
realm of physics. What happens is that cotton contains quite a lot of
cellulose and celluose is very good at soaking up water. But if the
water is removed very quickly, the cellulose fibers become considerably
shorter than they were, causing the whole garment to become smaller. It
is usually possible, by rewetting the garment, stretching it, and
drying it slowly, to reverse shrinkage.
QUESTION:
I want to know what actually electricity is? Is
it flow of electrons or just the electrons vibrate. If its of wave form
then whats the need of free electrons , even electrons in shell may
vibrate and pass the energy. And also what exactly is resistance, i
thought resistance is obstacle which reduces amount of current as it
passes throught it, but i find current remains constant, and instead it
affects the circuit as a whole, How ?? And when current remains same
then in what form energy is consumed by resistance like when it
generates heat or any way ???
ANSWER:
In a conductor, some
electrons are pretty easy to move (called conduction electrons). When a
potential difference is applied across the ends of the conductor it
causes an electric field in the conductor which, if the electrons were perfectly
free, would cause them to accelerate from one end to the other; in that
case, all the energy available from the power source would be converted
into the kinetic energy of the electrons. However, each electron, when
it starts to accelerate, quickly collides with one of the atoms in the
material and loses the energy it just gained and the atom gets that
energy. So the effect of the electric field on the electrons is
start-stop-start-stop-start-stop. There is a net flow of electrons
(that's the current) but on average there is no acceleration, just a
slow drift of electrons opposite the direction of the field. Each
collision gives an atom some added energy so the material heats up due
to the motion of the electrons (that's ohmic heating, resistance).
QUESTION:
Why is "back and forth" considered a different
dimension than "side to side"? If you are on a sphere (i.e. Earth),
aren't they really the same thing, depending on your perspective? If
not, then why isn't "diagonal" considered a different dimension?
ANSWER:
There is no difference if
you are on a sphere which is not rotating. However, if it rotates, you
are in an accelerating frame of reference and Newton's laws do not work
in accelerating frames. A rotating system is a particularly complicated
system to analyze, but we usually do that by introducing "fictitious
forces" which, when added, allow us to use Newton's laws; fictitious
forces you may have heard of are centrifugal force and coriollis force.
These "forces" depend on the direction of the angular velocity of the
sphere and also on the direction of the velocity of the particle you
are analyzing. I wouldn't say they are "differrent dimensions", rather
that the dynamics depends on the direction something moves.
QUESTION:
I have recently been pondering the potential
benefits of quantum entanglement. Basically, after knowing just a
little about the phenomenon, I thought that it might be possible to
transfer classical information at faster-than-light speed (actually,
maybe even at "immediate speed"). After doing a simple thought
experiment I confused myself and now I am unclear as to whether or not
it is actually possible.
The way I had setup my thought experiment is this:
1. Entangle two pairs of particles.
2. Send 1 particle from each pair to Pluto (obviously, this part will
take a long time).
3. If you want to communicate a "0" value for a classical bit, measure
your two particles on Earth along some axis A. Else, you want to
communicate a "1" value for a classical bit, so measure your two
particles on Earth along some perpendicular axis B.
4. Now this is the part I am confused on -- is there some way to
measure the two particles on Pluto in such a way that results in
knowing whether or not a "0" or "1" was intended? I thought maybe you
could measure one Pluto particle along axis A and the other Pluto
particle along axis B....
In any case, I really just wanted to know if any kind of real
faster-than-light communication can be achieved using quantum
phenomena.
ANSWER:
Here is the problem with
your scheme: Your measuring device must define a preferred axis. The
usual discussion of entanglement assumes the first device makes a
measurement and thus "puts" the first particle in either an up or a
down state thereby putting the second particle into a down or up
respectively state. The second observer, orienting his apparatus
similarly to yours (which I will call "vertical" since I have called
states up/down) can verify that this is true. But, suppose that the
second observer orients his device horizontally instead of vertically.
Then his measurement will either put the second particle in either the
right or left state, each with 50% probability. If you think carefully
about the logic of what I have said, you will see that it is not
possible to determine the direction of the spin of the second particle
even though you can verify its direction if you know the orientation of
the first instrument. Thus, your scheme fails since you cannot tell
which direction the second spin points, horizontally or vertically.
Thanks to M. M. Duncan who helped me understand this situation.
QUESTION:
While dealing with induced emf why do we always
take the example of a coil ? Is no emf induced in a straight wire? why?
Is self induction only the property of a coil and not a straight wire
why?
ANSWER:
Any area through which a
changing magnetic flux passes has an induced EMF around its edge. A
long straight wire does not define an area and therefore cannot have
any flux through it. If a straight wire moves through a magnetic field
(with a component of its velocity perpendicular to the field) there
will be an induced EMF between its ends because it "sweeps out flux".
However, a changing current in a long straight wire can induce an EMF
around an area through which the flux passes, for example an area in a
plane which the wire is in. A long straight wire cannot have self
inductance for the reason stated above: there is no defined area around
through which a flux could pass.
QUESTION:
I have been reading up on the photoelectric
effect and I have a couple of questions:
(1) I understand that the cutoff frequency of incident light (below
which no photoelectrons are emitted) occurs because not enough energy
can be imparted to electrons by low-frequency photons for the electron
to overcome the work function of the metal. However, could a given
electron absorb successive photons and in that way build up enough
energy, or will the photon typically be re-emitted before the electron
can absorb another?
(2) Electrons bound in atoms can only absorb photons with appropriate
energies (frequencies). Can free electrons (e.g. in a metal or plasma)
absorb photons of any energy?
ANSWER:
(1) See an earlier answer
about multiphoton ionization. (2) Bound
electrons can also absorb photons with any energy above the ionization
potential (the amount of energy necessary to remove the electron from
the atom. Indeed, free electrons can absorb any energy. In a metal
where the conduction electrons are essentially free, most if not all
the photoelectrons are from conduction electrons.
QUESTION:
what would happen if earth stopped rotating and if
its axis were perpendicular to its orbit
ANSWER:
The length of a day would
become one year, a half year of light and a half year of dark. This
would play havoc with weather. If the earth were not rotating, then it
would not have an axis.
QUESTION:
why there is no effect of gravity in the motion of
gas particles?
ANSWER:
There is. If not for
gravity, there would be no atmosphere since all gas molecules would
just zip off into space. See a recent
answer to a related question.
QUESTION:
I have a few questions relating to matter and
antimatter. 1. I know that if matter comes into contact with
antimatter, they are both annihilated. What if an antimatter element
with a low mass such as hydrogen comes into contact with a matter
element with a larger mass such as gold. Would the difference between
the electrons and positrons, protons and antiprotons, and neutrons and
antineutrons still remain or would the entire atom be annihilated? 2.
If the above scenario can happen, what happens to the remaining
particles? Will they annihilate with their opposites if they come into
contact with an atom?
3. If combining matter and antimatter creates nothing, then could you
create matter and antimatter from nothing?
ANSWER:
First of all, as far as I
know hydrogen is the only antimatter atom which has been made; because
of the predominance of matter, it is extraordinarily hard to manipulate
antiprotons, antineutrons, and positrons. If you did have, say, an
oxygen atom and an oxygen "anti-atom", positrons and electrons,
neutrons and antineutrons, and protons and antiprotons would interact
pairwise. (Other interactions besides "annihilation" occur leaving some
residual particles and/or antiparticles; the possibilities are very
many.) Regarding "annihilation" (which I take to mean the disappearance
of the pair with no mass present after the interaction), you do not
have "nothing" afterwards, but a pair of photons; energy must always be
conserved and so the energy after the annihilation of each photon is
the rest mass energy of an electron (for electron-positron
annihilation).
QUESTION:
My question involves the position of the stars in
the night sky.
Is there a way of working out the ACTUAL current position of very
distant stars and galaxies?
I'll explain what I mean: We are told that when we look at the most
distant objects in the universe; right at "the edge of the observable
universe" then we are seeing those objects as they were 13bn or so
years ago.
We are presumably seeing where they WERE 13bn years ago too, so where
would they be today? In my thought experiments on this subject I
imagine objects much further away than they appear and I would also
expect them to be shifted in all 3 dimensions. IE if an object appears
to be directly in front of me, then it's real position could well be
many degrees up and to the right, or possibly even in the complete
opposite direction, if it's moving fast enough.
Ok, I understand that many of the stars we can see are no longer with
us but it would still dramatically change a map of the skies if the
'current' positions of celestial bodies were mapped.
ANSWER:
There is no way to know
where distant stars are "right now" because special relativity forbids
information being transmitted at faster than the speed of light.
QUESTION:
Ok, I understand "knowing exactly" but surely if
you know where they were, roughly when it was, what direction they were
travelling and how fast, it could be estimated quite accurately I would
have thought...
ANSWER:
If you assume that you
understand all the forces which act on those stars (including "dark
matter" and "dark energy"), and if you assume you know all forces from
its neighbors which you do understand, including those neighbors that
you cannot see because they are too far away, you could do a
calculation to predict where they would be "today". Don't forget that
for the more distant objects you will have to know how to calculate all
these forces over a time of billions of years.
QUESTION:
Are all isotopes of iron magnetic or has nobody
ever performed experiments upon the isolated isotopes to find out?
ANSWER:
Ferromagnetism is an
atomic, not nuclear, effect and all isotopes of iron are ferromagnetic.
QUESTION:
Does gravity effect a magnetic field?
ANSWER:
Not that we know of, but
the relationship (if any) between gravity and electromagnetism is not
well understood.
QUESTION:
Can you settle an argument raging between physics
teachers?
When a capacitor is charged by a battery in a series R-C circuit, how
much energy is 'lost' during the charging process?
Some say 'always 50%', some say 'less' and some say 'none'.
ANSWER:
At the end of the charging
process (technically infinite time, but for practical purposes much
greater than RC), the voltage across the capacitor will equal V,
the voltage of the battery, since no current is flowing. The energy
stored in the capacitor is therefore ½CV2.
During the charging process, the current through the resistor is given
by i=(V/R)e-(t/RC) so the
instantaneous power loss in the resistor is i2R=(V2/R)e-(2t/RC).
If you integrate the power from t=0 to ∞ you will find the energy
lost to ohmic heating in the resistor is ½CV2.
So, exactly the same energy stored in the capacitor is dissipated in
the resistor. Hence, since the battery is the only energy source, half
the energy supplied is lost.
QUESTION: ;
earth is a magnet in rotation if so by faradays
laws it must induce current on all metallic objects on earth is this
possible and deductable???
ANSWER:
But objects on earth rotate
with it and so the field they see is constant.
QUESTION:
Law of conservation of Linear Momentum states that
the total Momentum of the system remains constant provided no external
force acts on the system. Which forces can be regarded as external, is
Friction an external force ?
ANSWER:
Friction between pieces of
the system does not affect momentum conservation. But friction from an
external agent would be external and cause momentum to be not
conserved. One simple example: a 1 kg mass sliding on a floor with a
speed of 1 m/s. Then the momentum right now is 1 kg m/s. But, if there
is friction between the floor and the mass, it will be slowing down,
that is losing momentum. Another example: a block of mass 1 kg sitting
on a floor with friction is struck by a bullet of mass 1 gram going
with a speed of 1000 m/s which lodges in the block. This is a question
you often see in books and you are asked to find out how fast the
block/bullet are going immediately after the collision using momentum
conservation. However, momentum is not actually conserved because the
bullet takes some short time to come to rest in the block and during
that time the block is sliding (with friction). The reason it works
(approximately) is that the time is very short and therefore the
impulse (approximately the sliding friction force times the time of the
collision) is very small.
QUESTION:
I have internet WiFi set up in my house, because
I have two different computers in different rooms. The wireless router
and the wirelessly-connected computer both use dipole antennas,
operating on a frequency range of 2.4210 Ghz to 2.4835 Ghz. This system
is put together using common components from the local big box store.
