Gravitational Potential Energy Calculator

Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. This calculator determines it from mass, height and gravitational acceleration.

Potential energy formula

Gravitational potential energy is computed as:

PE = m × g × h

Where m is mass in kg, g is gravitational acceleration (9.81 m/s² on Earth) and h is height in meters. The result is expressed in joules (J).

Example 1: elevated object

Problem: A 10 kg object at 15 m height.

1. Calculation:
   • PE = 10 × 9.81 × 15 = 1,471.5 J.

Answer: PE = 1,471.5 J.

Example 2: hydroelectric dam

Problem: 1,000 kg of water at 50 m height.

1. Calculation:
   • PE = 1,000 × 9.81 × 50 = 490,500 J = 490.5 kJ.

Answer: PE = 490,500 J (490.5 kJ).

Common uses of potential energy

• Computing stored energy in hydroelectric dams.
• Analyzing energy of objects in free fall.
• Designing pumped storage systems.
• Studying energy conservation in physics.
• Computing work required to lift loads.
• Evaluating potential energy in roller coasters and extreme sports.

Common mistakes with potential energy

• Using centimeters instead of meters for height.
• Not using the correct value of g for the location (varies slightly with latitude).
• Confusing potential energy with kinetic energy.
• Not considering that height is measured from a reference point.

Pro tip

Potential energy converts to kinetic energy when the object falls. In the absence of friction, PE_initial = KE_final. This energy conservation is fundamental for solving mechanics problems.