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17. (a) We take the ﬂashbulbs to be at rest in frame
S
,andletframe
S
0
be the rest frame of the second
observer. Clocks in neither frame measure the proper time interval between the ﬂashes, so the full
Lorentz transformation (Eq. 3820) must be used. Let
t
s
be the time and
x
s
be the coordinate of
the small ﬂash, as measured in frame
S
. Then, the time of the small ﬂash, as measured in frame
S
0
,is
t
0
s
=
γ
µ
t
s
−
βx
s
c
¶
where
β
=
v/c
=0
.
250 and
γ
=1
/
p
1
−
β
2
=1
/
p
1
−
(0
.
250)
2
=1
.
0328. Similarly, let
t
b
be the
time and
x
b
be the coordinate of the big ﬂash, as measured in frame
S
. Then, the time of the big
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 Fall '08
 SPRUNGER
 Physics

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