   Chapter 13, Problem 48P

Chapter
Section
Textbook Problem

Ocean waves are traveling to the cast at 4.0 m/s with a distance of 20.0 m between crests. With what frequency do the waves hit the front of a boat (a) when the boat is at anchor and (b) when the boat is moving westward at 1.0 m/s?

(a)

To determine
The frequency of the wave when it hits the boat at anchor.

Explanation

Given info: The speed of the waves is 4.0ms-1 towards cast. The distance between crests is 20.0m . The boat is at the anchor.

Taking eastward as positive, the relative velocity between the wave and the boat is,

vwb=vwwvbw

• vwb is the relative velocity of the wave with respect to boat
• vww is the relative velocity of the wave with respect to water
• vbw is the relative velocity of the boat with respect to water

Substituting vww=+4.0ms-1 and vbw=0 ,

vwb=+4

(b)

To determine
The frequency of the wave when it hits the boat at anchor.

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