Hooke's Law Calculator

About this calculator

This calculator applies Hooke's law, F = kx, to find the restoring force a spring exerts when stretched or compressed by a distance x, where k is the spring constant (stiffness); it also computes the elastic potential energy stored, PE = ½kx². Hooke's law is linear and only holds within a spring's elastic limit — beyond that, the material deforms permanently and the relationship breaks down.

Physics and mechanical engineering students use it for spring and simple-harmonic-motion problems, while mechanical and product designers apply it to size springs in suspensions, scales, mattresses and mechanical assemblies. Enter the spring constant and displacement to get the force and stored energy.