Increased shipping represents a global threat to marine life. A phenomenon known as the bow null-effect can cause acoustic shadows around ships effectively masking their engine noise in some directions. A Dolphin swimming horizontally at a velocity of 3.50 m/s near the surface of the ocean tracks a prey fish by emitting a 55.0 kHz series of click-like sound. The sound reflects from the bow of a ship directly in front of the Dolphin. The ship is moving at a velocity of 11.5 m/s on an intercept course with the oncoming Dolphin. The speed of sound in sea water is approximately 1530m/s. Find: a) the wavelength of the sound emitte

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Increased shipping represents a global threat to marine life. A phenomenon known as the bow null-effect can cause acoustic shadows around ships effectively masking their engine noise in some directions.

A Dolphin swimming horizontally at a velocity of 3.50 m/s near the surface of the ocean tracks a prey fish by emitting a 55.0 kHz series of click-like sound. The sound reflects from the bow of a ship directly in front of the Dolphin. The ship is moving at a velocity of 11.5 m/s on an intercept course with the oncoming Dolphin. The speed of sound in sea water is approximately 1530m/s.

Find:

  • a) the wavelength of the sound emitted by the Dolphin,
  • b) the frequency of the reflected sound.
  • c) If it takes 14.5 ms for the Dolphin to hear the sound reflected from the boat bow, how far away is the boat?
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