Gravitational Potential Energy CalculatorFree online other calculator — instant results, no sign-up
Calculate potential energy change near Earth’s surface.
Sign in to save results and favorites.
About the Gravitational Potential Energy Calculator
The Gravitational Potential Energy Calculator estimates the change in an object's gravitational potential energy when its height changes near Earth's surface. It multiplies mass and height increase by standard gravitational acceleration, 9.80665 m/s². With the default mass of 10 kg and height increase of 5 m, the calculated energy increase is 490.3325 J.
- Mass (kg)
- The object's mass in kilograms (kg), with a default value of 10 kg.
- Height increase (m)
- The vertical increase from the object's starting height to its final height in meters (m), with a default value of 5 m.
Formula and method
ΔU = m × g × Δh = 10 kg × 9.80665 m/s² × 5 m = 490.3325 J
- ΔUChange in gravitational potential energy, measured in joules (J).
- mObject mass, measured in kilograms (kg).
- gStandard gravitational acceleration, fixed at 9.80665 meters per second squared (m/s²).
- ΔhFinal height minus starting height, measured in meters (m).
Multiply the entered mass by the fixed gravitational acceleration of 9.80665 m/s², then multiply by the vertical height increase. For the default inputs, 10 × 9.80665 gives 98.0665 N of gravitational force; multiplying by 5 m gives a potential energy increase of 490.3325 J.
Worked example
These are the calculator's starting values and the results it actually produces for them.
Inputs
- Mass10 kg
- Height increase5 m
Results
- Result490.3325 J
How to use the Gravitational Potential Energy Calculator
- 1Enter the object's mass in Mass (kg); the default is 10.
- 2Enter the vertical height increase in Height increase (m); the default is 5.
- 3Check that the height represents vertical displacement rather than distance traveled along a slope or path.
- 4Run the calculation using the entered values.
- 5Read the Result in joules; the default inputs produce 490.3325 J.
Reading your result
The Result row reports the change in gravitational potential energy in joules (J), not the object's total energy. The default result of 490.3325 J means the object gains that much gravitational potential energy when raised by the specified height. A positive result indicates a gain, zero indicates no change, and a negative result, if negative height changes are accepted, indicates a loss.
Limitations
This calculation assumes constant mass and uniform gravitational acceleration near Earth's surface. Actual gravity varies with location and altitude, so the fixed standard value is an approximation; the displayed decimal places do not guarantee equivalent physical accuracy. For height changes large enough that gravity varies appreciably, a variable-gravity model is needed. The result excludes friction, air resistance, changes in kinetic energy, and lifting-system inefficiency, so it does not necessarily equal the energy consumed by a person or machine.
Common questions
Why does the default calculation give 490.3325 J rather than a rounded estimate?+
The calculator uses standard gravity, 9.80665 m/s², rather than a rounded gravitational acceleration. Multiplying 10 kg × 9.80665 m/s² × 5 m gives exactly 490.3325 J under that model.
Should I enter distance along a ramp or the vertical height gained?+
Enter only the vertical height gained. Gravitational potential energy change depends on the difference between starting and ending heights, not the length of the route taken.
Does the starting height need to be measured from sea level?+
No. Only the height difference matters in this constant-gravity model, so both heights can be measured relative to any shared reference level.
Is this result the energy a motor needs to lift the object?+
It is the ideal work required against gravity. If the object starts and ends at rest, an ideal lossless lifting system supplies this amount; a real motor generally consumes more because of inefficiency and other losses.
Does the calculator save my information?+
Calculations run in your browser. While signed in, inputs and results are automatically recorded in account history; saving a result creates a separate saved record.
Further reading
You might also like
IP Subnet Calculator
Network, broadcast and host range of an IPv4 subnet.
Password Generator
Create a strong random password.
Voltage Drop Calculator
Voltage drop on a copper conductor.
GDP Calculator
GDP by the expenditure approach.
Horsepower Calculator
Horsepower from torque and RPM.
Engine Horsepower Calculator
Estimate horsepower from weight and quarter-mile time.
Results are estimates for informational purposes and are not financial, medical or legal advice.