How is work related to change in kinetic energy?

Work is directly related to the change in kinetic energy through the Work-Energy Theorem.

The Work-Energy Theorem is a fundamental concept in physics that states that the work done on an object is equal to the change in its kinetic energy. This theorem is derived from Newton's second law of motion and is a cornerstone of classical mechanics.

To understand this relationship, let's first define work and kinetic energy. Work, in physics, is defined as the product of the force applied to an object and the distance over which it is applied. It is measured in joules (J) in the International System of Units (SI). Kinetic energy, on the other hand, is the energy that an object possesses due to its motion. It is also measured in joules.

The Work-Energy Theorem states that the work done on an object by the net force acting on it equals the change in its kinetic energy. Mathematically, this is expressed as W = ΔKE, where W is the work done, ΔKE is the change in kinetic energy, and the equals sign indicates that these two quantities are equal.

This theorem is particularly useful in solving problems where it is difficult to apply Newton's second law directly. For example, when an object is subject to a variable force or when it moves along a curved path. In such cases, it is often easier to calculate the work done by the force and then use the Work-Energy Theorem to find the resulting change in kinetic energy.

In conclusion, the Work-Energy Theorem provides a powerful tool for analysing situations involving forces and motion. It allows us to relate the work done on an object to the change in its kinetic energy, providing a deeper understanding of the principles of energy transfer and conservation.