Physics & Engineering Calculator

Potential Energy Calculator

Calculate gravitational potential energy from mass, height, and local gravity for Earth, Moon, or Mars.

Free to useRuns in your browserClear formula & units

Calculator

Enter your values

Fields start empty. Choose the units shown beside each input, then calculate when you are ready.

mass
height
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What is a potential energy calculator?

Gravitational potential energy measures energy associated with position in a gravitational field. Near a planetary surface, the familiar mgh approximation connects mass, local gravitational acceleration, and vertical height change.

For a connected mechanics or engineering question, compare this result with the Kinetic Energy Calculator rather than treating one formula as a complete model.

How does the potential energy calculator work?

Mass is converted to kilograms and height to meters. The calculator multiplies mass, selected gravity, and height, then converts the joule result to foot-pounds for an additional U.S. customary reference.

If your next step involves another quantity, the Force Calculator provides a separate calculation with its own units and assumptions.

What formula does the potential energy calculator use?

The calculator first converts the entered values to a consistent working unit system, then applies the standard relationship shown below. The displayed converted values make the calculation easier to check.

PE = mgh

Use the unit selectors beside the inputs rather than adding unit symbols to number fields. Small differences from another source can occur because of rounding, constants, or different modeling assumptions.

How do you use this potential energy calculator?

  1. Enter the requested numeric values.
  2. Choose the correct units or solve-for option where shown.
  3. Select Calculate Potential Energy.
  4. Read the main result, converted values, and method note.
  5. Use Copy, Download, or Print when you need to keep the result; select Reset to start over.

If you edit an input after calculating, the previous result is cleared so an old value is not mistaken for a current one.

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What do the potential energy results mean?

A positive height change gives positive potential-energy change; a negative height change gives a negative change relative to the chosen reference level. The absolute zero level is arbitrary in this near-surface model.

For a useful cross-check or conversion, open the Energy Converter; it can help translate this result into a related planning value.

What are the limitations of this potential energy calculator?

The mgh approximation assumes gravity is effectively constant across the height change. Large altitude changes or orbital problems require the inverse-square gravitational potential model.

You can also browse the Projectile Motion Calculator when the problem extends beyond this equation.

Scope: Results are educational calculations and planning estimates. Safety-critical, professional, laboratory, or regulated engineering work requires appropriate standards, measurements, and qualified review.

Who should use this potential energy calculator?

This potential energy calculator is useful for students, instructors, technicians, makers, and anyone who needs a quick transparent check of the standard relationship used by this tool. It is best suited to educational work, planning, estimation, homework checks, and non-safety-critical technical calculations.

For related problems, browse the Physics & Engineering Calculators category. For professional or regulated work, use the applicable engineering standards, manufacturer data, measured conditions, and qualified review instead of relying on a general-purpose calculator alone.

Frequently asked questions

Gravitational potential energy measures energy associated with position in a gravitational field. Near a planetary surface, the familiar mgh approximation connects mass, local gravitational acceleration, and vertical height change.
PE = mgh. Mass is converted to kilograms and height to meters. The calculator multiplies mass, selected gravity, and height, then converts the joule result to foot-pounds for an additional U.S. customary reference.
A positive height change gives positive potential-energy change; a negative height change gives a negative change relative to the chosen reference level. The absolute zero level is arbitrary in this near-surface model.
The mgh approximation assumes gravity is effectively constant across the height change. Large altitude changes or orbital problems require the inverse-square gravitational potential model.
Where unit choices are provided, the calculator converts them internally to consistent base units and shows useful converted results. Use the unit label beside each field rather than typing unit symbols into the number box.
Yes. The calculator, BMI-style result panel, article sections, and action buttons are responsive for phones, tablets, laptops, and desktop screens.
No. The calculation runs in your browser. The calculator does not require an account and does not send the entered numeric values to a calculation server.
No. It is an educational and planning tool for transparent calculations. Safety-critical design, professional engineering, laboratory work, and regulated applications require appropriate standards, measurements, and qualified review.

Sources and methodology

The formula, unit conventions, and cautions on this page are documented so the calculation can be checked against authoritative references.

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