What is the work-energy theorem?

The work-energy theorem states that the work done on an object is equal to its change in kinetic energy.

The work-energy theorem is a fundamental principle in physics that relates the work done on an object to its change in kinetic energy. It states that the net work done on an object is equal to the change in its kinetic energy. Mathematically, this can be expressed as W = ΔK, where W is the net work done on the object, and ΔK is the change in its kinetic energy.

This theorem is useful in a wide range of physical situations, from simple mechanical systems to more complex systems involving multiple forces and energy transfers. It can be used to analyse the motion of objects in free fall, the motion of a projectile, or the motion of a simple pendulum.

The work-energy theorem is closely related to the conservation of energy principle, which states that the total energy of a closed system remains constant over time. By applying the work-energy theorem, we can determine the amount of work done on an object and the resulting change in its kinetic energy, which can then be used to analyse the overall energy balance of the system.

Overall, the work-energy theorem is a powerful tool for understanding the motion of objects and the transfer of energy in physical systems. By applying this principle, we can gain insights into the behaviour of a wide range of physical phenomena, from simple mechanical systems to complex systems involving multiple forces and energy transfers.