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Hooke’s Law Spring Force

Calculate restoring force for a linear elastic spring.

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Local calculations. Results are estimates, not professional advice.

Restoring force

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Linear elastic range only; sign is opposite displacement. Plastic deformation and spring mass are omitted.

Formula

F=−kx

Calculate restoring force for a linear elastic spring.

Worked example

Spring stiffness (N/m)
200
Displacement from equilibrium (m)
0.1
Restoring force
-20 N

Scope and limitations

Linear elastic range only; sign is opposite displacement. Plastic deformation and spring mass are omitted.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 2da2fa262a35 · Example checked:

Methodology

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