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Chapter 39
455
P39.65
Look at the situation from the instructors’ viewpoint since they are at rest relative to the clock, and
hence measure the proper time. The Earth moves with velocity
vc
=−
0280
.
relative to the
instructors while the students move with a velocity
′=−
uc
0600
.
relative to Earth. Using the velocity
addition equation, the velocity of the students relative to the instructors (and hence the clock) is:
u
vu
vu c
cc
c
c
=
+
′
+′
=
−−
+−
−
1
0 280
0 600
1
0 280
0 600
0753
22
..
.
af
a
f
a
fa
f
(students relative to clock).
(a)
With a proper time interval of
∆
t
p
=
50 0
. m
in , the time interval measured by the students is:
∆∆
tt
p
=
γ
with
=
−
=
1
10
7
5
3
152
2
2
.
.
.
Thus, the students measure the exam to last
T
==
152500
760
.
min
minutes
.
(b)
The duration of the exam as measured by observers on Earth is:
p
=
with
=
−
1
2
8
0
2
2
.
so
T
104500
521
.
min
minutes
.
P39.66
The energy which arrives in one year is
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 Fall '11
 Staff
 Physics

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