Gravitational Potential Energy Calculator (General)

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.

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Calculator Precision (Decimal Places)
Mass of the planet (M) kg	× 10 power of
Mass of the object (m) kg	× 10 power of
Radius of planet (R) m	× 10 power of
Height of the object from the surface of planet (h) m	× 10 power of
Gravitational Constant (G) N∙m²/kg²	× 10 power of

Gravitational Potential Energy Calculator Results (detailed calculations and formula below)
Gravitational potential energy of the object on the surface of planet calculation
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
GPE₀ = G × M × m/R GPE₀ = × × / GPE₀ = / GPE₀ =
Gravitational potential energy of the object at a certain height from the surface of planet calculation
GPE = **G × M × m/R + h** GPE = × × / + GPE₀ = / GPE₀ =
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∙m²/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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Discover Physics with free Physics Revision Notes and Physics Calculator: Gravitational Potential Energy Physics. This image shows the properties and gravitational potential energy physics formula for the Gravitational Potential Energy Physics. This calculator will calculate 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

Gravitational potential energy of the object on the surface of planet Formula and Calculation

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.

GPE₀ = G × M × m/R

Gravitational potential energy of the object at a certain height from the surface of planet Formula and Calculation

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.

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Gravitational Potential Energy Calculator (General)

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