How does the Hooke's Law Calculator work?

Measure the displacement x from the equilibrium (rest) position Then: Multiply by the spring constant k: F = kx Then: Elastic potential energy stored: PE = ½kx² Then: Valid only within the elastic limit — beyond it, the spring permanently deforms.

Can you give an example of how to use the Hooke's Law Calculator?

Example: Input k=200 N/m, x=0.05 m gives a result of F=10 N, PE=0.25 J (200×0.05=10 N).

Is the Hooke's Law Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Hooke's Law Calculator?

Our Hooke's Law Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Praktikal

Hooke's Law Calculator

Spring constant k (N/m)

Extension x (m)

Variable Key

F= force (N)k= spring constant (N/m)x= displacement from equilibrium (m)PE= elastic potential energy (J)

Force

Restoring force exerted by the spring.

Spring constant

Stiffness of the spring — force needed per unit stretch.

Displacement

How far the spring is stretched or compressed.

Elastic potential energy

Energy stored in a compressed or stretched spring.

F= force (N)

k= spring constant (N/m)

x= displacement from equilibrium (m)

PE= elastic potential energy (J)

Hooke's Law states that a spring's restoring force is proportional to displacement: F = kx. The spring constant k (stiffness) determines how much force is needed per unit of stretch or compression.

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Did You Know?

Robert Hooke discovered this relationship in 1678. He first published it as an anagram ("ceiiinosssttuu") to protect his priority — decoded it means "ut tensio, sic vis" (as the extension, so the force).

References

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Hooke's Law Calculator