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The Gravitational Potential Energy Calculator will calculate:

- Gravitational potential energy possessed by an object of mass m when it is on the surface of a planet of mass M, which has a radius R.
- Gravitational potential energy possessed by an object of mass m when it is at height h from the surface of a planet of mass M, which has a radius R.

The gravitational potential energy of the object on the surface of planet is J |

The gravitational potential energy of the object on the surface of planetis J |

Gravitational potential energy of the object on the surface of planet calculation |
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GPE_{0} = G × M × m/RGPE _{0} = × × /GPE _{0} = /GPE _{0} = |

Gravitational potential energy of the object at a certain height from the surface of planet calculation |

GPE = G × M × m/R + hGPE = × × / + GPE _{0} = /GPE _{0} = |

Gravitational Potential Energy Physics Caculator Input Values |

Mass of the planet (M) kg |

Mass of the object (m) kg |

Radius of planet (R) m |

Height of the object from the surface of planet (h) m |

Gravitational Constant (G) N∙m^{2}/kg |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each gravitational potential energy physics calculation, the Gravitational Potential Energy Physics Calculator will automatically calculate the results and update the Physics formula elements with each element of the gravitational potential energy physics calculation. You can then email or print this gravitational potential energy physics calculation as required for later use.

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Calculating the gravitational potential energy possessed by an object of mass m when it is on the surface of a planet of mass M, which has a radius R.

GPE_{0} = *G × M × m**/**R*

Calculating the gravitational potential energy possessed by an object of mass m when it is at height h from the surface of a planet of mass M, which has a radius R.

GPE = *G × M × m**/**R + h*

**Note:** The minus sign is removed from the formulae as in both cases we are interested only in the numerical value of gravitational potential energy.

The following Physics tutorials are provided within the Gravitation section of our Free Physics Tutorials. Each Gravitation tutorial includes detailed Gravitation formula and example of how to calculate and resolve specific Gravitation questions and problems. At the end of each Gravitation tutorial you will find Gravitation revision questions with a hidden answer that reveals when clicked. This allows you to learn about Gravitation and test your knowledge of Physics by answering the test questions on Gravitation.

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