A car's horn has a frequency of 1000 Hz. An observer hears the horn at a pitch of 1.10 kHz. If the speed of sound in air is 345 m/s, the speed that the car was travelling, relative to the observer, is ___ m/s.

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masbrosur masbrosur · Answer 1 · 2020-06-15T19:49:58+02:00

Answer:

31,36 m/s

Explanation:

observer hears the horn at a pitch larger that the original (from the car) so it means that the car approaching the observer

so we can calculate the Doppler effect

fo = (v . fc)/(v - vc)

fo = frequency of the horn heard by the observer

fc = original frequency by the car

v = speed of sound

vc = car's speed

1100 = (345 . 1000)/(345 - vc)

1100 . (345 -vc) = 345000

379500 - 1100vc = 345000

1100 vc = 34500

vc = 34500/1100 = 31,36 m/s