I’ve discovered a few web sites that show how to increase the
range and signal strength by making and installing a parabolic trough
reflector at one or more of the dipole antennas, constructed using
cardboard and aluminum foil. In the case of parabolic dish reflectors
(like the satellite TV dishes), there is apparently an optimum ratio of
f/D, which is the focal distance divided by the diameter. This ratio,
of course, defines the how “fat” or “thin” the
parabola looks. In my application, is there an optimum shape of the
trough parabola?
ANSWER:
The parabola has a focus
but D is not a useful concept. The advantage of a parabola is
that if a source is located at the focus the rays all come out parallel
to each other. In essence, instead of spreading in all directions the
waves come out in one direction. However, it will not be perfect and
the main effect is probably to take waves which would have gone out
away from the house and put them into the house. The equation of a
parabola, y=ax2, tells you the "fat/thin" you want
to know; the larger a, the "thinner" the parabola. You can't use a
simple D because where you cut off the parabola is arbitrary.
If the thing worked ideally (which it won't), the thinner the parabola,
the narrower the output beam so you would have to "aim" very carefully
at the other computer. Here is a great opportunity to experiment with
different shapes to see which suits your purpose best. I would guess
that the improvement, if any, would not be very dependent on the
detailed shape and that a cylindrical reflector would work just as well
in this application.
QUESTION:
I recently read an article about new imaging of
atoms and molecules using extremely brief pulses of electrons. This
made me wonder where do these researchers get electrons, like what
process? And then how is it possible to capture something so small as
an electron and then control it?
ANSWER:
Electrons are very easy to
get. If you have a wire and heat it up red hot in a vacuum, electrons
will stream from it. This is how old-fashioned TV sets worked (cathode
ray tubes) with a filament as a source of electrons. Once you get
electrons, they are easy to manipulate with electric and magnetic
fields.
QUESTION:
Suppose a ball is spinning at a rate at which the
surface is moving at the speed of light. Now what would happen if giant
rod was attached to the surface of the ball. Would the end of the rod
be moving faster than the speed of light since it would be covering
more distance at the same time as the surface of the ball as the ball
spins?
ANSWER:
First of all, groundrules
forbid questions assuming something goes the speed of light. Trying to
rotate a rod such that the end moves faster than the speed of light is
futile. The rod could not be strong enough to compensate for the fact
that the mass increases with velocity. Also, you could not get the
information to the other end of the rod that you were trying to rotate
it more quickly than at the speed of light (see
earlier answer).
QUESTION:
why two objects of different masses reach the
ground at the same time?
and what are the factors that affect their motion?
ANSWER:
The motion of a mass is
determined by Newton's second law, F=ma where F is the
net force on the mass, m is the mass, and a is the
acceleration of the mass. A mass in free fall (no air friction) has
only one force on it, its own weight which is the force with which the
earth pulls on it. It turns out that the weight is proportional to the
mass, that is W=mg where g is a proportioality
constant called the acceleration due to gravity. So, if you have two
masses, m and M you can calculate their accelerations, a
and A respectively.Therefore A=W/M=g
and a=W/m=g; since a=A the two fall
identically. (You can see why g is called the acceleration due
to gravity.)
QUESTION:
I know that Kinetic energy and Momentum are
related to each other. I have read that in every collision momentum is
conserved but K.E may or may not be conserved.How is it possible ?
ANSWER:
While it is true that
kinetic energy and linear momentum each depend on each mass and
velocity, they are different quantities and one can change while the
other does not. To determine whether momentum and/or energy are
conserved, you must know the physical conditions for conservation: if
there are no external forces on the system, linear momentum remains
constant; if there are no external forces doing work on the system,
energy remains constant. Also, techincally, if you know the kinetic
energy you cannot calculate the linear momentum because energy is a
scalar and momentum is a vector (although you can calculate the
magnitude of the momentum).
QUESTION:
When a radio signal is sent between two points,
by what means is the actual energy conveyed? Are areas of electron
density occurring between the points (matter waves?)? Radio is part of
the electromagnetic spectrum, so might they be photons instead? I ask
because I understand how signals are sent, but I just thought about it
a day or two ago and realized that I actually don’t know the
communicating force. Yipe!
ANSWER:
Read an earlier answer
about electromagnetic
waves. Since changing electric fields cause magnetic fields and
changing magnetic fields cause electric fields (again, see an earlier answer), the
wave is self sustaining, no "force" or medium is required for its
transmission. And, yes, electromagnetic waves may always be thought of
as photons.
QUESTION:
How much does a gas compress under its own
weight? For example, does a container 100m tall of xenon (a heavy gas)
have a greater pressure/density at the bottom than a 100m tall
container of helium ( a much lighter gas)?
Thanks for your help.
ANSWER:
I do not want to get
quantitative here by answering the "how much" part; that does not have
much general interest. Certainly a gas is compressed because of the
weight of the gas above it. That is why the atmospheric pressure gets
smaller as we go up in altitude. And, a vessel of any height will have
a higher pressure at the bottom than the top for this reason. The
weight of the gas will certainly make a difference and if your xenon
and helium have equal numbers of atoms in identical containers, the
pressure at the bottom of the xenon container will be greater.
QUESTION:
how do physicists come up with equations? i know
that may sound vague, but i was watching a program on Einstein coming
up with his equations, and the program said things like "he would sit
and come up with equations". i know it sounds like a stupid question,
but I am really interested in physics. I am currently a sophomore in
college majoring in Biomedical/ Mechanical engineering, and am thinking
about minoring in physics. I've been really interested in physics for a
while, and I've noticed that I can think in terms of physics to do
better in my mechanical lab/ design classes. So I guess what I'm asking
is this:
What books are there out there on how to come up with equations to
model phenomena with math/ physics equations?
ANSWER:
A question of this kind
essentially reveals that the questioner does not understand what
science is. Knowing equations is not what matters. What matters are
basic fundamental ideas or principles from which equations emerge
naturally. Here is a general example. Einstein most certainly did not
one day, by some insight, say to himself "aha, E=mc2!"
What he did was get the idea one day that the laws of physics must be
the same for any observer in our universe and that the speed of light
was the same for all observers. Starting with no more than these basic
principles and a knowledge of classical physics, he was able to write
all the equations of the theory of special relativity, including the
biggie above, by just doing the basic mathematics and physics.
Equations are the end, not the beginning, of a theory; you "come up
with" principles, not equations.
QUESTION: ;
Hydrogen is the most abundant element in the
universe. A star, such as the sun in our solar system can produce all
of the naturally occurring elements on the periodic table. Are all of
the naturally occurring elements on the periodic table created by
adding hydrogen atoms together under extreme temperatures and extreme
pressures? (Ex: 1 hydrogen atom equals hydrogen, 2 hydrogen atoms added
together equals helium, 3 hydrogen atoms added together equals lithium,
and so on.)
ANSWER:
Starting with hydrogen,
stars fuse nuclei together to get heavier elements, but not all heavier
elements. The net effect is to make helium from two hydrogen, but the
process is a little circuitous. Heavier elements are made by fusing
lighter elements, but not three hydrogen for a lithium, rather
something like a helium and a hydrogen; for example, see this link to see how
carbon, oxygen, and nitrogen are made.. After iron, energy is lost when
fusion to heavier nuclei occurs so it will not happen. The elements
heavier than iron are made when the star explodes (supernova) and the
energy from the explosion can be used to fuse heavier elements.
QUESTION:
Is there a mechanism that create Hydrogen? It
seems to me that over billions of yrs all of the H would be burned up
in stars. Where does it get converted back to H after its been used
up???
ANSWER:
This is the nature of our
universe. When all the hydrogen is burnt up (that is, converted to
heavier elements), that will be the end. After more than 14 billion
years, there is still quite a bit left.
QUESTION:
Can radioactive material such as Plutonium be
used to generate electricity in the same fashion as electromagnetics?
It just seems archaic to use nuclear material to heat water and so
forth as is currently done in reactors.
ANSWER:
But, heat is mainly where
the energy from fission ends up (kinetic energy of fission products),
so it is perfectly reasonable to use it to heat water.
QUESTION:
A geostationary orbit of any diameter above earth
would have variable speeds but the time completed of any geostationary
orbit would be relative to a 24 hour period on earth. Even if the orbit
were 2 light years, the geostationary object would complete 2 light
years in 24 hours time, the exact same as a 50 thousand mile
geostationary orbit.. This seems to violate what I know about Time
dilation. What am I missing? It seems impossible but all I would need
is a long enough hypothetical pole and I could violate the laws of
physics (as I know them). I'm sorry if this question is too elementary
and I'm missing something very obvious but I have searched and searched
for this answer and I just cannot understand enough physics vernacular
to find a simple answer to this.
ANSWER:
There is only one
geostationary orbit with a particular radius (about six and a half
earth radii). See satellites here.
QUESTION:
An astronaut steps away from the shuttle in orbit
and activates a retro fuel source to begin re-entry. Before entering
the atmosphere, a parachute is deployed. Question is: as air molecules
begin to inflate the shute, is it possible to realize a gentle re-entry
into the atmosphere and to the Earth's surface?
ANSWER:
I don't really know. You
have to realize that he is going at a tremendously fast speed (like
18,000 miles/hr) and the parachute would probably not slow him enough
before the air density got big enough to burn him up. Perhaps with a
well-designed parachute it could be accomplished.
QUESTION:
one section in my ice cube tray formed a
'mountain' of ice. it stands 9mm above the surface of all the other
cubes. in that there is no water source to this economy fridge and
water [to my knowledge] does not flow uphill, how is this possible?
ANSWER:
I have previously answered
this question.
QUESTION:
I am studying circular motion, and I understand
when something is swinging in a circle when attached to a string or
rope that is above it, say attached to a ceiling. The gravitational
force equals the y component of the tension, and you can set the
equation for the centripetal force equal to the x component of the
tension. Find both tension in the x and y directions, and you can solve
for the vector tension. What is not so clear to me is when you are
swinging something over head and the object is above the string or
rope. I came across a problem in my text that has a ball being swung
above your head such that the string made a 14 degree angle with the
vertical. So instead of the string being hung from somewhere and the
object attached to it being below it, the object is now above the
string. I hope my description makes sense. Anyway, in the solution, it
says that the tension in the y direction is equal to the force of
gravity, mg. But wouldn't the tension in the y direction plus mg be
equal to ma in the y direction?
ANSWER:
After pondering your question for a while, it just occurs to me that
maybe you are talking about the conical pendulum where the string
traces out a cone and the object moves in a horizontal plane. For your
second part, you cannot have a conical pendulum with a string, it has
to be a stick. Then the stick would have to exert a force on the object
which has vertical component up and equal to the weight to keep it
moving in a horizontal plane; a string, which can only pull along its
own length, could not do this. For your first (below support) problem,
there is a unique solution. For the second (above support) problem, you
cannot find the speed and the "tension" because the force the stick
exerts will not be along its own length. So, presumably, the second
problem asks you to find the force the stick exerts on the object for a
certain speed.
QUESTION:
I understand that gravity slows down time. So
this had me thinking. What would the speed of time be like in the
absolute middle of dead space (no matter whatsoever) compared to time
on Earth? Would it be so fast that it would almost be like it was
infinite? (I don’t know if that makes sense…) Would that
be an absolute reference point for time? I can’t seem to find any
answers, so thanks for your website and in advance for the
consideration of this question.
ANSWER:
The effect of gravity is
very small, at least gravity in the vicinity of something of the size
of the earth or the sun. So going to empty space (there is no such
thing, of course) would have little effect on rate of time.
QUESTION:
The force of gravity between two objects gets
weaker as the distance between them increases. Why is it more correct
to say the square of the distance?
ANSWER:
I wouldn't call it "more
correct", I would call it more quantitative. The first statement is a
qualitative statement which tells you it gets weaker. The second
statement is a quantitative statement which tells you how much weaker
it gets; e.g., if you double the distance you quarter the force.
QUESTION:
I seem to remember a law of physics from high
school about the collision of two objects with the same mass and
density which says something along the lines that the one traveling at
the higher velocity will break the other one. Do I have this right or
even close? What is the name of the law?
