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Gravitational Potential Energy Calculator
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Gravitational Potential Energy Calculator calculates potential energy(PE), mass(m) as well as height(h) if any of the two quantities are given among these.

Gravitational potential energy is the potential energy acquired by the virtue of its position acting under the action of gravity when the body is having mass(m) placed at height(h).

## Step by Step Calculation

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Step 1 :

Formulas:

Potential Energy (P.E) = m * g * h

Mass ( m ) = $\frac{PE}{g * h}$

Height ( h ) = $\frac{PE}{m * g}$

Where,

PE = Potential Energy

m = Mass

h = Height

g = Acceleration of gravity = 9.8 m/s2

Step 2 :

Put the values in the formula and calculate it further.

## Example Problems

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1. ### A ball of mass 2 kg placed at a height of 4 m. What is the value of potential energy stored in the ball?

Step 1 :

Given: Mass = 2 kg

Height = 4 m

PE = ?

Formula:

Potential Energy (PE) = m * g * h

Step 2 :

Put the values in the formula and calculate it further.

PE = 2 * 4 * 9.8

PE = 78.4 J

Answer  :

Potential Energy (PE) = 78.4 J

2. ### An object of mass 20 kg is raised through a certain height. Its potential energy is increased by 2985 Joules. Find the height of the object initially.

Step 1 :

Given: Mass = 20 kg

PE =   2985 J

Height (h) = ?

Formula:

Height ( h ) = $\frac{PE}{m * g}$

Step 2 :

Put the values in the formula and calculate it further.

Height (h) = $\frac{2985}{20 * 9.8}$

Height (h) = 15.23 m

Answer  :

Height (h) = 15.23 m

*AP and SAT are registered trademarks of the College Board.