A block of mass 1 kg is placed at the point A of a rough...

A block of mass $1 \mathrm{~kg}$ is placed at the point $A$ of a rough track shown in figure (8-E6). If slightly pushed towards right, it stops at the point $B$ of the track. Calculate the work done by the frictional force on the block during its transit from $A$ to $B$.

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Key Concepts

Non-Conservative Forces

Non-conservative forces, such as friction, dissipate energy from a system, often transforming mechanical energy into heat. Unlike conservative forces, the work done by non-conservative forces depends on the path taken, resulting in energy losses that cannot be recovered by merely retracing the motion.

Work-Energy Theorem

The work-energy theorem relates the net work done on an object to its change in kinetic energy. In the presence of friction, the negative work done by friction accounts for the reduction in mechanical (and specifically kinetic) energy of the object.

Friction

Friction is a resistive force that acts opposite to the direction of motion, converting kinetic energy into thermal energy. It is a non-conservative force whose work cannot be fully recovered, as it leads to an irreversible loss of mechanical energy in the system.

Work

Work is the transfer of energy that occurs when a force is applied over a displacement. It is quantified as the product of the force component in the direction of the displacement and the distance moved, and is measured in joules.

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