ANSWER:
There cannot be any such
law for more than one reason. First, the conditions for breaking depend
on properties of the object other than its mass or its density; for
instance, a glass ball would be more likely to break than a steel ball
and not because of any density difference. Second, there is no physical
difference whether ball A strikes ball B at rest or vice versa.
All that matters is the relative velocity.
QUESTION:
If a horse pulls on a calesa at rest, the calesa
pulls back equally as much on the horsse. Will the calesa be set into
motion?
ANSWER:
I learned a new
word—calesa; never knew that word before. Anyhow, what determines
how an object moves is the forces on it, not the forces by
it. Therefore if there is not some other force in the horizontal
direction (like maybe friction from brakes being set), the calesa will
accelerate in the direction the horse is pulling. What the calesa does
to the horse is irrelevant in the motion of the calesa.
QUESTION:
A hammer falls off a rooftop and strikes the
ground with a certain KE. If it fell from a roof that was four times
higher how would its KE of impact compare?its speed of impact?
ANSWER:
Since gravitational
potential energy is proportional to height, it would have four times
the kinetic energy. However, since kinetic energy is proportional to
the square of the speed, the speed would only be twice as great.
QUESTION:
If you accelerate at a constant 1G, how long
would your trip last ship time, for 100 years to pass on earth?
ANSWER:
As I explained in an earlier
answer, constant acceleration is not possible in special relativity.
QUESTION:
If all objects are attracted by the force of
Gravity to the center of the earth, why aren't air moloculesd sucked
down to the floor?
ANSWER:
They are, but they don't
just go there and stay. Since the molecules are flying around with
large velocities because of their temperature, they don't all just lie
on the floor. However, there are more near the floor than there are
near the ceiling. And, the higher you go, the fewer and fewer there are
and eventually there are none—space. If there were no gravity at
all, the air would all eventually leak out into space.
QUESTION:
When you're riding in an elevator (or the space
shuttle) you're accelerating away from the center of the earth. Gravity
accelerates you toward the center of the earth. Acceleration is a
vector quantity. So, why, when you're accelerating up at 9.8 m/s^2 do
you feel 2g instead of 0g?
ANSWER:
The way we do this kind of
problem is to use Newton's second law (N2). When you are in an
elevator, what forces are there on you? Only two, your weight mg,
straight down and some force F which the floor of the elevator
exerts up on you. N2 says that the total force on you equals your mass m
times your acceleration a, so F-mg=ma. If a=g,
then F=2mg. Since F is how you judge your apparent
weight, you feel twice as heavy as usual.
QUESTION:
What causes the creation of plasma? Is it two or
more nuclei being slammed together and heated to more than 200,000,000
degrees Fahrenheit or is it something else?
ANSWER:
If you have a solid and
heat it, it eventually becomes liquid. If you have a liquid and heat
it, it eventually becomes gas. If you have a gas and heat it, it
eventually becomes a plasma; to create a plasma, the average kinetic
energy per atom must be larger than the ionization energy of the atom
so that an inelastic collision can result in the removal of an electron
from the atom.
QUESTION:
With all the hassle that has been lately around
2012 - the end of mankind, I'm intrigated by the subject. I'm quite
curios what is your scientific opinion regarding this subject:
Will it be 2012 the end of mankind ? If yes why ? If not why ?
ANSWER:
My scientific opinion is
that it is astrological nonsense. See my earlier answer.
QUESTION: 
I’m having a problem determining the
difference between Nuclear Fusion and Nuclear Fission. Listed
below are some information that I’ve found. Could you clarify the
major differences between the two, especially when it comes to matter
that is heavier or lighter? Nuclear fusion - is the process by which
multiple like-charged atomic nuclei (two or more joined together) join
together to form a heavier nucleus. It is accompanied by the release or
absorption of energy, which allows matter to enter into a plasma state.
Nuclear fission - is a nuclear reaction in which the nucleus of an atom
splits into smaller parts, often producing free neutrons and lighter
nuclei, which may eventually produce photons (in the form of gamma
rays).
ANSWER:
The important concept here
is that if you find a reaction which results in less mass after the
reaction than before the reaction, you will release energy because E=mc2
and energy is conserved in an isolated reaction. Hence, if you lose
mass, that energy must appear elsewhere. Where it usually appears is in
kinetic energy, that is thermal energy of the reaction products. Iron
is the most tightly bound nucleus, that is the mass of the average
nucleon (a nucleon is a generic term for neutron or proton) is
smallest. As shown in the figure, average nucleon mass steadily
increases if you get heavier or lighter than iron. Hence, splitting a
nucleus twice the size of iron or heavier results in mass loss and
therefore energy gain; this is called fission. Similarly, fusing two
nuclei half the size of iron or smaller results in mass loss and
therefore energy gain; this is called fusion. Fusion is the source of
energy for stars and hydrogen bombs. Fission is the source of energy
for nuclear power plants and conventional nuclear bombs.
QUESTION:
Can you please explain how physics is used with
character animation and animated films (disney, pixar, etc)? I am just
wondering as I want to be an animator, but am struggling with physics.
ANSWER:
The object (one, anyway) of
animations is to make the scenes look real, believable. So description
of motion (kinematics) is important to understand, I would think. The
way things move and respond to forces in the real world is determined
by the laws of physics and therefore those same laws apply to a
simulated real world (animation).
QUESTION:
I read an answer of yours that ended with
"Because water is essentially incompressible, the density of the water
does not change as you go deeper and therefore there would be no depth
at which a sinking object would stop sinking." I've never really
thought about it, but now I'm wondering "If not from density, where
does the increasing pressure (like what you feel in your ears) come
from?"
ANSWER:
The pressure in a fluid is
due to the weight of all the fluid above it. Atmospheric pressure in
the air is due to the weight of all the air above it; because air is
compressible, the higher the pressure, the higher the density.
Similarly, deep under water the high pressure is due to the weight of
all the water above you and the deeper you go the bigger it gets;
however, since water is essentially incompressible, the increased
pressure does not result in increased density.
QUESTION:
Once an artificial satellite is placed in orbit
above Mars it stays in orbit, why does this happen or does it simply
follow the same principles that apply to it for staying in orbit above
earth?
ANSWER:
The laws of physics are
exactly the same in the vicinity of Mars as they are on earth. The mass
of Mars is different and so the periods of stationary orbits will
differ from what they would be around earth, but it is all determined
by classical gravitation and classical mechanics. Mars has two natural
moons as well,
Phobos and Deimos.
QUESTION:
I am a high school physics teacher and am having
some difficulty with part of the Compton Effect. I am trying to come to
grips with whether the collision between the x-ray and the electron is
elastic or inelastic? From what I have been able to find on the
subject, when the x-ray collides with the 'whole' atom it results in an
elastic collision and the x-ray leaves with the same frequency with
which it came in with. On the other hand, when the x-ray collides with
something closer to its own mass (an electron), it results in an
inelastic collision and the x-ray is ejected with a lower frequency and
energy. Any help you could provide would be greatly appreciated. I hate
to think that I am not teaching it correctly and sending my students
out into the world with misconceptions imparted to them by me.
ANSWER:
The Compton effect is
elastic scattering of photons from some mass. Elastic does not mean
that the energy of the incoming particle remains constant, it means
that the sum of the energies of the incoming particle and the target
remain constant. Assuming the target is at rest before the collision,
after the collision it will recoil and carry away some of the energy
which the photon brought in and the only place it can get this energy
is from the photon. It is maybe easier to see this by thinking about
classical particles. If a BB (photon) hits a bowling ball (whole atom),
the bowling ball is almost at rest after being hit and therefore the BB
has approximately the same energy (and speed) after the collision. If
the BB (photon) hits a marble (electron), the marble will be moving
after the collision so the BB must have lost energy (and speed). Both
processes are elastic. An inelastic collision is one in which the total
energy before and after are not equal.
QUESTION:
why do you hear your friends talking in he
hallway even though you can't see them around a corner?
ANSWER:
Two reasons: reflection of
sound from walls and diffraction of sound around the corner. See this link
for more details.
QUESTION:
I am curious about something that I just read in
an earth science book about the shape of the Earth. Since the polar
circumference is less than the equatorial circumference, the Earth is
an oblate spheroid. The authors attribute this shape to centrifugal
force caused by the Earth's acceleration. However, I thought that
centrifugal force was not a real force, but was instead due to a mass's
inertia resisting the acceleration. Am I misunderstanding the concept?
Thanks for helping me resolve this conundrum.
ANSWER:
(This is sort of a
long-winded answer, but I want to have an explanation of centrifugal
and fictitious forces I can later refer to.) Centrifugal force is what
we call a fictitious force. In an accelerating system, Newton's laws
are not true. For example, if you are inside a big rotating drum you
feel a force pushing you into the wall, right? Well, actually you do
not; what you feel is the wall pushing you toward the axis of the drum.
Your brain is trained mostly in nonaccelerating systems (moving with
constant velocity) and so it wants to use Newton's first law which says
that if an object is at rest the forces on it must add to zero; to make
Newton's first law true (you are at rest in your system which is
accelerating), your brain invents a force equal and opposite the
centripetal force. This is called the centrifugal force and it does not
really exist. A fictitious force is one we invent to force Newton's
laws to be true in an accelerating system. Just because it does not
exist does not mean that we cannot do physics with Newton's laws using
it. If the accelerating system is a centrifuge, it works, doesn't it?
The heaviest stuff is "pushed out" by the centrifugal force is true
even if centrifugal force is just something we made up to make
calculations easier. The rotating fluid earth is a little complicated,
but I think that it is pretty intuitive: a ball of putty (or pizza
dough) made to rotate faster and faster will stretch out into a pancake
and you can say it is the centrifugal force which is causing it. A
simpler case of "centrifugal stretching" is the following. A spring is
attached to a nail at one end and a mass at the other. If you make it
rotate about the nail, the spring will stretch out just the right
amount so that the force of the spring will provide the necessary
centripetal force. But if you make it go faster, a larger force will be
required and so the spring will have to stretch more to do that. That
example is easy to see without centrifugal force, but if you view it
from the perspective of the rotating mass, you will say the centrifugal
force pushes you out.
QUESTION:
I would like to know if the protons and neutrons
of metals such as nickel move about and vibrate relative to each other,
or to they stay put (relative to each other)--while the atom vibrates
and moves based on heat, chemical and magnetic affects, and other
factors. If no one knows the answer to my question, if it's not known
by the scientific community, then this is okay. Just say, "no one
knows...the models we have today don't tell us."
ANSWER:
If you mean do the atomic
nuclei (wherein reside all the protons and neutrons) move in response
to the actions you note, then, yes, absolutely.
QUESTION:
More quantum entanglement! The measurement of one
side of the pair is said to "put" the other one into the same state
(say spin up or spin down). But I don't see that the spin being
indeterminate (prior to a measurement) prohibits the entangled pair
from having "synchronized" spins, that occurred at the event that
produced the entangled pair. How do we know that is not the case as
opposed to the "put" action at a distance?
ANSWER:
I think you have the idea
right. The use of the word "put" seems to be bothering you. The point
is that the "entangled" particles are just that, what one "is" is
determined by what the other "is"; call that "synchronized" if you
wish. The pair is really a single system so making a measurement on one
"collapses" the system to the required "synchronized" state.
QUESTION:
I noted in some physics books that centrepital
acceleration is inversely proportional to R (radius) while in others
(and sometimes in the same text) that it is directly proportional to R.
In the first case the book uses (a=v2/R) while in the second case the
book refers to the formual (a=w2R). I feel something is wrong in this
logic, as what relates a to v and R is basicaly a definition of the
centrepital accelelration. Can you help?
ANSWER:
The "catch" here is that
both velocity (v) and angular velocity (ω) depend
on R, v=Rω. So the two equations you quote are
the same: a=v2/R=(Rω)2/R=Rω2.
