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Potential energy calculator

Find the gravitational energy associated with a height above a chosen reference level.

Calculator

Potential energy
196.133

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How this calculator works

This near-surface model treats gravity as uniform. Choose a reference level and enter a nonnegative height above it. The energy change depends on height difference, rather than the absolute altitude. Large changes in distance from a planet require the inverse-square gravitational model.

Formula

U = m g h. Rearrange for any one positive factor; a zero known factor cannot determine the other factors uniquely.

Worked example

At g = 10 m/s2, lifting 5 kg by 2 m increases potential energy by 100 J. Lifting it by 4 m gives 200 J.

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Frequently asked questions

Where is zero energy?

At the reference height you choose. Only differences affect the work needed.

Can I change gravity?

Yes. Enter a local or planetary acceleration instead of standard Earth gravity.

Is height allowed below the reference?

This tool uses height above a lower reference. Move the reference level if you need a signed energy change.

Sources

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