mechanics
Hooke's Law Calculator
Solve signed Hooke's law, elastic potential energy, and equivalent series or parallel spring systems.
Calculator
Formula
F = −kx; U = ½kx²; k_parallel = Σk; 1/k_series = Σ(1/k)
- F — Force magnitude
- N
- k — Spring constant
- N/m
- x — Displacement magnitude
- m · cm · km
Assumptions and limits
- Spring constants are positive and springs remain in their linear elastic range.
Example
Worked example
The calculator starts with an editable example.
Sources
- University Physics — OpenStax
Frequently asked questions
Are my inputs uploaded?
No. This calculator runs locally in your browser. Inputs are placed in a URL only when you explicitly copy a share link.
Why are units converted first?
Canonical units prevent scale errors when inputs use mixed units. The result is converted back to your selected output unit afterward.
Does the result replace professional judgment?
No. The result applies only to the stated model and assumptions. Qualified people should review high-risk engineering, medical, or laboratory decisions.