You have the perfect summer job with a team of marine biologists studying dolphi

Question

You have the perfect summer job with a team of marine biologists studying dolphin communication off the coast of Hawaii.

Massive boulders on the ocean floor can interrupt the reception of underwater sound waves from the dolphins. To reduce these disruptions, your team has decided to put several "transceivers" (a device that receives a signal, amplifies the signal, and then transmits it) at strategic locations on the ocean floor. A transceiver will receive sound waves from a dolphin and then retransmit them to the researchers on the ship. The ship's receiver is on a long cable so that it is at approximately the same depth as the dolphins.

Because of your physics background, you worry that the frequency received at the moving ship will be different than that emitted by the dolphin. To determine the size of this effect, you assume that the ship is moving at 35km/h away from the stationary transceiver. Meanwhile, the dolphin is moving at 60km/h towards the transceiver and at an angle of 63

Explanation / Answer

speed = 60cos63 =27.24 kmph

=27.24*5/18 = 7.56 m/s

moving towards =>- vs

moving=35*5/18 = 9.72 m/s

receiver moving =>-vr

f =(c+vr)fo/(c+vs)

=(1497-9.7)660/(1497-7.5) =669 Hz

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