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(d) Similarly,
( )( )
()
88
2
2
2.50s
0.400 3.00 10 m / 2.998 10 m/s
3.16s.
1
0.400
vx
tt
c
γ
+××
⎛⎞
′
=+=
=
⎜⎟
⎝⎠
−
18. The “coincidence” of
x = x'
= 0 at
t = t'
= 0 is important for Eq. 3721 to apply
without additional terms. In part (a), we apply these equations directly with
v
= +0.400
c
= 1.199
×
10
8
m/s,
and in part (c) we simply change
v
v
→ −
and recalculate the primed values.
(a) The position coordinate measured in the
S'
frame is
( )( )
5
22
3.00 10 m
1.199 10 m/s
2.50s
2.7 10 m 0,
1
1
0.400
xv
t
xx
v
t
β
×−
×
−
′
=−
=
=
=
×
≈
−
−
where we conclude that the numerical result (2.7
×
10
5
m or 2.3
×
10
5
m depending on
how precise a value of
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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