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matrenka [14]
3 years ago
7

From a vantage point very close to the track at a stock car race, you hear the sound emitted by a moving car. You detect a frequ

ency that is 0.835 times as small as the frequency emitted by the car when it is stationary. The speed of sound is 343 m/s. What is the speed of the car?
Business
1 answer:
yuradex [85]3 years ago
5 0

Answer:

The speed of the car is 67.77 m/s and it is moving away from the observer.

Explanation:

The apparent frequency is given as

f' = f\dfrac{ [v - vo]}{ [v - vs]}

Here

o is the  observer

s is the source which is car

v is the speed of  sound  = 343 m/s

f = true frequency emitted by the car (when stationary)

f ' = 0.835 f

so

f' = f\dfrac{ [v - vo]}{ [v - vs]}\\0.835 f= f\dfrac{ [v - vo]}{ [v - vs]}\\0.835 = \dfrac{ [343 - 0]}{ [343 - vs]}\\0.835=\frac{343}{343-x}\\x=-67.77 m/s

The speed of the car is 67.77 m/s and it is moving away from the observer.

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