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Joe, standing near a straight road, records the sound of the horn of a car trave

ID: 2123730 • Letter: J

Question

Joe, standing near a straight road, records the sound of the horn of a car traveling at a constant speed. The recorded frequency as a function of the car's position along the road for trials at different car speeds is accurately graphed below.


a)

1) The distance of  Joe from the path in R is   ..... in  Q.     
2) The speed in trial T is ..... that in other trials.     
     3) The speed in trial U is ..... that in S.          
4) The speed in trial R is ..... to that in Q.
5) The speed in trial U is ..... that in other trials.     
6) When the car is far away, the average of the frequencies moving in and out is ..... the frequency at rest.

The options are greater than, less than, or equal to.


b) Using the data on the figure, calculate the speed of the car in trial U. Use 340 m/s for the speed of sound.

Joe, standing near a straight road, records the sound of the horn of a car traveling at a constant speed. The recorded frequency as a function of the car's position along the road for trials at different car speeds is accurately graphed below. The distance of Joe from the path in R is ..... in Q. The speed in trial T is ..... that in other trials. The speed in trial U is ..... that in S. The speed in trial R is ..... to that in Q. The speed in trial U is ..... that in other trials. When the car is far away, the average of the frequencies moving in and out is ..... the frequency at rest. The options are greater than, less than, or equal to. Using the data on the figure, calculate the speed of the car in trial U. Use 340 m/s for the speed of sound.

Explanation / Answer

(i) L

(ii) E

(iii) G

(iv) L

(v) G

(vi) G

(b) assume observed frequency is f, real frequency is f0, velocity of sound is vs, velocity of car is v

then

f = (vs / vs - v) f0

or

f0/f = 1 - v / vs

900/990 = 1 - v / 340

v = 30.9 m/s


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