Q. A large slab of mass lies on a smooth horizontal surface, with a block of mass lying on the top of it. The coefficient of friction between the block and the slab is . If the block is pulled horizontally by a force of , the work done by the force of friction on the slab, between the instants and , is

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Solution:


Maximum frictional force between the slab and the block


Evidently,
So, the two bodies will move together as a single unit. If be their combined acceleration, then

Therefore, frictional force acting can be obtained as

Using
and
Therefore, work done by friction