In a suspense-thriller movie, two submarines, X and Y, approach each other, traveling at 10.0 m/s and 15.0 m/s, respectively. Submarine X "pings" submarine Y by sending a sonar wave of frequency 2000.0 Hz. Assume that the sound travels at 1500.0 m/s in the water.
a) Determine the frequency of the sonar wave detected by submarine Y.
b) What is the frequency detected by submarine X for the sonar wave reflected off submarine Y?
c) Suppose the submarines barely miss each other and begin to move away from each other. What frequency does submarine Y detect from the pings sent by X? How much is the Doppler shift?
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