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A plank is moving along a smooth surface...

A plank is moving along a smooth surface with a constant speed V. A block of mass M is gently placed on it. Initially the block slips and then acquires the constant speed (V) same as the plank. Throughout the period, a horizontal force is applied on the plank to keep its speed constant. (a) Find the work performed by the external force. (b) Find the heat developed due to friction between the block and the plank.

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The correct Answer is:
`(a)MV^(2)`
(b) `1/2 Mv^(2)`
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