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-- physics anyone?
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Posted by hiram on Jan-29-2008 19:46:

bringing this one backkk...

refresh my memory.. how does the theory go saying once you approach the speed of light any given object tends to expand therefore never fully reaching the speed of light?? this being the reason why particle accelerators can never reach the speed of light.


Posted by deejaymara on Jan-31-2008 03:37:

quote:
Originally posted by hiram
bringing this one backkk...

refresh my memory.. how does the theory go saying once you approach the speed of light any given object tends to expand therefore never fully reaching the speed of light?? this being the reason why particle accelerators can never reach the speed of light.


well, im not quite there yet (lord knows ill see plenty of it though)... but this reminds me of math where a function can get so extremely close to its asymptote at zero for example, but nevar actually touches it... 1/10, 1/100, 1/1000,... 1/1,000,000,000,000 etc.
yes i know, this doesnt quite answer ur question but i felt like saying it to make myself feel just a LITTLE bit smarter.


Posted by NeoPhono on Jan-31-2008 05:34:

quote:
Originally posted by hiram
bringing this one backkk...

refresh my memory.. how does the theory go saying once you approach the speed of light any given object tends to expand therefore never fully reaching the speed of light?? this being the reason why particle accelerators can never reach the speed of light.


I've think you might be throwing a little bit of black hole physics in there (or at least a reference frame "paradox"). To your question; as a non-zero mass object approaches the speed of light, both its mass and energy required to reach the speed of light become infinite. The closer you get to the speed of light, the more massive the object becomes and the more energy you need to go faster. Eventually you reach the point where the object is too massive and the energy required too extreme to accelerate the object any faster.

So even the particles in particle accelerators (which have mass) eventually require too much energy to be accelerated any faster.

...and no, E=mc^2 doesn't tell you how much energy would be needed to accelerate an object of mass "m" to the speed of light, but how much energy a mass "m" is equivalent to. (Not that you said that, but I've heard people try to say that before.)

Anyone on here to back me up?


Posted by Lebezniatnikov on Jan-31-2008 05:40:

That was a good response. A much simpler explanation than my AP Physics teacher was able to give back in the day.


Posted by Omega_M on Jan-31-2008 09:14:

quote:
Originally posted by NeoPhono
I've think you might be throwing a little bit of black hole physics in there (or at least a reference frame "paradox"). To your question; as a non-zero mass object approaches the speed of light, both its mass and energy required to reach the speed of light become infinite. The closer you get to the speed of light, the more massive the object becomes and the more energy you need to go faster. Eventually you reach the point where the object is too massive and the energy required too extreme to accelerate the object any faster.

So even the particles in particle accelerators (which have mass) eventually require too much energy to be accelerated any faster.

...and no, E=mc^2 doesn't tell you how much energy would be needed to accelerate an object of mass "m" to the speed of light, but how much energy a mass "m" is equivalent to. (Not that you said that, but I've heard people try to say that before.)

Anyone on here to back me up?


That's pretty much it I guess.

As a particle accelerates, its kinetic energy increases and because of the energy mass equivalence through E=mc^2, increase in energy => increase in mass and thus the particle becomes heavier. A heavier particle requires more external energy to accelerate it further which in turn adds more mass. This process if taken to its logical conclusion implies that a particle of infinite mass will need infinite energy to accelerate it to the speed of light, which is impossible. Hence particles with non-zero mass can never reach the speed of light.


Posted by Capitalizt on Jan-31-2008 09:42:

I still don't understand how the energy used to push something actually ADDS to the weight of that 'thing'...

How does kinetic energy = mass? When I expend energy in throwing a a baseball, does it gain weight as it flies through the air? Then lose weight when it hits the ground?

I also don't get the whole "expanding" idea as objects are accelerated towards light speed.. Does the length of the baseball also expand when thrown?


Posted by NeoPhono on Jan-31-2008 14:26:

quote:
Originally posted by Capitalizt
I still don't understand how the energy used to push something actually ADDS to the weight of that 'thing'...

How does kinetic energy = mass? When I expend energy in throwing a a baseball, does it gain weight as it flies through the air? Then lose weight when it hits the ground?

I also don't get the whole "expanding" idea as objects are accelerated towards light speed.. Does the length of the baseball also expand when thrown?


Gotta run unfortunately (cause I love this stuff), but about your first part...

m = m0 /sqrt(1 - v2/c2)

m = mass, m0 = initial mass

So as velocity (v) approaches the speed of light (c), the denominator approaches zero and m approaches infinity.

Probably not very satisfactory as to the "why" but maybe a little math behind it will muddy it up a little more.


Posted by Shakka on Jan-31-2008 19:34:

quote:
Originally posted by Capitalizt
I still don't understand how the energy used to push something actually ADDS to the weight of that 'thing'...

How does kinetic energy = mass? When I expend energy in throwing a a baseball, does it gain weight as it flies through the air? Then lose weight when it hits the ground?

I also don't get the whole "expanding" idea as objects are accelerated towards light speed.. Does the length of the baseball also expand when thrown?


I'm not deeply involved in this thread but I think you may be confusing "adding weight" with momentum and the associated force. F=MV^2

Otherwise I think the question starts to delve into relativity but I don't think relativity is relevant when talking about baseballs and speeds that are minuscule relative to the speed of light.


Posted by Krypton on Jan-31-2008 22:23:

Mass and energy are the same thing? WHAT?! I wonder if I can be converted to energy right now? A human atomic bomb!!


Posted by DJ Shibby on Feb-01-2008 11:01:

quote:
Originally posted by Krypton
Mass and energy are the same thing? WHAT?! I wonder if I can be converted to energy right now? A human atomic bomb!!


A ha! You're on to something.


Posted by hiram on Nov-30-2011 20:32:

BUMP!!!!!!

2 active members of CoR Crackhead Alliance decided to expand our minds once again. In my opinion physics is one aspect of our existence we may never fully understand, and I wish most of these folks would still post. It is beautiful yet complicated and I may never fully wrap my mind around it. But it is always fun to try.

Cheers!


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