Gravitational Potential Energy Calculator
Calculate gravitational potential energy effortlessly. Input mass, height, and gravitational acceleration to compute energy stored. Visit examples.com for accurate calculations.
Find the stored energy of any object at height with the Examples.com Gravitational Potential Energy Calculator. Enter mass, height, and gravity in whatever units you have, and get an instant, accurate result in Joules — no manual unit conversion, no formula lookup.
How to Use the Gravitational Potential Energy Calculator
Step 1: Enter the Mass
- Mass (m): Type the mass of the object into the field, then choose its unit — kilograms (kg) or grams (g). The calculator converts internally, so you don’t need to do the math yourself.
Step 2: Enter the Height
- Height (h): Enter how high the object is above the reference point, then choose its unit — meters (m), centimeters (cm), or feet (ft).
Step 3: Set the Acceleration Due to Gravity
- Gravity (g): The field defaults to 9.81 m/s², Earth’s standard gravity, so most users can leave it as-is. Change the value or switch to cm/s² to model a different environment (the Moon, another planet, or a lab scenario).
Step 4: Calculate
- Calculate Button: Click “Calculate,” or just keep typing — the result updates live as you edit any field or switch a unit.
Step 5: Read Your Result
- Potential Energy: The result displays in Joules (J). Click “Clear” to reset all fields back to their defaults and start a new calculation.
Gravitational Potential Energy Formula
The calculator uses the standard physics formula for gravitational potential energy:
PE = m × g × h
Where:
- PE is the gravitational potential energy, measured in Joules (J)
- m is the mass of the object, converted internally to kilograms (kg)
- g is the acceleration due to gravity, converted internally to meters per second squared (m/s²)
- h is the height of the object above the reference point, converted internally to meters (m)
Because mass, height, and gravity can each be entered in different units, the calculator converts every value to its base SI unit (kg, m, m/s²) before multiplying, so the result stays accurate regardless of which units you pick.
Examples of the Gravitational Potential Energy Calculator
Example 1: A Book on a Shelf
A student wants the potential energy of a textbook sitting on a high shelf.
- Mass: 1.5 kg
- Height: 2 m
- Gravity: 9.81 m/s² (default)
- Result: 29.43 J
Example 2: A Ball Dropped from a Building
An engineering student is calculating the stored energy of a ball before it falls.
- Mass: 500 g
- Height: 30 m
- Gravity: 9.81 m/s² (default)
- Result: 147.15 J
Example 3: A Weight at the Top of a Staircase
A homeowner wants a quick estimate using imperial height units.
- Mass: 10 kg
- Height: 12 ft
- Gravity: 9.81 m/s² (default)
- Result: 359.19 J
Example 4: An Object on the Moon
A physics student is comparing potential energy on the Moon versus Earth.
- Mass: 2 kg
- Height: 5 m
- Gravity: 1.62 m/s² (Moon’s surface gravity, entered manually)
- Result: 16.2 J
What is gravitational potential energy?
Gravitational potential energy is the energy an object holds because of its position above a reference point, usually the ground. The higher and heavier the object, the more energy it stores, and that energy converts to motion (kinetic energy) as the object falls.
Why does the calculator default gravity to 9.81 m/s²?
9.81 m/s² is Earth’s standard acceleration due to gravity, the value used in the vast majority of everyday and classroom calculations. You can overwrite it any time to model other environments, like the Moon (1.62 m/s²) or Mars (3.72 m/s²).
Can I mix different units for mass, height, and gravity?
Yes. Each field has its own unit selector, and the calculator converts every value to kilograms, meters, and meters per second squared internally before calculating, so you can enter mass in grams and height in feet in the same calculation without any accuracy loss.
What does the result represent?
The result is the gravitational potential energy of the object, expressed in Joules (J), the SI unit of energy.
Is the Gravitational Potential Energy Calculator free to use?
Yes. The calculator is free, requires no sign-up, and works directly in your browser.