# 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.

## 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:

\( m = \frac {PE} {g h} \)

\( g = \frac {PE} {m h} \)

\( h = \frac {PE} {m g} \)