Hooke’s Law Calculator
Calculate the signed restoring force of an ideal spring from stiffness and deformation.
Formula
Fspring = −kx; k in N/m, x in m.
Restoring force ≈ -(200)×(0.1)
How to use
- Enter spring stiffness in N/m.
- Enter signed deformation from relaxed length.
- Read restoring force opposite to deformation.
Examples
- k = 400 N/m and compression x = −0.03 m give +12 N.
Frequently asked questions
Why is there a minus sign?
The spring force points toward its relaxed length, opposing deformation.
Is this the applied holding force?
No. A balancing applied force has the same magnitude and opposite sign.
Does it apply after permanent deformation?
No. Use only the spring’s linear elastic range.
Sources
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