# Potential Energy Calculator

Potential Energy |
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Mass |
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Acc. due to gravity |
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Height |
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## Definition

**Potential energy** is the energy stored in an object. This energy has the potential to do work. Gravity gives potential energy to an object. This potential energy is a result of gravity pulling downwards. The gravitational constant, g, is the acceleration of an object due to gravity.

As the object gets closer to the ground, its potential energy decreases while its kinetic energy increases. The difference in potential energy is equal to the difference in kinetic energy

##### Types of Potential Energy

Type |
Motion |
Examples |

Gravitational Potential Energy | the heavy ball of a demolition machine is storing energy when it is kept at an elevated position | roller coaster, waterwheel, etc. |

Electric potential energy | bulk flow of charges(electrons, protons, ions) | household current, AC and DC circuits, lightning, etc. |

Magnetic potential energy | Attraction between two magnets | Compass, Earth’s magnetic field, MRI machine |

Elastic potential energy | Spring stretching | elastic waistband, rubber ball bounces, bow string stretching, trampoline stretching |

## Formula

Potential energy at a height h above that point is equal to the work which would be required to lift the object of mass m to that height with no net change in kinetic energy. The gravitational potential energy is equal to its weight(mass x g) times the height to which it is lifted

P.E_{(J)} = Mass_{(Kg)}[m] * Acc. due to gravity_{(m/s2)}[g] * Height_{(m)}[h]

**Example:**

A person wants to know how much potential energy his pet has when it climbs to the top of the tree near his house. The tree is 15 meters high and the pet has a mass of 5 kilograms. How much potential energy does the pet has?

**Sol. :**

PE = m * g * h

F = 5_{(kg)} * 9.8_{(m/s}^{2}) * 15_{(m)}

**PE = 735 kg m ^{2}/s^{2} or 735 Joules**

## Units

The standard unit of measurement for kinetic energy is the **Joule**. 1 Joule is equivalent to **1 kg*(m/s) ^{2}**