Balancing forces application

A plank of mass \(2 \text{ kg}\) and length \(1 \text{ m}\) is placed on a horizontal floor. A small block of mass \(1 \text{ kg}\) is placed on top of the plank, at its right extreme end. The coefficient of friction between plank and floor is \(0.5\) and that between plank and block is \(0.2\). If a horizontal force \(=30 \text{ N}\) starts acting on the plank to the right, the time after which the block will fall off the plank is

Take \(g=10 \text{ m/s}^{2}\)

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