College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Review & Synthesis: Chapters 9-12 - Review Exercises - Page 468: 12

Answer

(a) The frequency of the sound as heard by Haruki is $522.7~Hz$ (b) The frequency of the sound that Junichi hears is $519.7~Hz$

Work Step by Step

(a) We can use the equation for the Doppler effect when the source is approaching: $f_o = \left(\frac{v}{v-v_s}\right)~f_s$ $f_o = \left(\frac{343~m/s}{343~m/s-7.00~m/s}\right)~(512.0~Hz)$ $f_o = 522.7~Hz$ The frequency of the sound as heard by Haruki is $522.7~Hz$ (b) We can let $f_s = 522.7~Hz$. We can use the equation for the Doppler effect when the observer is moving away: $f_o = \left(\frac{v-v_o}{v}\right)~f_s$ $f_o = \left(\frac{343~m/s-2.00~m/s}{343~m/s}\right)~(522.7~Hz)$ $f_o = 519.7~Hz$ The frequency of the sound that Junichi hears is $519.7~Hz$
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