Question

1. Brutus Buckeye is driving north on OH-315 at 29.0 m/s when he sees Hugh Jackman, The Wolverine, driving south on OH-315 at 30.5 m/s and waves at him. Hugh blasts his 500 Hz horns as they pass. Assume all travel in this problem happens in a straight line. a. As they travel towards each other, what wavelength of sound does Brutus hear. b. After they pass each other (maintaining their original speeds), what wavelength of sound does Brutus hear? c. All this honking causes a traffic jam and both cars come to a complete stop 200 m apart. What wavelength of sound does Brutus hear now?

Answer 1

weconsider Hugh as the source of sound and Brutus as observer if Hugh is moving towards Brutus with velocity=v, = 30.5" m S velocity of Brutus = v. = 29.0 m/s actual frequency of Hughhomn=f, =500 Hz velocity of sound= v=345 m/s the appparent frequency of horn sound Brutus hear = f, V+V f. V-V we plug the values in hand while using the relation giveus f =594.6Hz 345m/s and apparent wavelength of horn sound Brutus hear=%, f. 594.6Hz 0.5802 m b) whenHugh and Brutus cross each other and move away frome ach other let say Brutus will hear the horn with the appparent frequency = f, and V-V 0 f, f v+V, we plug the values in hand while using the relation give us f,=420.8 Hz 345m/s and apparent wavelength of horn sound Brutus hear= , f, 420.8 Hz V 0.82 m we plug the know values in the relation, when both the cars come to complete stop the wavelength of hom sound Brutus hear=2, =-= 0.690 m f. V

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