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Difference between relatavistic kinetic energy and normal kinetic energy

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Kennalj
#1
Jan13-10, 10:32 PM
P: 6
I was looking at the relativistic energy of an electron and noticed that the formula for kinetic energy is:

K.E. = mc^2 -m0c^2


How is this related to the kinetic energy for low speed particles?
Does anyone have a link to the proof?
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nicksauce
#2
Jan13-10, 10:45 PM
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This can be written as (Gamma - 1) m_0c^2. Do a taylor expansion of gamma and the result immediately follows.
jtbell
#3
Jan13-10, 11:12 PM
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Or see here:

http://hyperphysics.phy-astr.gsu.edu...releng.html#c6


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