   Chapter 14, Problem 29P

Chapter
Section
Textbook Problem

Two trains on separate tracks move toward each other. Train 1 has a speed of 1.30 × 102 km/h; train 2, a speed of 90.0 km/h. Train 2 blows its horn, emitting a frequency of 5.00 × 102 Hz. What is the frequency heard by the engineer on train 1?

To determine
The frequency heard by the engineer on train 1

Explanation

Given Info: frequency of  horn of train 2  is 500 Hz, velocity of train 2 is 90km/hr , velocity of train 1 is 130km/hr and velocity of sound is 343m/s

Formula for frequency of a boy,

f0=f(v+v0vvs)

• f  is frequency horn emitting from train 2
• v0 is the velocity of train 1
• v is the speed of the sound
• vs is the velocity of the train 2

Substitute 500 Hz for f, 130km/hr for v0 , 90km/hr for vs and 343m/s for v in the above expression to get f0 .

f0=500Hz(343m/s+(130km/hr×1000Ȁ

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