Formulas & tables/Physics/Dynamics/Elastic force (Hooke's law)

Elastic force (Hooke's law)

F=kxF=k x

Result unit: N (newton)

What it describes

Hooke's law — the elastic force grows in proportion to the deformation.

Symbols

FF
elastic force
[N]
kk
spring constant
[N/m]
xx
extension (deformation)
[m]

Where it comes from

A spring exerts a force that grows the more you deform it — in proportion to the extension. The force is restoring: directed opposite to the deformation.

When to use it

Springs, spring balances, oscillations — up to the material's elastic limit.

Example

A spring with constant k=200k=200 N/m is stretched by 0.1 m. Find the elastic force.
Substitutionk=200k=200 N/m, x=0.1x=0.1 m.
ResultF=200⋅0.1=20F=200\cdot0.1=20 N.

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