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In the figure shown, a solid sphere of m...

In the figure shown, a solid sphere of mass `'m'` and radius `r` is released from a height `6r` to slide down a smooth surface. A plank of same mass `'m'` touches the horizontal portion of the surface at the ground. The co-efficient of friction between the plank and the sphere is `mu` and that between the plank and the ground is `mu//4`. Find the work done by the friction force between the plank and the ground till the sphere starts pure rolling on the plank. Neglect the height of the plank.

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