# Height of an Object with GPE Calculator

The equation for gravitational potential energy is GPE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity which is a constant = 9.8 on Earth, and h is the height above the ground. This online calculator assists you to calculate the height of an object in space given its gravitational potential energy (GPE) and mass.

## Find Height From GPE and Mass of an Object

The equation for gravitational potential energy is GPE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity which is a constant = 9.8 on Earth, and h is the height above the ground. This online calculator assists you to calculate the height of an object in space given its gravitational potential energy (GPE) and mass.

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#### Formula:

Height (M) = Gravitational Potential Energy (J) / (Mass (Kg) x Gravitational Acceleration)
**Where,**
Gravitational Acceleration = 9.8 m/s^{2}

#### Example

**An object of mass 50 kg has a GPE of 9800 J, find the height of the object.**

Height = 9800 / (50x 9.8)

=20 m

In general, the gravitational potential energy (GPE) arises from the law of gravity and is equal to the work done against gravity to bring a mass to a given point in space.

Gravitational potential energy, or GPE, is like height energy. The higher up an object is placed, the more GPE it has.