What Is the Formula for Hooke's Law?

By Staff WriterLast Updated Mar 25, 2020 4:25:33 PM ET

The formula for Hooke's law is given by F = kx, where x is the displacement in the spring in meters, k is the force constant or spring constant and F is the amount of force applied on the spring in Newtons. Hooke's law states that the amount of stress applied on an object to deform it is proportional to the amount of deformation. It can be used to determine the force, displacement and force constant in a stretched spring.


The value of k varies depending on the type of elastic material, its shape and dimensions. It is typically found by carrying out an experiment. Hooke's law hinges on elasticity. Elasticity refers to the property of an object or material that causes it to be restored to its original shape after it has been distorted. The greater the force applied on an elastic material, the more the stretch (compression or deformation) there is. When minimal force is applied, there is minimal deformation in the elastic object.

A deforming force may be applied to an object by twisting, bending, squeezing, compressing or stretching. According to Hooke's law, even a metal wire can exhibit elastic behavior since the small increase in its length is doubled every time the force applied to it doubles. Hooke's law can also be expressed in terms of strain or stress.