Science & engineering

Gravitational potential energy calculator

Estimate a change in gravitational energy near a uniform gravity field.

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Behind the numbers

How this calculation works

A positive height change increases gravitational potential energy relative to the starting level. The model treats gravity as constant over the height change. The default acceleration is standard gravity, not a measured local value.

THE FORMULAEnergy change = mass × gravity × height change

A worked example

Raising 2 kg by 10 m at 9.80665 m/s² changes energy by 196.133 J.

Good to know

Assumes the idealized model described above. Use consistent units and independently verify figures before a consequential decision.

A little curiosity

The reference height is a choice

A height change of +10 m and −10 m produces energy changes with opposite signs for the same mass and gravity. The calculator finds a change relative to the starting level; it does not identify a universal zero of potential energy.

Raise a 2 kg mass by 10 m at standard gravity and the modeled increase is 196.133 J. Lowering it through the same distance reverses that energy change under the ideal constant-gravity model.

Standard gravity is not a local measurement

The editable 9.80665 m/s² default is standard gravity. A location-specific calculation may use a different acceleration. The formula also assumes gravity remains effectively constant over the height range.

For orbital distances or large changes in distance from a planet’s centre, a constant g is not the right gravitational model. Use metres for height and kilograms for mass to obtain joules.

A few questions, answered

Why can the result be negative?

A negative height change means gravitational potential energy decreases relative to the chosen starting level.

Does it include friction or lifting efficiency?

No. It models the ideal gravitational energy change only.

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