Hooke's Law Calculator
Spring Force and Energy
Calculate spring force, spring constant, displacement, and elastic potential energy using Hooke's Law: F = kx.
Spring Parameters
N/m
Stiffness of the spring
m
Distance from equilibrium position
Hooke's Law
F = kx
PE = ½kx²
where: F = force, k = spring constant, x = displacement
Note
Hooke's Law applies to elastic deformation within the elastic limit. Beyond this limit, the spring may deform permanently.
Example Springs
Car Suspension
k ≈ 20,000-30,000 N/m
Mattress Spring
k ≈ 500-1,000 N/m
Slinky Toy
k ≈ 1-3 N/m
About Hooke's Law
Hooke's Law states that the force needed to extend or compress a spring is proportional to the displacement from its equilibrium position.
- Force proportional to displacement
- Negative sign indicates restoring force
- Valid within elastic limit
Applications
- Vehicle suspension systems
- Mechanical watches and clocks
- Weighing scales
- Shock absorbers
- Seismometers
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