Skip to main content

Potential Energy Calculator

Potential energy is stored energy: a raised mass has gravitational potential energy, and a stretched spring has elastic potential energy.

Calculated Result
490.5 JJ

Potential energy

Potential energy

490.5 J

In kilojoules

0.4905 kJ

In calories

117.2323 cal

Type

Gravitational

Weight (m·g)

98.1 N

490.5 J — Energy

Calculation Breakdown

  1. FormulaPE = m·g·h = 10 × 9.81 × 5
  2. Energy stored490.5 joules

What Is the Potential Energy Calculator?

Potential energy is stored energy an object has because of its position or configuration.

How Does the Potential Energy Calculator Work?

The calculator applies m·g·h for height and ½·k·x² for spring displacement.

Potential Energy Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

PEg=mgh,PEe=12kx2PE_g = mgh, \quad PE_e = \tfrac{1}{2}kx^2

Gravitational potential energy is mass times gravity times height; elastic potential energy is half the spring constant times displacement squared.

How to Use the Potential Energy Calculator

  1. Choose the type and enter mass and height, or the spring constant and displacement.

Step-by-Step Example Calculation

10 kg raised 5 m

Input Values:

mode:gravitational
mass:10
height:5
gravity:9.81
Worked Steps: That stores 490.5 joules of gravitational potential energy.

Understanding Your Result

The result is the stored energy in joules, with kilojoules and calories.

Factors That Affect the Result

  • Mass, height or gravity for gravitational PE; spring constant and displacement for elastic PE.

When Should You Use This Calculator?

  • Use it in physics problems involving energy conservation, lifting and springs.

Assumptions & Limitations

  • Assumes constant gravity and an ideal spring (Hooke’s law).

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

\n

Explore more tools and calculators in Physics Calculators