## Potential energy

Potential Energy is energy that can be stored in a physical system and has the ability to be transformed into kinetic energy.

As the body loses potential energy it gains kinetic energy or vice versa.

### Gravitational Potential Energy

It is the energy that corresponds to the work that the Weight force performs.

It is obtained when we consider the displacement of a body vertically, originating from the reference level (soil, floor of a room,…).

As the body falls it gets faster, that is, it gains Kinetic Energy, and as the height decreases, it loses Potential Gravitational Energy.

### Elastic Potential Energy

It corresponds to the work that the Elastic force does.

Since elastic force is a variable force, your work is calculated by calculating the area of your graph, which Hooke's Law says is:

As the area of a triangle is given by:

So: