Gravitational Potential Energy Calculator

This Gravitational Potential Energy Calculator works out how much energy an object stores because of its height above a reference level, using the standard formula potential energy equals mass times gravity times height. You enter the mass in kilograms, the height in metres and the acceleration due to gravity, which is about 9.81 metres per second squared near the Earth's surface, and the tool returns the potential energy in joules. Gravitational potential energy is the energy that would be released if the object fell back to the reference level, converting into kinetic energy as it speeds up, which is why a raised weight, a header tank of water or a roller coaster at the top of a climb all hold usable energy. Physics students, teachers, engineers and anyone studying mechanics or energy use this to compare stored energy, plan pumped storage, size counterweights or check energy balances in a problem. A few tips keep your answers correct. First, measure height from a clearly defined reference level, since potential energy is always relative to where you call zero, often the ground or floor. Second, keep your units in kilograms and metres so the result comes out in joules, converting grams to kilograms by dividing by 1000 first. Third, use 9.81 for everyday work on Earth, but switch to the local value for high precision or to a different value entirely for the Moon or other planets. Fourth, remember this counts only the energy from position, not motion or heat. Used carefully the calculator gives a quick, dependable figure you can feed straight into wider energy calculations.

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490.50 J
Potential energy

Potential energy PE = mass x gravity x height, giving joules when mass is in kilograms and height in metres.

How it works

The calculator multiplies mass by gravity and then by height. With mass in kilograms, gravity in metres per second squared and height in metres, the result is in joules. Doubling any one input doubles the stored energy.

Worked example

With a mass of 10 kg, gravity of 9.81 and a height of 5 m, the energy is 10 times 9.81 times 5. That works out to 490.50 joules of gravitational potential energy.

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Frequently asked questions

What is gravitational potential energy?

It is the energy an object has because of its height above a chosen reference level. If the object falls, that energy converts into kinetic energy of motion. It equals mass times gravity times height.

Why does the reference level matter?

Potential energy is always measured relative to a chosen zero height, usually the ground or floor. Changing where you call zero changes the value. Only the difference in height between two points has physical meaning for energy released.

What units should I use?

Use kilograms for mass and metres for height, with gravity in metres per second squared, and the answer comes out in joules. Convert grams to kilograms by dividing by 1000. Mixing units is the most common error.