# Potential Energy

Written by Jerry Ratzlaff on . Posted in Electromagnetism

## Potential Energy

Potential energy is the possessed energy by a body due to its relative position in a gravitational field. As the elevation of the body decreases the less potential energy.

Elastic potential energy is the energy stored in objects as the result of deformation, such as a spring when stretching or compressing.

Electric potential energy known as voltage, is when two opposite charges are held apart.

### Potential Energy Formula

$$PE = m g h$$ (Gravitational Potential Energy)

$$PE = \frac {1}{2} kx^2$$ (Elastic Potential Energy)

$$V = \frac {W}{C}$$ (Electric Potential Energy)

Where:

$$PE$$ or $$E_p$$ = potential energy

$$m$$ = mass

$$g$$ = gravity

$$h$$ = height

$$k$$ = spring constant

$$x$$ = displacement

$$V$$ = voltage

$$W$$ = work

$$C$$ = charge

Solve for:

$$m = \frac {PE} {g h}$$

$$g = \frac {PE} {m h}$$

$$h = \frac {PE} {m g}$$

Tags: Equations for Energy