A block of mass m is placed on an another rough block of...

A block of mass $m$ is placed on an another rough block of mass $M$ and both are moving horizontally with same acceleration $a$ due to a force which is applied on the lower block, then work done by lower block on the upper block in moving a distance $s$ will be (A) Mas (B) $(m+M) a s$ (C) $\frac{M^{2}}{m} a s$ (D) $m{\text { mas }}$

A block of mass $m$ is placed on an another rough block of mass $M$ and both are moving horizontally with same acceleration $a$ due to a force which is applied on the lower block, then work done by lower block on the upper block in moving a distance $s$ will be
(A) Mas
(B) $(m+M) a s$
(C) $\frac{M^{2}}{m} a s$
(D) $m{\text { mas }}$

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Key Concepts

Work-Energy Theorem

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. This principle is used to compute the work accomplished when an object is accelerated over a certain distance, independent of the actual force details, by directly relating force, displacement, and kinetic energy change.

Kinematics of Uniformly Accelerated Motion

The kinematic equations for uniformly accelerated motion, such as the relation between acceleration, displacement, and the final velocity (v² = u² + 2as), are essential for analyzing systems under constant acceleration. They allow one to determine the change in speed and corresponding kinetic energy change over a displacement, thereby linking the motion to the work done.

Force Transmission via Friction

In coupled systems, friction serves as the mechanism by which acceleration is transmitted from one body to another. Even when friction is static and the points of contact do not slide relative to each other, it still plays a crucial role in transferring energy and force between the objects, thereby contributing to the acceleration and work done on the objects.

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