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5. From Eq. 3745, the Lorentz factor would be
γ=
=
×
=
E
mc
2
6
15 10
75000
.
.
eV
20 eV
Solving Eq. 378 for the speed, we find
γ
γ
=
−
¡
=−
1
1
1
1
2
2
(/)
vc
which implies that the difference between
v
and
c
is
22
11
1
1
2
cvc
c
§·
−= − −
≈ − −
+
¨¸
γγ
©¹
"
where we use the binomial expansion (see Appendix E) in the last step. Therefore,
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This note was uploaded on 01/23/2011 for the course PHYSICS 214 taught by Professor Rebello,nobels during the Fall '10 term at Kansas State University.
 Fall '10
 Rebello,NobelS

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