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

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 3.4m , and the belt moves at a speed of 8.5m/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 5.6m/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.)

Please show work.

Explanation / Answer

No. of plates comes to the student per minute = speed / distance between consecutive plates

            = 8.5 / 3.4 = 2.5 plates

now relative speed of belt (or plates) w.r.t student = Vbelt - Vstudent

             = 8.5 - 5.6 = 2.9 m / min

Now no. of plates = 2.9 / 3.4   = 0.853 plates per min.

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