8. From Eq. 3749, the Lorentz factor is
γ= +
= +
=
11
80
159
2
K
mc
MeV
135 MeV
..
Solving Eq. 378 for the speed, we find
γ
γ
=
−
¡
=−
1
1
1
1
2
2
vc
a
f
which yields
v
= 0.778
c
or
v
= 2.33
×
10
8
m/s. Now, in the reference frame of the
laboratory, the lifetime of the pion is not the given
τ
value but is “dilated.” Using Eq.
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 Fall '10
 TimothyBolton
 Special Relativity, Inertial frame of reference, Spacetime, reference frame, Eq., Lorentz factor

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