EXAMPLE 14.4GOAL Solve a Doppler shift problem when only the source is moving.Listen, but Don't Stand on the TrackPROBLEM A train moving at a speed of 40.0 m/s sounds its whistle, which has a frequency of5.00 x 10² Hz. Determine the frequency heard by a stationary observer as the train approaches theobserver. The ambient temperature is 24.0°C.STRATEGY Get the speed of sound at the ambient temperature using the relevant equation, thensubstitute values into the Doppler shift equation. Because the train approaches the observer, the observedfrequency will be larger. Choose the sign of vs to reflect this fact.SOLUTIONCalculate the speed of sound in air at T= 24.0°C.The observer is stationary, so vo = 0.The train is moving toward theobserver, so vs = 40.0 m/s (positive).Substitute these values and the speedof sound into the Doppler shiftequation.V = (331 m/s) √T/ 273 K= (331 m/s) √(273 + 24.0) K/ 273 K =$ (v + √² ) =fo=fs (= 566 Hz= (5.00 x 10² Hz)345 m/s345 m/s345 m/s - 40.0 m/s PRACTICE ITUse the worked example above to help you solve this problem. A train at a speed of 36.4 m/s sounds itwhistle, which has a frequency of 5.06 x 10² Hz. Determine the frequency heard by a stationary observeras the train approaches the observer. The ambient temperature is 21.7°C.HzEXERCISEHINTS: GETTING STARTED | I'M STUCK!Determine the frequency heard by the stationary observer as the train recedes from the observer.Hzfrequency=

Answered: Image /qna-images/answer/e2423c5c-d92d-4e5a-b943-e3063ecf4b6e.jpg

PRACTICE IT Use the worked example above to help you solve this problem. A train at a speed of 36.4 m/s sounds it whistle, which has a frequency of 5.06 x 10² Hz. Determine the frequency heard by a stationary observer as the train approaches the observer. The ambient temperature is 21.7°C. Hz EXERCISE HINTS: GETTING STARTED I'M STUCK! Determine the frequency heard by the stationary observer as the train recedes from the observer. frequency = Hz

PRACTICE IT Use the worked example above to help you solve this problem. A train at a speed of 36.4 m/s sounds it whistle, which has a frequency of 5.06 x 10² Hz. Determine the frequency heard by a stationary observer as the train approaches the observer. The ambient temperature is 21.7°C. Hz EXERCISE HINTS: GETTING STARTED I'M STUCK! Determine the frequency heard by the stationary observer as the train recedes from the observer. frequency = Hz

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 39P: A driver travels northbound on a highway at a speed of 25.0 m/s. A police car, traveling southbound...

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