basic

Hooke's Law Spring Force and Elastic Potential Energy Calculator

F = −kx; PE = ½kx² — spring mechanics.

Calculates spring restoring force F = kx, elastic potential energy PE = ½kx², and oscillation period T = 2π√(m/k) for a mass m on a spring of stiffness k.

Marcus Laurent By Marcus Laurent
Published Last reviewed 1 min read

Inputs

N/m
m
kg

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

F = kx; PE = ½kx²; T = 2π√(m/k)

In depth

Calculates spring restoring force F = kx, elastic potential energy PE = ½kx², and oscillation period T = 2π√(m/k) for a mass m on a spring of stiffness k.