5) Show that the kinetic energy K = E - mc2 = (y - 1)mc2 for speeds v <

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find the rest energy in J for the following parts

5) Show that the kinetic energy
K = E - mc? = (y - 1)mc2
for speeds v <<c yields
1
K =
ту?
Hint: Use the following expression obtained from the binomial expansion.
(1 – x²)-(/½) =
1
r2 - ...
1+ 5*°
Transcribed Image Text:5) Show that the kinetic energy K = E - mc? = (y - 1)mc2 for speeds v <<c yields 1 K = ту? Hint: Use the following expression obtained from the binomial expansion. (1 – x²)-(/½) = 1 r2 - ... 1+ 5*°
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