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 = 10.0 kg. The rain enters the top of the bucket and simultaneously leaks out of a hole bucket at equal rates of λ = 0.100 kg/s. Initially, bucket and skateboard are moving at a speed of v0. How long will it take before the speed is reduced by half?
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