Question

a French submarine and a U.S. submarine

move toward each other during maneuvers in motionless

water in the North Atlantic. The French sub moves at speed

v

F

50.0 km/h, and the U.S. sub at

v

US

70.0 km/h. The

French sub sends out a sonar signal (sound wave in water) at

1000 Hz. Sonar waves travel at 5470 km/h. (a) What is the

signal’s frequency as detected by the U.S. sub? (b) What fre-

quency is detected by the French sub in the signal reflected

back to it by the U.S. sub?

the detector 32 In Fig. 16-22, a French submarine and a U.S. submarine move toward each other during maneuvers in motionless water in the North Atlantic. The French sub moves at speed VF 50.0 km/h, and the US. sub at vus 70.0 km/h. The French sub sends out a sonar signal (sound wave in water) at 1000 Hz. Sonar waves travel at 5470 km/h. (a) What is the signal's frequency as detected by the U.S. sub? (b) What fre- quency is detected by the French sub in the signal reflected back to it by the U.S sub? French U.S US Fig. 16-22 Problem 32. 33 A sound

Answer 1

a) f = (v + u_o/v-u_s) f_o, where f_o = 1000 Hz V = 5470 Km/h uo = 70 Km/h u_s = 50 Km/h = 1022 . 14 Hz b) f = (v + u_0/v - u_s) f_o where f_o = 1022 . 14 Hz V = 5470 Km/h u_o = 50 Km/h u_s = 70 Km/h 1044.85 Hz

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