Hooke's Law Calculator
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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Fun Fact
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).
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