It is incorrect, therefore, to say that the centripetal acceleration is
proportional to R (or 1/R) unless ω (or v)
is constant.
QUESTION:
why is current a qualitative concept
ANSWER:
Do you mean electric
current? It is not a qualitative concept. Electric current is the
amount of electric charge per unit time. 1 Ampere=1 Coulomb/second.
QUESTION:
My question is about Vacuum. it is the absence or
air or any matter? there is a vacuum particule or something like that?
ANSWER:
Normally vacuum refers to a
volume from which all gas has been removed. If there is a solid object
inside this volume, we would still say there is a vacuum but the object
would not be part of it. There is nothing called a vacuum particle.
However, our modern understanding of a vacuum is that there are virtual
particles (like particle-antiparticle pairs) popping into and out of
existence, existing only for as short a time as allowed by the
uncertainty principle; this is referred to as vacuum polarization. So,
in some sense, there is really no such thing as a completely empty
space. Maybe you have heard the old saying "nature abhors a vacuum".
QUESTION:
I was standing at the bottom of the stairs in my
house (which has a downstairs and upstairs heating zone) and felt cold
air gently falling down from above (we have not yet turned on the
upstairs heating zone). Then I thought of the phrase "hot air rises"
and it did not ring true. Almost the opposite! Cold air "sinks". I was
wondering if the answer really had to do with the idea of displacement
instead of convection.
ANSWER:
This sounds more like an
issue of semantics than of physics. Warm air rising displaces the
colder air and forces it down, the only place it can go. So, does cold
air sink? Sure, but it is doing so because it is displaced by rising
warm air.
QUESTION:
Can you tell me what sort of voltages can be
achieved by a thermocouple when the temperature difference is only
about 100° C ?
ANSWER:
Typically a few millivolts.
Read the Wikepedia article on thermocouples.
QUESTION:
If I run my computer with a 300W power supply, it
will produce a lot of heat (as well as doing useful work).
Will it be just as efficient at heating my house as running a 300W
electric heater? Or will the 300W electric heater somehow produce more
heat per unit of energy put into it? If the computer is less efficient,
then where does the extra energy go?
ANSWER:
A 300 W power supply means
that it can supply up to 300 W if called upon to do so, not that it is
continuously consuming 300 W. Usually, it supplies much less than that.
Not being 100% efficient, not all power it consumes is supplied at its
output; rather some power is wasted in heating itself up. Therefore, if
a 300 W power supply is running at full power, it is consuming more
than 300 W of power from its source. In any case, it will certainly
supply less heat than a 300 W electric heater which converts nearly all
of its input power to heat.
QUESTION:
Does a planet that is spinning on it's own axis
exert more or less gravity (on its inhabitants) than a planet, of the
same mass and distance from the sun, that is still ? What would happen
to people and matter on earth if it stopped rotating on its own axis?
Would we get heavier?
ANSWER:
As I have said repeatedly,
the weight of something is the force the earth exerts on it and
therefore independent of its motion. However, your apparent
weight will be changed if the earth rotates on its axis. The apparent
weight is the weight which would be registered by a scale you are
standing on but it is not a measure of your true weight if you are
accelerating (as you are in a rotating system). For example, if you
were in an upward accelerating elevator you would appear to weigh more
but would not. It depends on where on earth you are located; at the
poles there would be no effect (true=apparent weight) and at the
equator you would have maximum effect. For more details about how to
calculate this see an earlier answer.
As you will see there, if the earth stopped rotating you would appear
to be about 0.35% heavier on the equator.
QUESTION:
if you push on a tennis ball and a bowling ball
with the same force which ball with roll faster? Why?
ANSWER:
Newton's second law states
that if a force F is exerted on a mass m, its
acceleration a will be given by a=F/m. Therefore, pushing with
equal forces for equal times will result in a greater final speed for
the less massive ball (the tennis ball) because it had larger
acceleration.
QUESTION:
Why is it more difficult to spin a metal cylinder
around an axis perpendicular to its length than parallel to it?
ANSWER:
Why is a more massive
object more difficult to get moving than a less massive object? Because
of inertia. In translational physics (moving along a line) inertia
depends only on mass. In rotational physics, inertia is determined not
only by the mass but also by the geometry. The quantity that plays the
role of mass (that is the quantity which quantifies resistance to
rotation) is called moment of inertia. The farther the mass is from the
axis around which you are trying to rotate it, the harder it is to
rotate it. For an axis along the symmetry axis of the cylinder, most of
the mass is close to the axis and so it is easy to rotate. For an axis
through the center but perpendicular to the symmetry axis, much of the
mass is much farther from the axis of rotation and so it is harder to
rotate.
QUESTION:
Why do objects appear black? A pure black object
would absorb all light so could not be seen since no light would be
reflected.
ANSWER:
If an object were truly
black (absorbed all light striking it), you would not be able to see
any detail on it. For example, if there were a lump on it, you would
not be able to see it because your eyes would have to form an image of
the light coming from the lump but there isn't any such light. However,
you would be able to ascertain its shape because your eyes could image
the light passing by its edges. Of course, there is no such thing as a
perfect absorber and in the real world there is always come light
coming from a "black" object.
QUESTION:
Is there any way to visualize electromagnetic
field lines similar to Faraday's experiment using iron shavings to
visualize magnetic field lines? For example, is there a powerderized
substance that could be tossed in the air that would expose the outline
of an electromagnetic field?
ANSWER:
Grass seeds or semolina
seeds in oil work for showing an electric field (I think you must mean
electric, not electromagnetic). They become electrically polarized like
iron filings become magnetically polarized and align with the electric
field.
QUESTION:
How do I figure out my weight when I am impact a
hard surface at different speeds? Example If I am traveling at x mph,
how much will I weigh when I hit the ground from h height?
ANSWER:
Weight is the force with
which the earth pulls on you. It makes no difference how fast you are
going or whether you are hitting the ground or anything else. Your
weight is your weight.
QUESTION:
It's very cold in my house, so I turn off the
heat when I leave the house. When I come home, I turn the heat back on
and it heats the house for a very long time. Is it more efficient to
leave the heat on all day (so it must only heat the house a small
amount each time the temperature drops below a certain point) or turn
the heat off when I leave the house and let it heat the house for a
very long time only after I get home?
ANSWER:
You should turn your heat
down when you leave the house or off if there is no danger of freezing
pipes, killing houseplants, etc. The physics behind this is
simple: the rate at which heat moves from a warm space to a cold space
is proportional to the temperature difference between the two. All the
furnace does is replace lost heat and the less heat lost, the less
energy will be consumed. The problem is, of course, that it might be
unpleasant waiting for the house to get comfortable. I think the best
thing to do is get a programmable thermostat so you can set it to come
on an hour before you get home and an hour before you get up in the
morning. Then just leave it off all day and all night when you are in
bed under some good comforters.
QUESTION:
Why are there two definitions of gravity?One
states that gravity is an artifact of a change in direction of mass in
the curves of spacetime.The other states that gravity is a force
generated by the theoritical " graviton particle".At lectures I have
seen physicist interchange these definitions,which confuses the
audience,and become very angry when questioned about the
inconsistencies between the two.I have never had a proper answer to
this question and.in fact, have been called an idiot by lectures when I
bring this question up.
ANSWER:
Really, called you an
idiot? And for just asking for clarification? Such a speaker is an
arrogant jerk, in my opinion. Anyhow, I would judge him as the idiot
because there is no evidence that gravitons even exist and to put them
on equal footing with the theory of general relativity is ludicrous.
There is a serious problem in physics: we have been unable to reconcile
gravitational theory (general relativity) with quantum mechanics, i.e.
there is no successful theory of quantum gravity. If there were a
theory of quantum gravity, there would be a quantum of the
gravitational field, much like the photon is the quantum of the
electromagnetic field, and this would be a graviton. A graviton has
never been observed and there is no successful theory of physics which
has a graviton as a component.
QUESTION:
e=mc2....
why the speed of light? What is significant about the speed of light in
determining the amount of energy in matter? How does multiplying mass
by the speed of light squared give one an amount of energy? What does
the speed of light have to to with energy? WHY THE SPEED OF LIGHT?
ANSWER:
This kind of question
implies that some particular equation should stand alone and somehow be
comprehensible on its own without anything else. In fact, the famous E=mc2
is just one small part of the theory of special relativity and must be
derived within that theory. Starting with the postulates that the laws
of physics must be the same in all inertial frames of reference and
that the speed of light is the same for all observers, all of special
relativity follows. (Actually, the second postulate is simply a special
case of the first as I have discussed in earlier
answers.) You may read a brief
derivation in an earlier answer.
QUESTION:
Could the accelerating expansion of the universe
be due to electrostatic / magnetic repulsion? After all, gravity is the
weakest of forces and the normal expansion (leading edge) of the
universe makes the intergalatic / gravatic attraction weaker as time
goes on. The weaker the gravatic attraction, the more the other effects
become more noticeable. If true, this would not counter the proposed
dark matter / forces, it would just be another aspect of what might be
happening to accelerate the expansion.
ANSWER:
As my disclaimer says, I am
no astrophysicist. However, I find it impossible to believe that
electromagnetism could possibly be responsible for "dark energy", the
term usually attached to this accelerating expansion. The reason is
simply that the universe would have to have a huge net charge and there
is no evidence to suggest that this might be. Keep in mind that even
though gravity is the weakest force, it need not be the least
influential if there is a huge amount of mass around, as there is. My
own feeling is that we do not understand gravity as well as we think we
do and that is the reason for the anamolous dark matter and dark energy.
QUESTION:
Imagine two electrons, side by side, are moving
along at a constant velocity. If these electrons were to fly past a
person sitting on a chair, would that person see the electrons repel
with a force of F=kqq/r^2 or would there be an additional magnetic
force of attraction between the electrons? Would only the person in the
chair experience the magnetic field generated by the moving charges?
ANSWER:
This is actually a pretty
complicated, advanced problem. The fields of moving point charges are
not as simple as you would guess from what you know about electric
fields of stationary point charges and the magnetic fields of
current-carrying wires. The answer to your question is that the
electric force is not what you state because the electric field of a
moving charge is not the same as that for a static charge. Also, there
will be a magnetic field and therefore each moving charge will
experience a force due to the magnetic field of the other. If you
really care, here are the fields for a point charge moving in the x
direction with speed v. Let E0
be the electric field in the rest frame of the point charge and E
be the electric field in the lab frame. Then Ex=E0x,
Ey=γE0y, Ez=γE0z where γ=1/√[1-(v2/c2)].
The magnetic field may be calculated from B=-(vxE)/c2.
Notice that if v<<c, the force is approximately
the force which you state, i.e. E is little
changed and the magnetic force is very small compared to the electric
force.
QUESTION:
It is my understanding that quantum physics
states that the existence of some subatomic particles is probabilistic
(sometimes you can locate an individual particle sometimes you can't).
The lack of ability to ascertain both the velocity and location of some
subatomic particles has led some to assert further dimensions and even
multiple universes. I am wondering if these theories (i.e. string and
multiverse) could be challenged if we come up with equipment that can
get both velocity and location of these particles. Do these theories
work with or without such equipment? How?
ANSWER:
The problem is not that we
don't have accurate enough equipment; the problem is that these
quantities are actually unknowable no matter how carefully you measure.
As you know if you read this site, I have little time for string
theories and am unaware of their having come into being because of the
uncertainty principle. However, there is nothing to "challenge" because
these theories do not make any predictions.
QUESTION:
Can sunlight be distilled- Passed through a prism
where certain wavelengths would be directed to heat water, generate
electricity, grow plants, etc. more efficiently?
ANSWER:
An interesting choice of
words, "distilled". Yes, you certainly can do that. But I do not
believe you would gain anything at all and certainly lose. Unless the
light with less than ideal wavelengths for some task actually caused a
negative effect, that is inhibited the task, you would lose their
contributions. Much more important is to concentrate the light, to
gather light from a big area to get more of it.
