Hooke's Law (Spring Force) Calculator
F = −k × x. Spring force is proportional to displacement from equilibrium.
Result
Spring force
-10.0000 N
Magnitude 10.0000 N; direction opposes displacement.
- k200 N/m
- x0.05 m
- F = −kx-10.0000 N
- |F|10.0000 N
- Stored PE = ½ k x²0.250000 J
Step-by-step
- F = −k × x = −200 × 0.05 = -10.0000 N.
- Negative sign indicates restoring force (opposite to displacement).
- Potential energy stored = ½kx² = 0.250000 J.
How to use this calculator
- Enter spring constant k and displacement x.
- Read force and stored PE.
About this calculator
Hooke's Law: spring force is proportional to displacement from equilibrium, in the opposite direction. Valid only within elastic region — past yield point, spring deforms permanently. Energy stored = ½ k x² (parabolic in x). Used in springs (door closers, mattresses, vehicle suspensions), atomic bonds at small displacements (molecular vibrations), and any restoring system (pendulums approximate Hooke at small angles).
Frequently asked
Force opposes displacement. Push spring right (positive x), force pushes back left (negative). Sign convention.
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