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44. (a) The proper lifetime ∆
t
0
is 2
.
20
µ
s, and the lifetime measured by clocks in the laboratory (through
which the muon is moving at high speed) is ∆
t
=6
.
90
µ
s. We use Eq. 387 to solve for the speed:
v
=
c
s
1
−
µ
∆
t
0
∆
t
¶
2
=0
.
9478
c
or
v
=2
.
84
×
10
8
m
/
s.
(b) From the answer to part (a), we ±nd
γ
=3
.
136. Thus, with
m
µ
c
2
= 207
m
e
c
2
= 105
.
8 MeV (see
Table 383), Eq. 3849 yields
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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