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Physics & engineering

Gravitational potential energy

Gravitational potential energy using clearly labeled inputs, with the formula, a worked example and practical limits explained.

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YOUR RESULT
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Enter your values, then select Calculate.

How it works

Potential energy relative to the chosen reference: E = mgh, in joules.

Input definitions

Mass (kg)
Enter the value in the labeled unit.
Height above reference (m)
Enter the value in the labeled unit.
Gravitational acceleration (m/s²)
Enter the value in the labeled unit.

A worked example

Mass (kg)
2
Height above reference (m)
3
Gravitational acceleration (m/s²)
9.80665
58.8399

Assumptions & limits

Uniform gravitational field. Signed height gives signed energy relative to the reference, not absolute energy.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Can gravitational potential energy be negative?

Yes. Height is measured relative to your chosen zero level. A point below that reference has negative mgh in this constant-gravity model.

Which units should I enter?

Use the units written in each input label. These formulas assume idealized conditions; changing to centimetres, litres or kilopascals without conversion changes the meaning of the result.

How does the Gravitational potential energy tool work?

Potential energy relative to the chosen reference: E = mgh, in joules.

What are the assumptions and limits of Gravitational potential energy?

Uniform gravitational field. Signed height gives signed energy relative to the reference, not absolute energy.

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