1
Phy 3221
Due: March 30, 2011
Homework set # 10
Problem
1:
Tarzan can swim through still water with a speed
c
0
. To impress Jane, he
swims directly across the Zambesi river (his path is at a right angle to the shore) and then
returns to his starting place. Where he is swimming, the Zambesi is a distance
d
wide, but
ﬂows with a speed of
v
.
a. How long does it take Tarzan to cross the river and then return?
b. Jane appears bored by all of this, so now Tarzan decides to swim a distance
d
directly
upstream and then swim back downstream to the original spot on the shore. How long
does it take for Tarzan to make this round trip?
c. What is the diﬀerence in these times in the limit that
v
±
c
0
? This means: subtract
the two answers, and write your answer in terms of the small quantity
v/c
0
. Then
take a Taylor expansion of the result, and keep only the dominant term in powers of
v/c
0
Problem
2:
A passenger train 120 m long passes a long railroad platform in Winnipeg.
The train is moving with a speed of 0
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 Spring '08
 CHAN
 mechanics, Work, Speed of light, Global Positioning System, satellites, relativistic time dilation

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