QUESTION:
i noticed that if it takes light 1 second for it
to reach about 300 million meters. this means that all we see around us
is not present but the past? because when we see a supernova blow up
and the news reached earth we are seeing it as it happened thousands of
years ago. so, when i am seeing lets say a cabinet at 10 meter we are
seeing it in the past? i am really confused...
ANSWER:
Yes, anything you see you
are seeing in the past, technically. However, anything within a few
thousand meters is being seen such a tiny time later that your eyes or
brain could never process and observe such a time delay. For all
practical purposes, everything you can see (excluding anything not on
earth like stars, planets, the sun, even the moon) are happening
simultaneously and right now. There is one interesting exception. For a
GPS to work accurately times must be extraordianrily accurate;
therefore corrections are made for times of transit and relativistic
effects on time.
QUESTION:
i don't have a teacher and i'm studying myself.
It's because of that i can't go to a high-school in Islamic Republic.
I wanted to know if you could help me please with my questions.
Well, i have faced with a problem that says:
We have a box with two light strings on two opposite sides of the box.
We hang the box from ceiling by one of the strings. (It means that the
system is vertical.) The problem says: if we pull the lower string
suddenly, only the lower string will be cut from the box (system); but
if we pull it calmly and continuum, the upper string will be cut from
the the ceiling; so all of the system (except ceiling) will fall.
ANSWER:
The string has a maximum
tension it can have without breaking. Before you do anything, the lower
string has a tension of zero and the upper string has a tension equal
to the weight of the box, W. If you pull down on the lower
string with a force bigger than the maximum tension, it will break. If
you pull down with a force F smaller than the maximum tension,
the lower string will not break; but the tension in the upper string
will be F+W and if this is bigger than the maximum tension,
the upper string will break.
QUESTION:
if an object say golf ball, fell from say a plane
how long would it fall before it would stop getting faster or would it
maintain its speed gain.
ANSWER:
Let's say it is a hovering
helicopter because something dropped from an airplane already has a
large forward velocity which complicates things. You will find a
lengthy discussion about this problem at this
link. I have lifted these two graphs from that website. The first
graph shows that it takes about 10 s for terminal velocity (about 34
m/s down) to be (almost) reached. The second graph shows that the golf
ball would have fallen about 250 m in 10 s.
 
QUESTION:
if you shoot a bullet out of a gun, straight down
off a high building, will it get more speed or stay at the same speed?
ANSWER:
...or maybe slow down? If
you drop a bullet (or anything) off a high place it experiences two
forces, its weight (gravity) down and air resistance up. The air
resistance gets bigger the faster it falls. Eventually the bullet will
reach a speed where the weight and air resistance are equal and it
stops speeding up. This speed is called the terminal velocity. If you
shoot the bullet straight down with a speed larger than the terminal
velocity, the upward force on it from air resistance will be bigger
than the downward force of its weight and so it will slow down. The
terminal velocity of a bullet is about 100 mph whereas the muzzle
velocity is about 1000 mph (these are just rough numbers). So the
bullet will slow down and, if the building is tall enough, it will slow
down a lot.
QUESTION:
I am doing a project for 8th grade technology.
the objective is to stop an egg from braking upon impact. I have a list
of what i can use and the budget i can spend.
here is the Q: if i put paper towels folded up tightly around the egg,
(not wrapped around it but just to keep it snug while laying down on
the wood base) will this be enough to support the egg from cracking on
impact? (30 degree angle from top of room to bottom) or should i have
it so the egg hits one layer of paper towels and slides into another?
ANSWER:
It sounds like your idea is
doomed to failure, particularly when you stipulate that your paper
towel will be wrapped tightly. I will not tell you how to do it but
will give you the general physical principal to think about. Suppose
that you jump off the roof of your house and land on a cement driveway.
It hurts a lot. The reason is that the driveway exerts a force up on
you and that force is big. The reason it is big is because you stop
very quickly and the force is inversely proportional to how long it
takes you to stop, that is the force necessary to stop you in 1/10
second is ten times bigger than the force necessary to stop you in 1
second. So the trick is to make the stopping last as long as possible.
So, if you put a big thick foam pad in the driveway you will not get
hurt because the time to stop you becomes much longer. Your tightly
wrapped egg will stop quickly and probably break.
QUESTION:
What is the phase difference between applied and
induced emf in an inductor ? If it is 180 then why don't they cancel
each other
ANSWER:
Almost by definition, the
phase in a perfect inductor (zero resistance) is 1800. They
do not cancel because they are not of the same magnitude.
QUESTION:
Am considering a formula for the "stop height" of
a self rising object say a balloon, am of notion that a self rising
balloon wouldn't do that for ever, i want to know what formula would be
used to calculate the stop height given considerable parameters.
Similarly, the formula for "stop depth" of a self sinking object in an
ocean bed of water, am still of the notion that it stops sinking at a
depth far down.
ANSWER:
I assume you are talking
about a rigid object, something which does not change volume. Very high
altitude balloons get much larger as they rise and this would be too
complicated to answer without more information about the material from
which they were made and other details of their design. For a rigid
balloon of volume V and mass M the average density would be ρ=M/V.
As you go higher in altitude, the density of the air gets smaller. When
the density of the air becomes equal to ρ, the balloon
stops rising. Because water is essentially incompressible, the density
of the water does not change as you go deeper and therefore there would
be no depth at which a sinking object would stop sinking.
QUESTION:
How can I calculate the volume of air which would
have to be introduced into the vacuum created at the trailing end of a
cube moving through air in order to mitigate the turbulance? For
example, a motor home travelling down the highway displaces the air in
front and at the rear airnaturally wants to fill the vaccuum as quickly
as possible. I want to assist that process.
ANSWER:
There is not a vacuum
there, but likely a bubble of still (with respect to the RV) air. This
bubble probably helps the vehicle be more aerodynamic. Here is an
interesting ancecdote about a related issue: Several years ago the Car
Talk guys were asked for their opinon of those nets sold to replace the
tailgate in pickup trucks to reduce drag. They said they thought it was
a great idea. The following week they issued a retraction; an engineer
from GM had called them to say that the tailgate is an essential part
of the design and causes there to be like a "box of still air" like an
extension of the roof of the cab which facilitates flow of air over the
truck. Removing the tailgate actually increases drag.
QUESTION:
This question is regarding kinetic energy Lets
say a man whose weight is hypothetically "1kg " travels down an airport
travellator.
The moment he steps onto the travellator, he accelerates from rest to
3m/s. Thus, to the observer X standing outside the travellator, his
kinetic energy is 4.5 J On the travellator, he walks at an additional 2
m/s to the other end.Thus, to the observer Y on the travellator, he
gains an additional 2 J.Since the kinetic energy of a stationary person
on the travellator is 4.5J, the observer Y reasons that the man's total
kinetic energy is 4.5J+2J = 6.5J However, Observer X sees the man's
velocity is now at 5 m/s, thus, his kinetic energy should be 12.5J.
ANSWER:
Kinetic energy is not an
invariant quantity. Different observers (as you have clearly found) do
not observe the same kinetic energy of something. Nor do they measure
the same speed. They do all measure the same acceleration, however.
QUESTION:
I'd like to understand the concept of "north".
How is "north" determined? Can it be determined without reference to
some other position or circular reference (i.e. "north is the opposite
of south, north is the "top", north's magnetic field points "downwards"
- what is "down"). Is the definition of north Earth-centric, our solar
system-centric, and will it work in other solar systems, including
those that have more than one sun?
ANSWER:
It sounds like you are
interested in geographic north as opposed to magnetic north. The earth
rotates on its axis which is a line passing through the center of the
earth. If you look at earth from one direction along the line of this
axis, it goes clockwise; if you look from the other direction, it goes
counterclockwise. Choose the case where it is going counterclockwise;
the place where the axis pierces the earth is called the north pole.
North is the direction along the surface of the earth pointing to that
pole. Clearly, this refers to what north means on earth. A similar
definition could be used for any body having a rotation about some
axis. If viewed from far in space above the north pole of earth, nearly
everything in our solar system has counterclockwise rotation (including
the orbits of the planets).
If you are interested in the
magnetic north pole, it is a little confusing. A bar magnet has a
magnetic field (which it is too involved to talk about in detail here)
which points out of the north pole and into the south pole of that
magnet. The earth is also observed to have a magnetic field which looks
like a giant bar magnet. Magnetic north is defined as the direction to
which the north pole of a magnet points. However, north poles are
attracted to south poles and repelled from north poles and so the
magnetic north pole of the earth is actually a south pole. The magnetic
and geographic north poles are not exactly at the same place on earth.
QUESTION:
Hello, my question is about the photo-electric
effect which was used as an early example of the particle nature of
light/photons:
The particle analogy is that the photon is like a billiard ball
colliding with another, the electron, and knocking it loose. The photon
has to contain enough energy to knock it loose. Even if you knocked it
with a large number of photons of less energy (frequency), it won't
work. In other words increased intensity of light will not work, as one
might expect from the classical wave nature of light. I like this
visualization to explain the particle nature of light.
But what prevents a large number of low energy photons knocking into
the electron at the same time, in other words why do we assume just one
photon can try to knock out one electron?
ANSWER:
Essentially, probability
prevents it. With sufficiently high intensity it is possible for two or
more photons to participate in ionizing an atom. Until the advent of
high intensity lasers, sufficiently high intensities were not available
to have any observable multiphoton ionization of atoms.
QUESTION:
Why is a body which falls freely in a weightless
state???????
ANSWER:
It is not in a "weightless
state". Its weight is still there since weight is just the force the
earth exerts on the body and it does not disappear just because the
body is falling. However, if you are falling along side the body it
appears to be weightless. For example, if you are in a falling elevator
you would feel weightless because you would no longer feel the floor
pushing up on your feet, your muscles would no longer have to support
your internal organs, etc. The same thing applies to a craft
orbiting the earth which is just in a special kind of free fall.
Weightlessness is a misnomer for these situations.
QUESTION:
You mentioned the principle of equivalence in an
earlier answer. Let's explore that principle this way:
For the first case, assume you are in a room that has the necessary
supplies to keep you alive for a long time. Now, assume that the room
is on the earth – you could stay in that room for many years.
Now, for the second case, assume that the room is being accelerated at
9.8 m/s away from a gravitational field. According to the principle of
equivalence, you wouldn't know the difference between the two cases.
However, if you are in the accelerating room for many years, you would
eventually be going very fast. Disregarding relativistic effects
(which, of course, cannot be ignored, but I'm doing so to make my
point), after about a year at this acceleration, your speed would be
approaching light speed.
So, my question is, would you continue to feel the same effects as you
would in a stationery room in a gravitational field, no matter how long
you were in the accelerating room? Or, would the fact that you were
approaching light speed have other relativistic effects which would
make your experience different than if you were in the stationery room?
ANSWER:
As you point out, constant
acceleration is problematic in special relativity. In fact, from a
stationary observer's point of view it becomes impossible at higher
speeds (see earlier
answer). In the frame of the accelerating room, though, no
relativity need be taken into account because everything seems normal
here. You simply need to redefine acceleration in relativity to
maintain the constant apparant gravity. See a nice essay by
Baez; the constant acceleration is that measured by an inertial
frame moving with your speed at a particular instant. To read several
of my earlier answers relevant to your question, see the FAQ entry.
QUESTION:
The magnetic force acting on a charged particle
can never do work, because at every instant the force is perpendicular
to the velocity. The torque exerted by a magnetic field can do work on
a current loop when the loop rotates. Could you please explain how
these seemingly contradictory statements can be reconciled?
ANSWER:
If you put a current
carrying wire in a magnetic field, it will have a force exerted on it,
right? So we do not need to get into torque doing work but can just
talk about a current carrying wire which we can use a magnetic field to
move (do work on) a wire. But here is what is really happening: the
magnetic force on the electrons moving in the current causes them to
migrate toward the edge of the wire. So there will be an electric
polarization of the wire (called the Hall effect) and there will be an
electric field inside the wire itself and this field will point towards
the region of excess electrons. This electric field pulls the
positively charged ions in the wire toward the excess electrons and it
is this electric field which does the work.
