University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 15 - Mechanical Waves - Problems - Exercises - Page 497: 15.6

Answer

(a) $v = 0.96~m/s$ (b) $A = 0.265~m$ (c) $v = 0.96~m/s$ $A = 0.15~m$

Work Step by Step

(a) Since it takes 2.5 s to go from the highest point to the lowest point, it must be 5.0 s from one wave crest to the next. We can find the speed of the waves. $v = \frac{distance}{time}$ $v = \frac{4.8~m}{5.0~s}$ $v = 0.96~m/s$ (b) The total distance from the highest point to the lowest point is 0.53 meters. The amplitude is half of this distance. $A = \frac{0.53~m}{2} = 0.265~m$ (c) If the total vertical distance changed to 0.30 meters, the answer to part (a) would not change. The speed of the waves would still be 0.96 m/s. However, the answer to part (b) would change. The amplitude would be $\frac{0.30~m}{2}$, which is 0.15 meters.
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