Mass Energy Equivalence and Kinetic Energy
If a particle is moving through free space (no forces acting upon it) should its kinetic energy equal its mass energy equivalence or am I getting confused. In other words is an object's kinetic energy absorbed within its mass?
Is the following true? [tex]E_{kinetic} = \frac{p^{2}}{2m} = mc^{2} = E_{mass}[/tex] 
Re: Mass Energy Equivalence and Kinetic Energy
No.
(1) For one thing, mc², where m is the invariant mass, is the rest energy of the particle. (2) KE = p²/2m is only approximately valid when speeds are low enough. (3) The total energy of a free particle is given by [tex]E = (\frac{1}{\sqrt{1  v^2/c^2}}) mc^2[/tex] The KE energy is the total energy minus the rest energy: [tex]KE = (\frac{1}{\sqrt{1  v^2/c^2}}  1) mc^2[/tex] 
Re: Mass Energy Equivalence and Kinetic Energy
Thanks!
Yes, I realised I asked my question badly. So to clarify the total mass of the moving particle is equal to the initial massenergy plus the kinetic energy so the kinetic energy could be thought of as being absorbed into the total mass of the moving particle. Correct? 
Re: Mass Energy Equivalence and Kinetic Energy
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But I think you're better off sticking with invariant mass and thinking in terms of rest mass energy plus kinetic energy. 
Re: Mass Energy Equivalence and Kinetic Energy
So has science determined if there is a concrete difference between mass and energy? If the "relativistic" mass were increased by kinetic energy on an atom rather than a particle then would that affect the internal balance of forces of the atom? Could it alter the orbital radius &c?
Thanks for the reply! 
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Re: Mass Energy Equivalence and Kinetic Energy
Granted, but if I observe the atom's state when it was stationary and again when it was moving, both times from my own stationary frame, would there be any difference?

Re: Mass Energy Equivalence and Kinetic Energy
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Explanation of mass with Tensors http://www.youtube.com/watch?v=kcL9H8r9Qw 10:00 onwards, it shows how the above os derived http://www.youtube.com/watch?v=dII3mcnwycs 
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All of this would conspire to support the relativistic time dilation and Doppler effects. 
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