Potential Energy Calculator
This potential energy calculator finds the gravitational potential energy of an object from its mass and height. Enter the values and the potential energy calculator returns the stored energy in joules and kilojoules.
Results
The Potential Energy Calculator is part of our Energy collection. Browse more energy to size, convert, and check your work alongside this tool.
What the potential energy calculator does
The potential energy calculator works out the energy an object stores because of its height. Lift anything against gravity and you store gravitational potential energy in it, ready to be released if it falls. This gravitational potential energy calculator makes that stored energy a concrete number.
Potential energy formula
The potential energy calculator uses the classic equation:
Mass times gravity times height gives the gravitational potential energy. This PE = mgh calculation is one of the cornerstones of mechanics.
Potential energy example
A 10 kg mass raised 5 meters stores:
Let it fall and the potential energy calculation converts almost entirely into kinetic energy at the bottom.
How to use the potential energy calculator
Enter the mass in kilograms and the height in meters. Gravity defaults to 9.81, which suits Earth. The potential energy calculator then returns the stored energy in joules and kilojoules.
Reading the potential energy result
The stored energy from the potential energy calculator is what becomes motion, heat, or work when the object drops. Double the height and you double the potential energy; double the mass and the same holds. That direct proportionality makes the gravitational potential energy easy to reason about.
Common Use Cases
- Physics problems using PE = mgh
- Sizing energy storage in pumped hydro or weights
- Estimating impact energy from a fall
- Comparing stored energy at different heights
Common Mistakes to Avoid
- Wrong gravity. Use 9.81 for Earth; other bodies differ.
- Mixing units. Keep mass in kilograms and height in meters for joules.
- Confusing PE with force. Potential energy is energy, not the force of the fall.
Tips for Accurate Results
- Height and mass both scale potential energy directly.
- Pair with the kinetic energy calculator to track a fall.
- Keep to SI units for a clean joules result.
How the potential energy calculator connects to motion
The real value of a potential energy calculator shows up when the object moves. Energy is conserved, so the gravitational potential energy stored at height converts into kinetic energy as the object falls, ignoring air resistance. A weight that stores 490 joules at the top arrives at the bottom with very nearly 490 joules of motion. This is why the potential energy calculation and the kinetic energy calculation are two ends of the same story, and why hydroelectric dams, roller coasters, and pile drivers all trade one for the other.
Why height and mass matter equally
The PE = mgh formula behind the potential energy calculator treats mass and height as equal partners. Twice the mass or twice the height both double the stored energy, which is a useful design lever. Pumped-storage plants exploit height, lifting huge volumes of water to modest heights; a pile driver exploits mass, dropping a heavy weight a short way. The gravitational potential energy calculator lets you weigh those two routes to the same stored energy against each other.
Reference Table
| Mass | Height | PE |
|---|---|---|
| 10 kg | 5 m | 490.5 J |
| 10 kg | 10 m | 981 J |
| 20 kg | 5 m | 981 J |
Potential Energy Calculator FAQ
How do I calculate potential energy?
Multiply mass by gravity by height. The potential energy calculator uses PE = mgh, with gravity at 9.81 on Earth, to give the stored energy in joules.
What is gravitational potential energy?
It is the energy an object stores because of its height in a gravity field. The gravitational potential energy calculator shows how much is stored and ready to release.
Does potential energy depend on the path?
No. The potential energy calculation depends only on the height gained, not the route taken to get there.