A system of two paint buckets (20.0kg and 5.00kg) connected by a lightweight rop

Question

A system of two paint buckets (20.0kg and 5.00kg) connected by a lightweight rope is released from rest with the 20.0kg bucket 3.00m above the floor as shown in the figure to the right. Use the principal of conservation of energy to find the speed with which this bucket strikes the floor. You can ignore friction and the mass of the pulley.

The answer is V=5.94m/s

I just need the problem worked out. Free body diagrams are appreciated.

A system of two paint buckets (20.0kg and 5.00kg) connected by a lightweight rope is released from rest with the 20.0kg bucket 3.00m above the floor as shown in the figure to the right. Use the principal of conservation of energy to find the speed with which this bucket strikes the floor. You can ignore friction and the mass of the pulley. The answer is V=5.94m/s I just need the problem worked out. Free body diagrams are appreciated.

Explanation / Answer

(m2-m1)gh = (1/2)(m1 + m2)v^2

v = sqrt[2(m2-m1)gh / (m1 + m2)].

v = sqrt[2(20-5)*9.8*3 / (20+5)]

v = 5.9397 m/s

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