Potential Energy Calculator

Calculate gravitational potential energy, kinetic energy, and total energy for objects at various heights. Essential for understanding energy conservation in physics.
Calculator
Enter your values
9.81 for Earth
For kinetic energy
Results
98.10 J
Potential Energy
0.00 J
Kinetic Energy
98.10 J
Total Energy
Energy Analysis
Understanding potential energy relationships

Potential Energy

At a height of 10m, the object has 98.10 Joules of stored energy. This energy can be converted into kinetic energy if the object falls.

Kinetic Energy

With a velocity of 0 m/s, the object has 0.00 Joules of motion energy.

Total Mechanical Energy

The total mechanical energy (PE + KE) is 98.10 Joules. In a closed system without friction, this value remains constant.

How to Use

Step-by-step instructions
  1. 1Enter the mass of the object in kilograms
  2. 2Input the height of the object above the reference point
  3. 3Set the gravitational acceleration (9.81 m/s^2 for Earth)
  4. 4Enter the velocity for kinetic energy calculations
  5. 5Review the calculated potential energy and related quantities

Potential Energy Formula

Gravitational potential energy depends on mass, gravitational acceleration, and height. It represents the energy stored due to position in a gravitational field.
PE = mgh

Variables:

PEPotential energy (J)
mMass (kg)
gGravitational acceleration (m/s^2)
hHeight (m)

Example

Potential Energy Example

Inputs:

Mass:1 kg
Height:10 m
Gravity:9.81 m/s^2
Velocity:0 m/s

Steps:

  1. 1.Calculate potential energy: PE = mgh = 1 x 9.81 x 10 = 98.1 J
  2. 2.Calculate kinetic energy: KE = (1/2)mv^2 = 0.5 x 1 x 0^2 = 0 J
  3. 3.Calculate total energy: E = PE + KE = 98.1 + 0 = 98.1 J
  4. 4.This represents 98.1 J of stored potential energy
Result:
Potential Energy: 98.1J | Kinetic Energy: 0J | Total: 98.1J

Frequently Asked Questions

What is potential energy?

Potential energy is the energy stored in an object due to its position in a force field. Gravitational potential energy depends on height above a reference point.

How does height affect potential energy?

Potential energy is directly proportional to height. Doubling the height doubles the potential energy, assuming constant mass and gravity.