Question

State and explain the work-energy theorem.​

Answer 1

The principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle. ... The kinetic energy of the block increases as a result by the amount of work.

Mention the refrence also

Answer 2

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$\bf\large\red{Work-kinetic\:energy\:theorem:-}$

When won done on a body changes only the speed of the body, the work done by the net force equals the change in the kinetic energy of the body.

$\bf\large\red{Explanation:-}$

According to the theorem, net work done on a particle

= change in the kinetic energy of the particle

= final KE - initial KE

A force does positive work when it has a component in the same direction as the displacement and it does negative work when it has a component opposite to the displacement. It does zero work when it has no component along the displacement, i.e., when it is perpendicular to the displacement.

Then, the work-kinetic energy theorem indicates that if the net work done on a particle is positive, the speed of the particle increases because the final kinetic energy is greater than the initial kinetic energy. If the net work is negative, the speed decreases because the final kinetic energy is less than the initial kinetic energy

[ $\bf\large\red{Note:-}$It is correctly called the work-kinetic energy theorem.]