1. A train has whistle that produces a sound at 470 Hz. The train is moving with

Question

1. A train has whistle that produces a sound at 470 Hz. The train is moving with a constant speed of 30 m/s. A car, starting at rest in front of the train, moves towards the train with a constant acceleration. The car reaches a maximum speed of 60 m/s before it passes by the train. What is the range of Whistle frequencies heard by a passenger in the car? (Take the velocity of sound waves in air to be 340 m/s)
2. One charge of +35.0 uc is located at position (x1,y1) = (0,32.0 cm), and two charges of -35.0 uc are located at (x2,y2) = (-32.0 cm, 0) and (x3,y3) = (32.0 cm, 0). a) What is the electric field intensity at the origin of the coordinate system. b) What is the net force experienced by the positive charge. ( k= 8.99 x 109Nm2/C2)

Explanation / Answer

f0 = 470 Hz

vt = 30 m/s ; vc = 60 m/s

the range can be calculated as follows:

f = f0 (v + vc)/(v +vt)   

[ for lower range]

f = 470 (340 + 0)/(340 + 30) = 431.89 Hz

[for upper range]

f = 470 (340 + 60)/(340 + 30) = 508.11 Hz

Hence, frequency range is:

f = <431.89 Hz to 508.11

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