A boy of mass M is applying a horizontal force to slide a box of mass M’ on a rough horizontal surface. The coefficient of friction between the shoes of the boy and the floor is μ and that between the box and the floor is μ’. In which of the following cases it is certainly not possible to slide the box?

Question

Philoid · Accepted Answer

Force applied by boy on the body is equal to the frictional force between the body and the shoes of the boy. i.e. μMg

Force of friction between the body and the floor= μ’ M’ g

To slide the body (box), μMg >μ' M' g

This implies μ < μ’ and M < M’