# Potential Energy Formula

When an object stores energy due to its particular position and a particular reference point, such as ground, it is called potential energy.

Potential Energy Formula is given by

$P.E =m\times g\times h$

Where m = mass of the body,

h is the height attained due to the body's displacement and

g is the acceleration due to gravity which is constant on earth.

Potential energy formula assists in calculating the mass, height or potential energy if any of the two quantities are given. It is expressed in Joules.

## Potential Energy Problems

Below are given some problems based on potential energy.

**Solved Examples**

**Question 1:** A ball of mass 6 Kg is kept on the hill of height 12 Km. Calculate the potential energy possessed by it?

**Solution:**

Mass of the body (m) = 6 kg,

Height (h) = 12 Km,

Potential Energy possessed by the body = m $\times$ g $\times$ h

Where g = 9.8 m/s2

$\therefore$ Potential Energy = 6 kg $\times$ 9.8 m/s^{2} $\times$ 12 $\times$ 103 m

= 720000 Kgm $\times$ 9.8 m/s^{2}

= 7056000 Nm

= 7056000 J.

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