Restoring Forces

Springs

Hooke’s Law:

Fs = −kx

where F is force, k is spring constant, and x is spring extension.

the force required to extend a spring is directly proportional to the amount of extension.

This is equally true for spring compression.

The negative for k exists because the k factor is fighting against the force extending the spring: k is the restoring force of the spring.

A limit of proportionality exists:

the maximum stress or force the spring can withstand without undergoing permanent deformation.