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14. The “coincidence” of
x
=
x
0
=0at
t
=
t
0
= 0 is important for Eq. 3820 to apply without additional
terms. In part (a), we apply these equations directly with
v
=+0
.
400
c
=1
.
199
×
10
8
m
/
s,andinpart(b)
we simply change
v
→−
v
and recalculate the primed values.
(a) The position coordinate measured in the
S
0
frame is
x
0
=
γ
(
x
−
vt
)=
x
−
p
1
−
β
2
=
3
.
00
×
10
8
m
−
(1
.
199
×
10
8
m
/
s)(2
.
50 s)
p
1
−
(0
.
400)
2
=2
.
7
×
10
5
m
/
s
≈
0
,
where we conclude that the numerical result (2
.
7
×
10
5
or 2
.
3
×
10
5
depending on how precise a
value of
v
is used) is not meaningful (in the signiFcant Fgures sense) and should be set equal to
zero (that is, it is “consistent with zero” in view of the statistical uncertainties involved). The time
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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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