Gravitational Potential Energy (PE = m·g·h)

Energy stored in an object lifted to a height. Enter mass, height, and (optionally) the gravity of another planet.

Inputs

In kilograms (kg).

In metres above the chosen zero level.

Default = standard Earth gravity. Moon ≈ 1.62, Mars ≈ 3.71.

Result

Gravitational PE
6,864.65 J
  • In kilojoules6.865 kJ
  • In kcal (food calories)1.6407 kcal
  • Equivalent free-fall speed at hIf released from rest, this is the impact speed.14.005 m/s

Step-by-step

  1. PE = m × g × h.
  2. PE = 70 kg × 9.80665 m/s² × 10 m = 6,864.65 J.
  3. By energy conservation, an object falling from rest at this height hits at v = √(2gh) = 14.005 m/s.

How to use this calculator

  • Enter mass in kg.
  • Enter height in metres above the chosen zero (ground level is the usual choice).
  • Optionally change g for a different planet.
  • Read PE in joules. The breakdown shows free-fall impact speed if released from rest.

About this calculator

Gravitational potential energy is the energy stored in an object's vertical position relative to a reference level — typically the ground or some chosen zero. Lifting a 70 kg adult one storey (≈ 3 m) stores about 2 060 J. That is the energy that returns as kinetic energy on the way down: ignoring air resistance, the object hits the ground at v = √(2gh). Because g varies with location and especially with which planet you are on, this calculator lets you change g — useful for engineering problems on the Moon (1.62 m/s²) or Mars (3.71 m/s²). PE is conventionally measured from a chosen reference height; only changes in PE are physically meaningful.

Frequently asked

Wherever you choose. Only differences in PE matter physically. Pick the most convenient reference — usually the floor for engineering, infinity for orbital problems.

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