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A car is parked 20.0 m directly south of a railroad crossing. A train is approaching...

A car is parked 20.0 m directly south of a railroad crossing. A train is approaching the crossing from the west, headed directly east at a speed of 55.5 m/s. The train sounds a short blast of its 312-Hz horn when it reaches a point 20.0 m west of the crossing. What frequency does the car's driver hear when the horn blast reaches the car? The speed of sound in air is 343 m/s. (Hint: Assume that only the component of the train's velocity that is directed toward the car affects the frequency heard by the driver.)

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Answer #1

given

f = 312 hz

velocity of sound, v = 343 m/s

velocity of sourve, vs = 55.5 m/s

apparent frequency heard by lisenter,

f' = f*v/(v - vs*cos(45))

= 312*343/(343 - 55.5*cos(45))

= 352.3 hz

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