Spring Potential Energy Calculator

Enter a spring constant and displacement to instantly calculate the elastic potential energy stored in a spring.

Inputs

N/m

Force per unit displacement. Must be > 0.

Stretch or compression from natural length. Direction does not affect result.

Enter a spring constant and displacement, then click Calculate Energy.

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Summary

Enter a spring constant and displacement to instantly calculate the elastic potential energy stored in a spring.

How it works

  1. Enter the spring constant (k) in newtons per meter (N/m).
  2. Enter the displacement (x) — how far the spring is stretched or compressed — in meters.
  3. The calculator evaluates E = 0.5 × k × x² and displays the result in joules.
  4. A step-by-step breakdown shows each substitution so you can follow the math.
  5. Use the unit toggles to enter displacement in centimeters or millimeters; conversion is automatic.

Use cases

  • Physics homework problems involving springs and elastic energy.
  • Engineering design — estimating energy stored in suspension or mechanical springs.
  • Checking hand calculations for Hooke's Law assignments.
  • Teaching aid for introductory mechanics and energy conservation lessons.
  • Robotics and mechatronics — sizing spring-loaded actuators.
  • Calculating recoil energy in spring-powered devices.

Frequently Asked Questions

Last updated: 2026-06-11 · Reviewed by Nham Vu