QUESTION:
Is there any particular object or system which
doesn't abide by Newton's first law of motion?
ANSWER:
Newton's first law (N1),
often called the law of inertia, is often used to define what is called
an inertial frame of reference (IFOR). An IFOR is one in which N1 is
true. So, suppose we can find a frame of reference in which N1 is true.
Any other system which moves with constant velocity with respect to
this one is also an IFOR. But, any frame which accelerates relative to
the IFOR is not an IFOR and N1 will not be true. For example, if you
are at rest in your car it is an IFOR and if you are moving down a
straight road with constant speed it is an IFOR. But if you are are at
rest and press the accelerator you feel like there is a force pushing
you back in your seat but there is no such force; you just feel the
seat pushing forward on you since it is the force which accelerates
you. But, in your frame of reference, inside the car, you are at rest
but there is one unbalanced force pushing you forward; N1 is not true.
QUESTION:
If earth is escavated along its diameter (on any
where) and an object is dropped in to it, what will happen?
I thought that the object should stop at the centre of the earth, but i
read somewhere that it will come back to the top in 85 minutes.
If it is so, please tell me why and how?
ANSWER:
If you neglect air
friction, it oscilates back in forth to the other side of the earth
with a period about what you state. It will actually be going the
fastest when you get to the center. To see a full discussion in several
answers, link
here. (You could have found this question on the FAQ page.)
QUESTION:
When all the oil is used as fuel and burned off,
will the Earth be lighter? And if so will there be consequences of a
lighter Earth and no oil underground?
ANSWER:
Burning is chemistry and
one of the tenets of chemistry is that the mass before (oil) equals the
mass afterwards (CO, CO2, etc.).
QUESTION:
our senses tell us that a table is solid but
science tells that a table is made mainly of empty space.how can these
two views be reconciled?
ANSWER:
Please see an earlier answer.
QUESTION:
If you were to inflate one soccerball with air,
and another with helium to the same presure, and hit them with exactly
the same amount of forse, in an enclosed soccer field (so tempeture,
weather, and air resistance will be the same with both balls) witch
would travel further?
ANSWER:
It is not sufficient to
specify equal forces, you must also specify that the force acts either
over the same distance for both (equal work done) or over the same time
interval for each (equal impulse). In either case, the lighter ball
gains more speed and thus goes further. Helium.
QUESTION:
Since perpetual motion machines are considered
impossible because they defy the laws of physics, where does the
electron get it's energy to move around within an atom. Is an atom not
a perpetual motion machine?
ANSWER:
A machine is generally
regarded as something which has energy output, can do work. An atom
does not meet this criterion. Further, you should not think of an atom
as an electron going around in a circular orbit; this is vastly
oversimplified. The electron should be viewed as a cloud whose density
at any point determines the probability of finding the electron there
at some time. In fact, if the hydrogen atom is correctly done quantum
mechanically, the average velocity of the electron is zero.
QUESTION:
It is easier to catch a soft tennis ball than
hard cricket ball moving with same velocity.why?
ANSWER:
The force you exert on a
ball to stop it is equal to the mass of the ball times its
acceleration. This is Newton's second law. A cricket ball has a larger
mass than a tennis ball, so for equal accelerations it would be harder
to stop. But the acceleration is important also. The tennis ball, being
softer, compresses while being stopped and so the time to stop it is
larger than for the hard cricket ball, thereby having a smaller
acceleration, therefore needing a smaller force.
QUESTION:
My question relates to how objects with differing
mass (and thus, different gravity strength) affect each other when they
are all simulatenously in each other's gravitational fields?
My hypothetical example is as follows: You have an object with
relatively small mass, a marble; an object with relatively larger mass,
a bowling ball; and then an extremely massive object, like a planet.
What happens if the marble and the bowling ball were both equidistant
from the planet and also a measurable distance from each other? As the
two objects "fell" towards the planet's stronger gravity, would they
also be slightly attracted towards each other on the way "down"? Would
the initial distance between the two objects gradually decrease, and if
so, would the marble move a greater distance towards the bowling ball
than the bowling ball would move towards the marble, due to the bowling
ball's stronger gravity? Or does the presence of a superior gravity
simply override any attraction between smaller objects?
ANSWER:
Any object with mass both
causes and feels gravity. In your example, the earth feels a
gravitational force from both the marble and the bowling ball, the
bowling ball feels a force from both the earth and the marble, and the
marble feels a force from both the earth and the bowling ball. However,
the mass of the earth is so big that you would be hard pressed to
observe any acceleration other than that toward the center of the
earth. If you (roughly) work out what the accelerations are, you get:
- Bowling ball and marble each
have a component of their acceleration toward the center of the earth
of about 10 m/s2.
- Bowling ball has a component
of its acceleration toward the marble of about 10-13 m/s2.
- marble has a component of its
acceleration toward the bowling ball of about 10-10 m/s2.
I assumed the marble and bowling
ball were about 1 m apart.
QUESTION:
What is the difference between saying "the sun
revolves around the earth" and saying "the earth is the center of the
universe"?
ANSWER:
Well, of course they are
both wrong so they have that in common. Saying that the sun revolves
around the earth simply says nothing about the rest of the universe.
Maybe the sun goes around the earth but the earth goes around
the center of the milky way galaxy and the rest of the universe is
going around the Andromeda galaxy; in this scenario the sun goes around
the earth but the earth is not the center of the universe, the
Andromena galaxy is. Why did I spend time on this?!
 QUESTION:
Consider a baseball pitched with a spin
around the vertical axis. To be precise, let the ball’s initial
direction be Northward and the direction of its spin be clockwise when
observed from above.
Because of aerodynamic effects, the spinning ball will...
ANSWER:
...be deflected east. The
general idea is shown in the figure to the right. The wake is deflected
down in the picture for the ball moving to the right. The reason for
the force is essentially Newton's third law. If the air is being
deflected down, the ball must be exerting a force on it; if the ball
exerts a force on the air, the air must exert an equal and opposite
force on the ball. This force is called the Magnus force. There are
also Bernoulli forces because the air goes faster over the top than the
bottom and therefore there is lower pressure at the top, but I believe
that this is much less important than the Magnus force (although most
elementary physics texts say that this is the reason for the curve
ball). (To apply this picture to your specifics, imagine you are
looking from below and north is to the right; then east will be in the
direction of the force.)
QUESTION:
I have two very similar bikes, both almost
perfectly balanced front to rear (with and without rider) with very
similar geometry and parts, and one of them oversteers slightly, but
for the life of me I can't figure out why the other one understeers,
causing the front tire to wash out dangerously. The only way I can get
the misbehaving bike to break traction more evenly is to hang my weight
way over the back of the bike, but this is of course impractical and
seems like a huge change considering how similar the bikes are. What
makes a bike over/understeer and what can I do to the rebellious bike
to make it safe to ride on fast trails (short of reducing rear tire and
therefore overall traction)?
Thanks in advance for significantly reducing my REM sleep (and
likelihood of breaking a wrist/collarbone)!
ANSWER:
There is no way that I
could figure this out; there are two many variables. Perhaps you can
read up a bit on bicycle
stability and apply it to your particular situation.
QUESTION:
If we were to build a giant rail ultimately
pointed skywards, we would be able to give the space shuttle a certain
speed before it even ignited its rockets. This obtained speed would
mean less rocket fuel would be necessary to achieve escape velocity.
This reduction of mass would mean less required energy overall.
Assuming that the apparatus used to speed up the shuttle has less mass
then the saved fuel (a very bold and baseless assumption, no doubt), is
there a physical explanation as to why we don't use this model?
ANSWER:
The total amount of energy
necessary to put a particular payload in a particular orbit does not
depend on where you get the energy. I guess you want to use some other
device or method to get the shuttle moving along your rail, but that
will take just as much energy as the way we do it now. And, such a
"rail" would be pretty expensive to build, probably.
QUESTION:
To travel in a circle at a constant angular
velocity a body must be constantly accelerated. Yet its angular
velocity and hence its kenetic energy does not increase. Where does the
energy go?
ANSWER:
You actually told me the
answer. If the energy does not change, it does not "go" anywhere. It is
an example of energy conservation where, if no external forces do
work on something, its energy remains constant. There is an
external force here (whatever is keeping it moving in a circle, tension
in a string, friction of tires for a car, etc.) but this force
(called the centripetal force) always points toward the center of the
circle. Since the particle always moves tangentially on the circle, the
force and motion are perpendicular and no work is done. So, here is an
important lesson: even if there are forces acting on something they do
not necessarily change its energy.
QUESTION:
A man on a skateboard is said to be travelling at
constant motion until he hits a rock, his velocity goes from 12m/s to
2m/s what is the force that he hits the rock with? How do you work this
question out?
ANSWER:
This sounds suspiciously
like homework, but it can't be because you cannot find the answer. In
order to calculate force you need to know the acceleration and you
cannot calculate acceleration from the change in velocity; you need to
know the elapsed time. If this took 1/10 of a second the force would be
much bigger than if it took 10 seconds. Furthermore, to calculate the
force you need the mass of the thing which is accelerating (you would
probably want the mass of the skateboard + the man. If this was
homework, your instructor played a nasty trick on you.
QUESTION:
If a solid metal pole were made to be one
lightyear long and it was pulled at one end, would it take over a year
to feel the tug at the other end, or would the fact that it is a solid
object cause the tug to be felt instantaneously at the other end?
ANSWER:
You could have found this
answer on the FAQ page. The answer is here.
QUESTION:
Suppose a ship is moving at 3/4 the speed of
light. If an object aboard the ship were to be launched forward at 1/2
the speed of light relative to the ship, then would the object be
moving faster than the speed of light or would the object for some
reason never reach the speed of light?
ANSWER:
I have previously answered this
question. The object, for your scenerario, would have a speed of about
91% the speed of light.
QUESTION:
Is it possible to create artificial gravity? I
know we have yet to figure out why we have gravity to begin with but if
we get that answered it would seem logical that the next step would be
to create it on our own. Also in your expertise, would you have any
insight on how artificial gravity could potentially be utilized?
Possibly for space travel?
ANSWER:
What do you mean that you "know we have yet to
figure out why we have gravity"? If you mean we do not understand
gravity, you are wrong; we have a very good theory of gravity called
general relativity. One of the things that general relativity says is
that there is really no difference between gravity and acceleration.
For example, if you are in an elevator in empty space with an
acceleration equal to the acceleration due to gravity, there is no
experiment you can do which will have a different result from if you
were sitting on earth. This is called the principle of equivalence. So
one way to make "artificial gravity" is to simply be in an accelerating
spaceship. However, it is not really practicable to have a spaceship
always accelerating in a straight line because you would have to be
continually burning fuel. On the other hand, something going in a
circle is constantly accelerating so if you make a giant donut-shaped
craft which is rotating, you could stand on the inside of the outer
wall and have "artificial gravity". The acceleration depends on the
radius of the circle, though, so it would have to be very large or else
the gravity at your head would be much different from the gravity at
your feet. Certainly if we ever have long distance space travel, a
craft of this sort will be needed for a tolerable environment. I have
little hope for space travel becoming a reality unless a colony of
people is ok with leaving and never coming back. The distances are
unimaginably big and very large speeds are difficult to achieve in
reasonable times without crushing everybody on board. And, at very
large speeds there would be a big problem with radiation shielding.
FOLLOWUP
QUESTION:
I suppose I should have been more specific on my question.
You were wondering what I meant by "When we figure out gravity". I was
actually referring to what causes gravity and not so much how it works.
I know we have a good understanding of it's mechanics but as to why
there is gravity in the first place was my real question. To my
knowledge we still dont know why gravity exists but I could be speaking
out of ignorance.
