A bucket is mounted on a skateboard, which rolls across a horizontal road with n

Question

A bucket is mounted on a skateboard, which rolls across a horizontal road with no friction. Rain is falling vertically into the bucket. The bucket is filled with water, and the total mass of the skateboard, bucket, and water is M = 14.5 kg. The rain enters the top of the bucket and simultaneously leaks out of a hole at the bottom of the bucket at equal rates of ? = 0.101 kg/s. Initially, bucket and skateboard are moving at a speed of v0. How long will it take before the speed is reduced to 30.7%?

Explanation / Answer

F*t = change in momentum

0.101*vo*t = 14.5(v0 - 0.307vo)

t = 14.5(1-0.307)/0.101 = 99.49 seconds

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