Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 14 - Waves and Sound - Problems and Conceptual Exercises - Page 494: 53

Answer

(a) $0.33KHz$ (b) (i) bicyclist A speeds up.

Work Step by Step

(a) We know that $f_1^{\prime}=(\frac{1+u_{\circ}/v}{1-u_s/v})f$ We plug in the known values to obtain: $f_1^{\prime}=(\frac{1+8.50/343}{1-8.50/343})(315)=0.33KHz$ (b) We know that for equal changes in speeds, the Doppler shift due to a moving source is greater than that due to a moving observer. Thus, the greater increase in frequency heard by bicyclist B is (i) bicyclist A speeds up by 1.5 m/s.
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