ANSWER:
We do understand
how it works. Mass bends spacetime and gravity is the result. The often
used (instructive if not an exactly a true picture) is a bowling ball
sitting on a trampoline; a marble will then roll toward it because it
deforms the space it is in. General relativity is discussed in several previous answers.
Although an extremely successful theory of gravity, it is probably not
the last word because there is no quantum theory of gravity.
QUESTION:
There is frequent mention in various publications
that states that a spaceman's clock would run slower than that of an
observer on earth.
However, from the spaceman's perspective (assuming he was not
accelerating) he would apparantly be at rest and whilst the earth was
receding. This being the case, the earthbound clock would be running
slower than his. The net result seems to be that when he eventually
returns to earth, he will be the same age as his twin brother and not
younger as is often suggested. Or am I missing something?
ANSWER:
What you are referring to
is the twin paradox which is not really a paradox at all. The key to
understanding is understanding the asymmetry between the two such that
they can come back together to compare their clocks. See my earlier
discussion of the twin paradox.
QUESTION:
Apollo 13 the movie. 'We just put Isaac Newton in
the driver's seat'. could you please justify this statement made by Jim
Lovell
ANSWER:
When you go for a drive in
your car, you burn fuel the whole way. In space travel, you coast most
of the way. But in space, there is often very influential gravity you
can use to pull you, push you, or steer you. I do not know the exact
context of your quote, but Apollo 13 used gravity to swing it around
the moon and then gravity to pull it back to earth and some stage of
this is what is referred to by the quote because Isaac Newton is
considered the first physicist to appreciate what gravity is.
QUESTION:
Isn't space exploration a terrible waste of
taxpayer dollars?
ANSWER:
I have a stock
answer to this "waste of money" question which I have written
earlier in reference to the CERN supercollider.
QUESTION:
I want to be able to convince my father without a
doubt that there is a valid way of finding the distance between earth
and very distant stars or nebula. If you could explain in detail or
perhaps in plain english, I would appreciate it. The next question is
somewhat more complex. I was wondering if there was a rate at which
gravity attracts. For instance, if the moon were to disappear suddenly.
How long would it take the earth to be affected by the lack of the
moons gravity? Instant? A a day? A minute? Would it be faster then
light? Is that even possible?
ANSWER:
Please adhere to site
grounrules for single, well-focused questions. I have previously
answered your second question. Regarding your first question, there
are three ways to measure the distance to the stars.
- The first is parallax; this
method works for fairly close stars (a few thousand light years). Hold
your finger in front of your face and move your head back and forth.
Your finger appears to move back and forth against the distant
background. This is parallax and by doing careful measurements you
could deduce the distance from your finger to your eyes. If you observe
a star not too far away at two different times of year when the earth
is at opposite ends of its orbit, it will appear to move against the
background of much more distant stars.
- The second is to use stars of
known brightness and measure their apparent brightness. If a light bulb
has a known brightness and you measure its light reaching you, you can
deduce its distance. The bulb, for example, when viewed from one mile
away will be four times as bright then when viewed from two miles away.
- Finally, you can use red
shift of light from the most distant objects. It is known that the
farther something is away from us, the faster it is moving away. The
principle is the doppler effect where the wavelength of waves (light in
the case of stars) is longer. The every day example of this is a train
whistle having a higher pitch when moving toward you and lower when
moving away.
You can read about this in more
detail here.
QUESTION:
What's the physics behind ballpoint pen?
ANSWER:
Check out HowStuffWorks.
QUESTION:
Based on the general fear that is going around
about the world ending in 2012.... Is it really the end of time are we
all going to die on 12/2012?
ANSWER:
Well, do you believe in
astrology? I recommend, for a good balanced view of the evidence, a
recent
New York Times article.
QUESTION:
If you are trying to calculate the rate at which
atoms of a particular fission product are being produced. Are you
looking for the activity of the fission product or the number of
fissions per second?
ANSWER:
The overall fission rate would not give information about any
particular fission product.
QUESTION:
If electromagnetic energy in the form of visible
light spectrum (photons) travels from the sun to the earth at the speed
of light, it wouldn't have any mass? (i.e., photons are massless,
therefore have no energy?, E=mc^2, m=0, then E=0.
If a photon doesn't have any mass and therefore energy to begin with,
how has the conservation of energy principle upheld? I ask this because
clearly electromagnetic energy from photons of visible light are
converted into chemical energy in plants thru photosynthesis so it
would seem that photons do indeed have energy and therefore mass. But
if they have mass, how can they travel at the speed of light?
ANSWER:
I have answered
this question before.
QUESTION:
A magnetic field can be created with a varying
electric field. Hence, an electric field can be created with a varying
magnetic field. In a betatron, where an electron is accelerated, the
electric field remains constant while the magnetic field varies. Since,
the electron is a charged particle, in motion, how does the electric
field remain constant while the magnetic field fluctuates??
ANSWER:
Imagine a donut with a magnetic field passing through the hole. If the
magnetic field is increasing there will be an electric field around the
inside of the donut and it is this which exerts the force on the
electron to accelerate it. If the magnetic field increases at a
constant rate, the electric field will remain constant. If you are
worrying about the electric field due to the electron itself, don't—a particle cannot exert a force on
itself.
QUESTION:
What happens to water molecules when water is
heated from 90 degrees Celsius to 110 degrees Celcius?
ANSWER:
The same thing that would happen to any molecules—their average kinetic energy increases
(they move around, on average, faster). Because you have specified
particular temperatures it has a little more to it. If water is at 100 0C
the molecules have acquired sufficient speed to escape from the liquid
and become gas (boiling) and only molecules which escape the liquid can
have temperatures above 100 0C.
QUESTION:
Is there is a principle or theory that you cannot
study an atom without changing the structure of said atom? And if there
is, can you please tell me what that is?
ANSWER:
Maybe you are referring to the Heisenberg uncertainty principle, one
incarnation of which can be that the act of measuring something
disturbs that something. On the other hand, the "structure of an atom"
refers to all its properties and, although you might change an atom
from one state to another when studying it, you do not change the
atom's essential properties; I would say you reveal those properties.
QUESTION:
I know that materials are more likely to fail
when energy is delivered over a short period of time for a given total
energy load. Similary if an oil drum is pushed along by a bus at .5
miles per hour for several miles it is less likely to fail structuraly
then if the bus hits the drum doing 75 miles per hour--even if the
total energy displacement is less. Is there a simple characterization
or formula to express this? Is there a general rule that applies to all
materials. I have asked a shock physicists this question and could not
get a straight answer.
ANSWER:
This is Newton's second and third law. There are a couple of problems
with your example, one is the bus going with constant speed pushing the
drum. If the drum slides smoothly or is on wheels, say, it will
experience practically no force from the bus. Also, "total
energy displacement" has no meaning in physics. Permit me to rephrase
your question: Suppose I drop a hammer from 1 cm above your hand
resting on the table; it doesn't hurt much. Suppose I slam the hammer
down on your hand as hard as I can; it hurts a lot. Why? When the
hammer hits your hand, it stops and so it experiences an acceleration.
In order to stop the moving hammer, a force must be exerted on it and
it is your hand which exerts this force. This is where Newton's second
law comes in; the force F is given by F=ma where m
is the mass of the hammer and a is the acceleration of the
hammer. So, since the acceleration (the rate of change of speed) is
much bigger for the fast hammer than the slow hammer, your hand must
exert a much larger force on the fast hammer to stop it. Now, finally,
this is where Newton's third law comes in; if your hand exerts a force
up on the hammer, the hammer exerts an equal force down on your hand. I
see on rereading your question that I have not quite yet answered it
completely because I have assumed that your hand stopped the hammer in
about the same amount of time for each blow because your hand was on
the table. If your hand is not on the table and you are able to stop
the fast hammer over some several feet, the acceleration is much
smaller because the velocity change is over a much larger time; smaller
acceleration again means smaller force.
QUESTION:
An object on Earth accelerates at 9.8 m/s2. The
object does this until it reaches "Terminal Velocity" which is when the
object can accelerate no more because of the fluid friction with the
air. If you put this object in a infinite complete vacuum with the
gravity puling from one end. Will the vacuum make reaching Terminal
Velocity impossible meaning that the object could reach the speed of
light and beyond?
ANSWER:
Terminal velocity normally refers to the maximum speed of an object
moving through a fluid like air. It can also mean the minimum speed if
you start the projectile with a speed greater than the terminal
velocity. If there is no fluid, then it will continue accelerating
forever as long as the same force (its weight) acts on it. It cannot,
however, exceed the speed of light, so you could say that its terminal
velocity now is the speed of light. You may be interested in more
details regarding acceleration in special relativity in an earlier
answer.
QUESTION:
I have a question about faster than light
communication. If a string spanned a great distance through space and
it were tugged on one end, wouldn't the other end move at the same time
allowing for data to be transfered, perhaps through morse code? I
believe this would require an extremely dense string that wouldn't
expand, but is is possible?
ANSWER:
Your question has been asked before, so see an earlier answer. Your question
is a little different since you are pulling instead of pushing, but the
answer is essentially the same: no communication faster than the speed
of light is possible and, for your proposal, it would be far smaller
than the speed of light because the stretch in the string which would
propogate the information about your tug would travel at the speed of
sound.
QUESTION:
1.What is the physical process of the conversion
of mass into energy?
2.Is there a physical process by which energy can be transformed into
mass?
ANSWER:
Your question is like "how can we convert an orange into fruit?" Mass
is simply a form of energy. Can mass disappear and become another form
of energy? Yes, it happens all the time. When you burn coal you are
essentially turning carbon and oxygen into carbon dioxide; where does
the heat energy come from? CO2 is slightly lighter than C+O2.
The amount is so small that you could not hope to measure it. However,
in nuclear physics it is easy to measure the mass difference: a nucleus
with Z protons and N neutrons has a mass significantly less than the
sum of the individual masses. For examples of converting non-mass
energy to mass, see an earlier answer.
QUESTION:
How magnet(magnetic field) acts on the PC
monitor.What happends?
ANSWER:
I do not know if there is any effect on the modern LCD or LED screens.
The older CRT screens are illuminated by an electron beam which sweeps
across the screen. A magnet will deflect this beam. However, there is a
thin screen with many tiny holes in it to assure that the electrons hit
exactly on the spots intended. The metal of which this is fabricated
can become magnetized if you hold a magnet near it and then this
magnetic field will alter the path of the electron beam thereby messing
up the picture. It is usually possible to demagnetize the screen with
something called a degausser.
QUESTION:
If there is no friction between two objects, and
lets say object A is on top of object B and object B accelerates, will
object A fall off and move to left? (assuming velocity is moving to the
right in the X direction)
ANSWER:
If there is no friction, the block will not move at all and will drop
straight to the table where it will remain at rest.
QUESTION:
what exactly makes CO2 a greenhouse gas? As a
'blanket' there's no convection to outer space. Does it allow solar
radiation in, but not allow earth's radiation out?
ANSWER:
To get a greenhouse effect, you need something which is transparent to
visible light but absorbs infrared. Most objects (like the ground)
absorb visible light and radiate infrared, so if there is an absorber
of infrared blanketing the earth, that energy is trapped. CO2
is transparent to visible light and absorbs infrared.
QUESTION:
Glow-in-the-dark, Radium painted, watch dials
were popular in the 40's and 50's (until Radium use was discontinued).
Today, sum fifty years later, these watch dials no longer glow, even if
most of the original "paint" remains.
My question is; if one were to move one of these old watch dials, close
to an energetically active radiation source, such as a medial isotope
or Uranium 235, would the watch dial glow again? -at least while it
remained close to the radioactive material?
I know X-rays are different than beta emitters, but would the old paint
glow if you wore the watch while getting an X-ray?
ANSWER:
The phosphor is zinc sulfide. Its efficiency as a phosphor is
complicated and is dependent on the impurities present. A little
research on my part reveals that the reason that the dials no longer
glow is not because the radium has decayed away (it has very long
halflife), but rather because the alpha radiation had done sufficient
damage to the crystal that the excited conduction electrons cannot
efficiently get transported to the impurity sites. Therefore, nothing
would make it glow; however, a "virgin" radioluminescent dial but
without the radium could be made to glow with any external beta, x-ray
or γ-ray source of
sufficient energy. The definitive article on this seems to be
here.
