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to https/isession masteringphysics.com/myct/masteringa/assignment/547878 physics com/mct/emViewassignmentProblemiD81359225 Waves/Sound Unit Homework 4-Doppler Problem 15.54-Enhanced - with Feedback lots > A train whistle approaches own The train cuts its speed in ha whal tho speed of tho tran before slowg dwn? Express your answer to two significant igures and include the appropriate usits heard 320 Ha as the train the station, and the t sound of the t whiste s then 300 H Value Units - Part B What is the speed of the tain ater siowing down Express your answer to b signicant Sgures and include the appropriate units 5:25 Dell 3 5 6 8

Explanation / Answer

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Solution:

fo = frequency source

vs = sound speed [say 340 m/s]

v = train speed before slowing down

v' = train speed after slowing down = v/2

f = fo*vs/(vs-v) [frequency heard before slowing down]

f' = fo*vs/(vs-v') [frequency heard after slowing down]

310 = fo* 343 / (343 - v)

300 = fo * 343 / (343 - v/2)

dividing the above 2 equations

310 / 300 = (343 - v/2) / (343 - v)

1.0333(343 - v) = 343 - v/2

354.43 - 1.0333v = 343 - 0.5v

11.43 = 0.5333v

Part A: v = 21.439 m/s (before slowing down)

Part B: v/2 = 10.72 m/s (after slowing down)

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