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A hungry student working in a cafeteria decides to eat from plates of food that

ID: 1437819 • Letter: A

Question

A hungry student working in a cafeteria decides to eat from plates of food that pass on a conveyor belt. The plates are separated by 3.0m , and the belt moves at a speed of 9m/min . How many plates of food does the student eat per minute? Express your answer using two significant figures. As the student's hunger is appeased, he moves with the belt at a speed of 6m/min . Determine the number of plates of food that now reach the student each minute. (This change is similar to the Doppler shift for a moving listener.)

Explanation / Answer

Here,

speed of belt , v = 9 m/min

as plates are seperated by d = 3 m

number of plates from which student eat per min = v/d

number of plates from which student eat per min = 9/3

number of plates from which student eat per min = 3

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Now, for the number of plates reaching the student

the number of plates reaching the student = (9 - 6)/d

the number of plates reaching the student = 3/3

the number of plates reaching the student = 1

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