QUESTION:
If a 400 lb man falls 3 feet to the ground and
lands on one foot, How much force did the foot recive when it inpacted
the ground.
ANSWER:
There is no way to answer this question because it depends on how long
it takes the man to come to rest. Of course, that is why you should let
your knees bend when you land, to lengthen the time of impact. Or, if
you landed on a pile of foam there would be much less force than if you
landed on a concrete floor.
QUESTION:
Concerning newtons third law. Please explain
which is receiving the reaction when a person is jumping on a
trampoline. Is the spring the object receiving the opposite reaction or
is it the trampoline fabric?
ANSWER:
Look at the person when he is in contact with the fabric: the forces on
her are her own weight down and the force of the fabric up. No force on
her from the springs because she is not in contact with the springs.
Newton's third law says that if the fabric exerts a force up on her,
she exerts an equal and opposite force down on the fabric.
QUESTION:
If a fish tank containing only water weighs 50
pounds byt itself. You add a 5 pound fish, who swims around, but never
touches the bottom. Does the fish tank increase in weight by 5 pounds?
ANSWER:
As I always say, you have to be really careful how you ask this kind of
question. The weight of something is the force that the earth exerts on
it and, the way you have asked the question, you can put a ten ton
truck in the fish tank (assuming it would fit) and the tank would still
have the same weight. But, what you are probably asking is: if the tank
is sitting on a scale, will the scale still read 50 lb after I put in
the 5 lb fish? No, it will not, it will read 55 lb. If you are worried
that the fish is not resting on the bottom and should therefore not
cause the scale to deflect, here is the appropriate argument. The fish
is hovering and something must be holding him up—the water, of course. Therefore, the
water exerts a 5 lb force up on the fish. But, Newton's third law tells
us that the fish must therefore exert a 5 lb force down on the water.
So the water pushes down on the bottom of the tank and therefore on the
scale by 5 lb more than it normally would.
QUESTION:
In my Science exam on Friday I was given a
question that I was unsure about the answer to. I was hoping you would
be able to assist me. The question was that if there was a balloon in a
box with a needle attached to the top & another needle attached to
the bottom, the balloon being secured with an elastic band what would
happen if it was dropped from a heigh of 10m. Options were that it
would be popped by top needle, bottom needle, or neither needle.
I answered top needle based on Newton's law in relation to when a car
accelerates fast after being at rest passengers are momentarily pushed
forward but then pulled back into the seat, I figured the same would
apply here. The balloon (when the box was dropped would fall towards
the bottom needle but then due to the elastic band be pulled back up
towards the top needle and popped. Can you advise me if this is right?
ANSWER:
You are right. The balloon must accelerate down and the only thing able
to provide the required force are the rubber bands. But, for the rubber
bands to have a component of their tension down, the balloon must move
up (in the box).
CORRECTION:
I made an error in my answer. First of all, I had the wrong picture,
namely I thought that there were two rubberbands stretched out to the
walls of the box. But, more importantly, I failed to note the principle
of equivalence which states that there is no experiment you can do to
distinguish between being in an accelerating frame of reference or in a
uniform gravitational field. In other words, as seen from inside the
falling box, gravity can be ignored. As seen from outside the box, the
balloon accelerates down because of its weight not as I said above "the
only thing able to provide the required force are the rubber bands".
Now, to answer the question correctly. The question is ambiguous about
the elastic band and this is a problem. There are two possibilities:
this is an air balloon and would drop to the floor if not secured by an
elastic band to the ceiling; or this is a helium balloon which would
rise to the ceiling if not secured to the floor by an elastic band. In
either case, the elastic band will stretched before the box is dropped.
When the box is dropped, gravity "disappears" for the balloon and it is
pulled down if the band is attached to the floor or pulled up if it is
attached to the ceiling. My thanks to the person in Portugal who
spotted my error.
QUESTION:
Why is it compulsory to make a photo diode
reverse biased?
ANSWER:
It is not compulsory, it just works better that way. The photocurrent
flows in the reverse direction and having a forward bias would have
there be a steady current flowing in the direction opposite the
photocurrent. Having a reverse bias greatly improves both response time
and signal to noise ratio. See the Wikepedia article.
QUESTION:
Is there a saturation point for
energy(temperature gained by a body)??
ANSWER:
I really do not know what you mean by "saturation point
for energy". If you mean is there a limit to how much energy you can
add to something, then the answer is no. If you mean is there a limit
to how much energy you can add to something without it "changing it",
then the answer is yes. If you have a block of iron, you can keep
adding energy until it melts; then keep adding energy until it
vaporizes; then keep adding energy until it ionizes; etc. So,
there are limits before phase changes occur.
QUESTION:
If I was standing on Mars, would I be able to see
the same constellations I see on Earth?
ANSWER:
Yes. The distance from Earth to Mars is very small compared to the
distances to the stars and therefore there would be an insignificant
change.
QUESTION:
Where do radio waves end and light begin, if in
physics, the term light sometimes refers to electromagnetic radiation
of any wavelength, whether visible or not?In physics, if the term light
sometimes refers to electromagnetic radiation of any wavelength,
whether visible or not, would radio waves at very high frequencies be
light?
ANSWER:
This is really semantics, not physics. Light usually refers to the
visible part of the electromagnetic spectrum and sometimes also
ultraviolet and infrared. Radio waves are usually not called light, nor
are x-rays, gamma-rays, microwaves, etc. We often refer to the speed of
light as the speed of any electromagnetic wave since all travel with
the same speed in vacuum. There is no clear rule about where one type
of electromagnetic wave ends and another begins.
QUESTION:
My question regards finding the angular velocity.
If you are given the radius of a cylindrical spool and the time it
takes to pull something off it, how would you go about find the angular
velocity of the spool?
ANSWER:
The first question you sent was too specific and likely homework. This
is more general, so I will answer it. If you pull string off at a
constant rate, say X m/s, that means that X m of
circumference of the spool passes a point in a second. Therefore, the
tangential velocity of the spool is X. But, that means that the spool
has turned through an angle of X/R radians in one second or
has a rate of X/R radians/s which is the angular velocity.
QUESTION:
i am iraqi student....
i have a question about RESONANCE FREQUENCY i want to learn the
fundamental explain of it..i want to learn more about RESONANCE
FREQUENCY...
ANSWER:
Think of a physical system which wants to oscillate, vibrate. It has
what is called a "natural frequency". For example, a particular
pendulum will oscillate with a period of ten seconds. Now, suppose you
push on that system. If you push with a period which is far from the
natural frequency, the system will vibrate but only with a very small
amplitude. If you push on it with a period near the natural frequency,
it will vibrate with a large frequency. That is called resonance, the
fact that a force with period close to the natural frequency will have
a large response.
QUESTION:
Why is it when I look in a mirror, my left and
right sides are reversed, but I am not reversed upside-down? I was
reading a book, Odd Perceptions by Richard L. Gregory who writes that
that no one knows for sure. That was back in 1986. Is there an
explanation in the 21st century? Just curious.
ANSWER:
It is ridiculous to say that "no one knows for sure". Goes to show you—don't believe everything you read. Read
my earlier
answer.
QUESTION:
I often hear from prominent ecologists the
statement that "All (sometimes adjusted to MOST) energy on earth comes
from the sun." I do not believe this. Gravity produces energy when
something falls (hydroelectricity). The movement of tides does the
same. So, my question is, where does the energy on earth come from, and
how much can be attributed to the sun vs. other forms?
ANSWER:
Most cases of "energy from gravity" would be erroneous because in order
for something to fall it has to be raised up. So, hydroelectric energy
comes from water falling, but how did it get up there? The water
evaporated out of the sea (read sun) and then fell as rain in the
mountains. Your tidal example is one where the sun is not responsible
(although the sun does play a minor role in tides); the moon lifts the
water and then it falls. Also, geothermal energy comes from the ambient
heat in the earth. And, radioactivity and other nuclear energy comes
not from our sun but from some other star where the elements were
created (as did you). There is no quantitative way we can neatly
separate solar from nonsolar energy here on earth. I think that what is
most important is which forms of energy can we tap using current
technology. I would agree that, by that criterion, solar or
solar-orginated (like petro energy sources) are the pretty clear winner.
QUESTION:
If you had two positive point-charges, seperated
by a given distance, and you drew a graph of the potential on the line
between them, would the graph look like a squashed Gaussian curve, with
a maximum at the centre point?
ANSWER:
No, actually the potential would be minimized halfway between and would
look like a
"U" with
the potential rising at the charges.
QUESTION:
Why do you think Physics is such a difficult
course for some students?
ANSWER:
From my many years teaching, I can tell you that there is no single
reason. One important reason is that students entering a physics course
have often been poorly taught in mathematics and are unprepared for
applying mathematics to something real. I have often been astounded by
how college students can be unable to do even simple arithmetic.
Another thing, which is getting worse all the time as testing is
becoming the focus of so much primary and secondary education, is that
memorization of facts and equations is not the key to success in
physics; it sounds corny, but your physics teacher is trying to teach
you how to think, not how to do physics. Often the problem is a
deep-seated psychological aversion to things quantitative; how often
have you heard somebody say "I'm just not a math person"? Or, I get so
sick of going to a party and, when asked what I do, have a response
like "you must be sooooo smart".
QUESTION:
Often dreaming of black holes connecting to some
parallell uinverse was ok to reflect on however my daughter and I were
observing a graphic of a quasar and how there is a polar emmision of
energy. From what I understand we view black holes as a dense body
swallowing all in it's orbit without a trace assuming all matter
consumed goes somewhere or somewhen. My question is could the matter
consumed by a black hole be expelled at it's poles the same way as a
quasar in the form of dark energy thereby contributing to the expansion
of the universe?
ANSWER:
As I explain on the home page, I am not an astrophysicist. But I do
know that mass does not disappear when it goes into a black hole. As
the black hole captures mass it becomes more massive. Regarding your
question about whether a black hole might be a source of "dark energy",
I can only tell you that both dark energy and dark matter are things
which are not at all understood and your guess is as good as any, I
guess!
QUESTION:
In Einsteins Theiry of Relativity there is a part
that explains time dialation. If you were on a space craft going near
the speed of light could you mechanicaly adjust the clock on board the
craft to display the time on Earth?
ANSWER:
Sure, you could design such a machine but it wouldn't really be a
clock, would it? It is like asking if we could build a clock which
showed one hour passing during each 10 hours.
QUESTION:
How do we communicate with things like the hubble
telescope/ satellites/ the mars rover (e.g. is it with radio waves)? Is
this communication instantaneous? If the hubble telescope was really
far away (say, 1 light year), how long would it take to tell it what to
do/ receive an image from it?
ANSWER:
Communication is done with radio. It certainly is not instantaneous, no
communication is; the fastest speed of communication is the speed of
light. To get or receive any information from something one light year
away takes one year.
QUESTION:
Why are iron, nikkel or cobolt more likely to
magnetize as opposed to copper or aluminum?
ANSWER:
Every electron is like a tiny magnet. In most materials in nature, all
the electron magnets are pointing in random directions and the material
has only very weak magnetic properties. In a very few materials, called
ferromagnetic materials, the crystal structure of the material has a
tendency for the outer electrons in one atom to align themselves with
the electrons in neighboring atoms and so very large numbers of tiny
magnets all line up with each other and the whole thing looks like a
magnet. One additional subtlety is that a piece of iron may not be a
very strong magnet because the alignment happens over small regions
called domains (small like maybe grain-of-sand-small, not atom-small)
and the domains all have random orientations. But when you expose the
iron to a magnet, those aligned with the external magnet grow at the
expense of those not aligned, so the iron becomes magnetized and
attracted to the external magnet.
To see
questions and answers from longer ago, link
here.
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