Question

car sounds よ a orn the note A (440 Hz)The horn is sounded while the car is moving down the street. A bicyclist moving in the same direction with one-fourth the cars speed hears a frequency of 420 Hz. (a) Is the cyclist ahead of or behind the car? ahead of the car behind the car (b) What is the speed of the car? (Assume the speed of sound in air is 343 m/s.) 16.7 Your response differs from the correct answer by more than 10%. Double check your calculations. ms
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Answer #1

In this problem we can use the Doppler effect to solve (a) and (b) questions

according to Doppler effect we can find the speed of the car .

O Giventhet At rest, ah Saundls the note-A A bicyclist moving in he Same dire cHow hears a fresuacf 420 H2. CO) the frequenc heoved by cyclist is reduced s a selative veloch betueun them Andit is decreasi. 50 the cist muytbe behindl the (b) As Cola the speed of tue Cora AnS Speed of Sound n aiy 343 mls. Accordin to Dopler effectSubstibule all values in albave eqhion 4 420 440 343 VCor alk ond +vbe couse For a source moving away to observer. 343VCot 20 L40 4 332 Vcor Lt 322.22 + 0.154 Vo 1332 +Va 4 (32.21 054 Var 13 Var 130.3 3.816 Vca3 132 1308. 88 3.816 63.12 2) 2.816 Vor- 3.12 Vcor z) Speed of the Cos Xor 2.414mls

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