# Hooke's Law (spring)

## Description

Hooke’s Law of elasticity is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress).

A spring is an elastic object used to store mechanical energy. The rate or spring constant of a spring is the change in the force it exerts, divided by the change in deflection of the spring.

Hooke’s law for a spring is often stated under the convention that F is the restoring (reaction) force exerted by the spring on whatever is pulling its free end. In that case the the direction of the restoring force is opposite to that of the displacement.

Hooke’s spring law usually applies to any elastic object, of arbitrary complexity, as long as both the deformation and the stress can be expressed by a single number that can be both positive and negative.

## Variables

x | Distance from Equilibrium (m) |

x0 | Spring Equilibrium Position (m) |

F | Force (N) |

k | Spring Force Constant (N/m) |