Chapter 13 Solutions - Mosinee School District

Chapter 13
f
v boat wave
, 5.0 m s
20 m
0.25 Hz
13.49 The down and back distance is 4.00 m + 4.00 m = 8.00 m.
The speed is then
v
d total
t
4 8.00 m
0.800 s
40.0 m s
F
Now,
m
L
0.200 kg
4.00 m
5.00 10
2
kg m
so
F v
5.00 10 kg m 40.0 m s 80.0 N
2 2
2
13.50 The speed of the wave is
v
x
t
20.0 m
0.800 s
25.0 m s
and the mass per unit length of the rope is m/ L 0.350 kg m . Thus, from v F , we obtain
2
2
25.0 m s 0.350 kg m 219 N
F v
13.51 (a) The speed of transverse waves in the cord is v F , where mL is the mass per unit length. With
the tension in the cord being F = 12.0 N, the wave speed is
v
F F FL
m L m
12.0 N 6.30 m
0.150 kg
22.4 m s
(b)
The time to travel the length of the cord is
t
L
v
6.30 m
22.4 m s
0.281 s
13.52 (a) In making 6 round trips, the pulse travels the length of the line 12 times for a total distance of 144 m. The
speed of the pulse is then
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