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 work done on an object is equal to its change in kinetic energy. Mathematically, this can be expressed as:

W = ΔK

where W is the work done on the object, and ΔK is the change in kinetic energy of the object.

The work done on an object is defined as the product of the force applied to the object and the distance over which the force is applied. Mathematically, this can be expressed as:

W = Fd

where F is the force applied to the object, and d is the distance over which the force is applied.

The change in kinetic energy of an object is defined as the difference between its final kinetic energy and its initial kinetic energy. Mathematically, this can be expressed as:

ΔK = Kf - Ki

where Kf is the final kinetic energy of the object, and Ki is the initial kinetic energy of the object.

The work-energy theorem is a powerful tool for analysing the motion of objects. It allows us to relate the work done on an object to its change in kinetic energy, and vice versa. By using this principle, we can determine the work done on an object, the change in its kinetic energy, and its final velocity.