Hooke's Law Force Calculator

About this calculator

Hooke's Law states that the force a spring exerts is directly proportional to how far it's stretched or compressed from its natural length: F = k·x, where k is the spring constant (stiffness, in N/m) and x is the displacement. This calculator applies that formula to find the restoring force, and also computes the elastic potential energy stored in the spring, ½·k·x², the work done to deform it.

Hooke's Law is a foundational relationship in introductory physics and mechanical engineering, underlying the design of everything from vehicle suspension springs and mattress coils to force sensors and mechanical scales. Engineers use it to select a spring constant that gives the right stiffness for an application, while physics students use it to connect force, energy, and simple harmonic motion — since a mass on a Hooke's-Law spring oscillates with a period set entirely by k and the mass.