What is the potential energy in a spring under compression?

The potential energy in a spring under compression is stored elastic potential energy.

When a spring is compressed, work is done on it, which results in the deformation of the spring. This deformation causes the spring to store potential energy, known as elastic potential energy. The amount of potential energy stored in a spring is directly proportional to the amount of deformation it undergoes. This relationship is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to its deformation.

The formula for calculating the potential energy stored in a spring under compression is given by:

PE = 1/2 kx^2

where PE is the potential energy stored in the spring, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

The potential energy stored in a spring under compression can be used to do work. For example, a compressed spring can be used to power a mechanical device, such as a clock or a toy. As the spring is released, the potential energy stored in it is converted into kinetic energy, which is used to do work.

In conclusion, the potential energy stored in a spring under compression is an important concept in physics. It is a form of stored energy that can be used to do work and is directly proportional to the amount of deformation the spring undergoes.