# Hooke's Law Calculator

## Calculator Use

This calculator finds the missing variable in the physics equation for Hooke's Law F_{s} = -kx, when two of the variables are known.

Hooke's Law states that the force needed to extend or compress a spring is directly proportional to the distance the spring is stretched or compressed.

This means that there is a linear relationship between the force required to stretch a spring, and the length the spring is stretched.

## Hooke's Law Equation

The Hooke's Law Calculator uses the formula *F _{s} = -kx* where F is the

**restoring force exerted by the spring**, k is the spring constant and x is the displacement, or distance the spring is being stretched.

### Variables in Hooke's Law Equation

- F
_{s}= spring force - k = a spring constant
- x = displacement

The equation can also be stated:

Where F is the
**force exerted on the spring**, k is the spring constant and x is the displacement.

You might see this equation in the case where the problem is in determining what is the force pulling on or compressing the spring.

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

Furey, Edward "Hooke's Law Calculator F = -kx" at https://www.calculatorsoup.com/calculators/physics/hookes-law.php from CalculatorSoup,
*https://www.calculatorsoup.com* - Online Calculators

Last updated: October 10, 2023