Question

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?
(a) μ < μ', M < M'
(b) μ > μ', M < M'
(c) μ < μ', M > M'
(d) μ > μ', M > M'

Answer 1

Answer:

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Answer 2

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 $\mu<\mu^{\prime}, M<M^{\prime}$

Explanation:

• The horizontal force should always be greater than the frictional force to move an object from a place. In this case, the coefficient of friction between the shoes of the boy and floor is lesser than that between the floor and the box.
• So, on exerting the force on the box, only there is the chance for the boy’s shoe to move from the place and not the box.
• Also, the mass of box is greater than that of boy. Hence the gravitational force of box is greater than the boy’s force and as a result, he cannot push hard enough to move the box.