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2
2
11
1
1(/)
vc
γ=
⇒
=
−
γ
−
which implies that the difference between
v
and
c
is
22
1
1
2
cvc
c
⎛⎞
−=
− −
≈
+
⎜⎟
γγ
⎝⎠
"
where we use the binomial expansion (see Appendix E) in the last step. Therefore,
(299792458m s)
0.0266m s
2.7cm s
2
2(75000)
−≈
=
=
≈
γ
.
7. From Eq. 3748, the Lorentz factor would be
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 Spring '08
 Any
 Physics

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