A wooden plank of mass 20kg is at rest on a smooth horizontal floor. A man of mass 60kg starts moving from one end of the plank to the other end. The length of the plank is 10m. The displacement of the plank over the floor when the man reaches the other end of the plank is 1.5x, then the value of x is ____

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answer is 18.

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Detailed Solution

Mass of man m=60kg
Mass of the boat = (M) = 20kg
Length of the plank = 10m
Distance moved by the boat $S = \frac{m l}{m + M} = \frac{60 \times 10}{60 + 20} = 7.5 m$

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