By comparing the frequency of a received echo with the known frequency of the emitted sound, SONAR units on submarines can determine the locations and velocities of other ships. Suppose a submarine that is virtually at rest emits a pulse of sound at a frequency f through water at the speed of sound v. What would be the frequency detected by a fast surface vessel, receeding at a speed of 0.08 v?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
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By comparing the frequency of a received
echo with the known frequency of the emitted
sound, SONAR units on submarines can
determine the locations and velocities of
other ships. Suppose a submarine that is
virtually at rest emits a pulse of sound at a
frequency f through water at the speed of
sound v. What would be the frequency
detected by a fast surface vessel, receeding
at a speed of 0.08 v?

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