Naked Science Forum
Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: Paul Young on 01/10/2011 10:30:03
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Paul Young asked the Naked Scientists:
Chris
Basically, what is the relevance of "c squared" in Einstein's famous equation E=mc^2?
ie if light is the fastest speed then why is it squared in the equation?
I think relevant now given the latest revelations that maybe some particles are faster than the speed of light
All the best
Paul Young
What do you think?
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It is a indication of the 'energy' intrinsic to matter, as I see it. And so it becomes 'c' squared.
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The c squared term basically comes from the kinetic energy of an object in motion that is for a body of mass m moving at a velocity of v the kinetic energy increases as v squared now to sort out the squared term.
The measure of energy consists of two parts, an applied force and a distance moved.
So when adding energy to a body by applying a force for a particular time period we need to consider how big the force is and how far the mass would move
The most fundamental equation of motion is that the acceleration a mass is proportional to the force applied
Next we have to find out the distance traveled in a time period as a result of the acceleration that the force has created
for a uniform acceleration from stationary the velocity is the aceleration times the time over which it has operated
and the distance covered is the velocity times the time period too
so for a given time period the distance travelled is a constant (1/2) x velocity x velocity
That is, vlocity comes into it twice to make it velocity squared