   Chapter 14, Problem 76AP

Chapter
Section
Textbook Problem

Two ships are moving along a line due east (Fig. P14.76). The trailing vessel has a speed relative to a land-based observation point of v1 = 64.0 km/h, and the leading ship has a speed of v2 = 45.0 km/h relative to that point. The two ships are in a region of the ocean where the current is moving uniformly due west at vcurrent = 10.0 km/h. The trailing transmits a sonar signal at a frequency of 1 200.0 Hz through the water. What frequency is monitored by the leading ship? To determine
The frequency monitored by the leading ship.

Explanation

Given Info: The speed relative to land based is v1=64.0km/h and speed relative to leading ship is v2=45.0km/h .

The speed relative to land based observation point in m/s is,

v1=(64.0km/h)(1000m1km)(1h3600s)=17.8m/s

The speed relative to leading ship based observation point in m/s is,

v2=(45.0km/h)(1000m1km)(1h3600s)=12.5m/s

Here the source is moving towards the observer but the observer is moving away from the source.

The speed of the sound in sea water from given table (14.1) is vs=1533m/s

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