Mechanics

Hooke's Law

F=kxF = -kx

Spring force is proportional to displacement, opposite in direction.

Variables

F
Spring force
Restoring force
N
k
Spring constant
Spring stiffness
N/m
x
Displacement
Extension from equilibrium
m

Derivation

Empirical law for elastic materials within elastic limit.

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Common questions

What is the Hooke's Law formula?

Hooke's Law is written F = -kx. Spring force is proportional to displacement, opposite in direction. It belongs to Mechanics, under Dynamics.

What are the units in F = -kx?

In SI units, F is spring force, measured in kg·m/s²; k is spring constant, measured in kg/s²; x is displacement, measured in m.

How is the Hooke's Law formula derived?

Empirical law for elastic materials within elastic limit. The result is F = -kx.