You place your ear onto a steel railroad track and hear the sound of a distant train through the rails At = 4.2 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is v₂ = 343 m/s. a. Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D. b. Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D. c. Use the difference in these two times to write an equation for the distance to the train. d. For the given information find the distance to the train in meters.

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Author:Paul Peter Urone, Roger Hinrichs
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Chapter17: Physics Of Hearing
Section: Chapter Questions
Problem 10PE: A physicist a1 a fireworks display times the lag between seeing an explosion and hearing its sound,...
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You place your ear onto a steel railroad track and hear the sound
of a distant train through the rails At = 4.2 seconds faster than you
do through the air. The speed of sound in steel is vs = 6100 m/s
while in air the speed of sound is va = 343 m/s.
a. Write an equation for the time it takes the sound to reach you
through the air if the distance to the train is represented by D.
b. Write an equation for the time it takes the sound to reach you
through the steel if the distance to the train is represented by D.
c. Use the difference in these two times to write an equation for
the distance to the train.
d. For the given information find the distance to the train in
meters.
Transcribed Image Text:You place your ear onto a steel railroad track and hear the sound of a distant train through the rails At = 4.2 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 m/s. a. Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D. b. Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D. c. Use the difference in these two times to write an equation for the distance to the train. d. For the given information find the distance to the train in meters.
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