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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
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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