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m
µ
c
2
= 207
m
e
c
2
= 105.8 MeV,
Eq. 3752 yields
()
2
1
(105.8MeV)(3.136 1)
226MeV.
Km
c
γ
=−
=
−
=
(c) We write
m
c
= 105.8 MeV/
c
and apply Eq. 3741:
pm
vm
c
c
c
==
=
=
γγ
β
µµ
3136 1058
0 9478
314
..
.
b
gb
gb
g
MeV /
MeV /
which can also be expressed in SI units (
p
= 1.7
×
10
–19
kg·m/s).
56. (a) The proper lifetime
∆
t
0
is 2.20
s, and the lifetime measured by clocks in the
laboratory (through which the muon is moving at high speed) is
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 Spring '08
 Any
 Physics

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