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# Potential Energy Formula

Potential energy is the stored energy in an object due to its position with respect to some reference (Normally ground).

Potential Energy Formula is given by

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 helps to calculate the mass, height or potential energy if any of the two quantities are given. It is expressed in Joules.

 Related Calculators Gravitational Potential Energy Formula Calculator Elastic Potential Energy Calculator Potential Energy Calculator Nernst Potential Calculator

## Potential Energy Problems

Below are some problems based on potential energy.

### Solved Examples

Question 1: A ball of mass 2 Kg is kept on the hill of height 3Km. Calculate the potential energy possessed by it?
Solution:

Mass of the body (m) = 2kg,
Height (h) = 3 Km,
Potential Energy possessed by the body = m $\times$ g $\times$ h
Where g = 9.8 m/s2
$\therefore$ Potential Energy = 2 kg $\times$ 9.8 m/s2 $\times$ 3 $\times$ 103 m
= 6000 Kgm $\times$ 9.8 m/s2
= 58800 Nm
= 58800 J.

Question 2: A boy is carrying a bucket of water of mass 5 Kg. If he does 500 J of work, to what height will he raise it?
Solution:

Mass of the water = m = 5Kg,
Potential energy P.E = 500 J,
Height h =?
Potential energy P.E = mgh
Height h = $\frac{P.E}{mg}$
= $\frac{500}{5 \times 9.8}$
= 10.2 m.

 More topics in Potential Energy Formula Elastic Potential Energy Formula Mechanical Energy Formula
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