Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 12 - Sound - Problems - Page 356: 61

Answer

(a) The boat encounters a wave crest every 1.4 seconds. (b) The boat encounters a wave crest every 11 seconds.

Work Step by Step

(a) If the boat is moving west, the speed of the wave is 32 m/s relative to the boat. We can find the time it takes for the wave to travel a distance of 44 meters at this relative speed. $t = \frac{44~m}{32~m/s} = 1.4~s$ The boat encounters a wave crest every 1.4 seconds. (b) If the boat is moving east, the speed of the wave is 4 m/s relative to the boat. We can find the time it takes for the wave to travel a distance of 44 meters at this relative speed. $t = \frac{44~m}{4~m/s} = 11~s$ The boat encounters a wave crest every 11 seconds.
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