# Elastic Potential Energy Calculator

## Calculator Use

This calculator finds the missing variable in the physics equation for Elastic Potential Energy U = ½kΔx², when two of the variables are known.

## Elastic Potential Energy Equation used in this Calculator

Where:

\( U \) = elastic energy

\( k \) = spring constant

\( \Delta x \) = change is position (displacement)

The Elastic Potential Energy Calculator uses the formula
*U = ½kΔx²* where U is the elastic energy, k is the spring constant and Δx is the change in position or displacement, such as the distance a spring is being stretched.

## Elastic Potential Energy Calculations:

Solving for spring force, spring constant or spring displacement we use the following formulas:

Calculate U Given k and Δx

Calculate elastic energy given spring constant and change in position.

Calculate k Given U and Δx

Calculate the spring constant given elastic energy and change in position.

Calculate Δx Given U and k

Calculate change in position given elastic energy and the spring constant.

**Cite this content, page or calculator as:**

Furey, Edward "Elastic Potential Energy Calculator U = ½kΔx²" at https://www.calculatorsoup.com/calculators/physics/elastic-potential.php from CalculatorSoup,
*https://www.calculatorsoup.com* - Online Calculators

Last updated: October 9, 2023