Gravitational Potential Energy
Verified Calculation Engine
The online Gravitational Potential Energy helps you calculate instantly and solve problems related to Gravitation. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Physics calculations.
Gravitational Potential Energy: calculate the requested physical quantity from the stated inputs using U = −GMm/r. The page states the model assumptions, units and worked examples so the result can be checked.
- Newtonian gravity unless explicitly stated. Orbits are treated as ideal two-body/central-force problems.
Inputs
Results
Symbols, Variables & Units
| Input | Symbol / name | Unit | Role |
|---|---|---|---|
centralMass | Central mass | kg | Central mass in kg. |
mass | Test mass | kg | Test mass in kg. |
distance | Distance | m | Distance in m. |
Use a consistent unit system. The Physics engine evaluates numerical inputs in the units stated beside each field; it does not silently convert incompatible dimensions.
Physics Study Guide
Concept
Newtonian gravitation and orbital motion
Exam focus
Use it for the stated spherical/point-mass or orbital approximation. Check whether the distance is measured from the centre of the body and whether the result is a field, potential or energy. In an exam, write the governing equation first, substitute values with units, and check the dimensions of the final quantity.
Common mistakes
- Do not mix units; convert all dimensional inputs to a consistent unit system before substitution.
- Check signs, directions, angles and reference points before entering values.
- Do not apply the formula outside its stated physical assumptions or boundary conditions.
How to verify your answer
Check the result against the displayed formula, expected unit and physical scale. For this calculator, also verify that the stated assumptions and limiting case are satisfied.
Model limits
This result is valid only under the assumptions stated on the calculator page. For real systems with non-ideal geometry, losses, distributed effects or relativistic/quantum corrections, use the appropriate advanced model.
Worked Examples
Worked example
Use central mass = 5.972e+24, mass = 2, distance = 6.4e+06. The validated result is potential energy = -1.24559e+08.
- centralMass: 5.972e+24
- mass: 2
- distance: 6.4e+6
- potentialEnergy: -1.24559e+8
- result: -1.24559e+8
Second worked example
Use central mass = 8.958e+24, mass = 3, distance = 9.6e+06. The validated result is potential energy = -1.86839e+08.
- centralMass: 8.958e+24
- mass: 3
- distance: 9.6e+6
- potentialEnergy: -1.86839e+8
- result: -1.86839e+8