MasterTool

Hooke's Law Calculator

Calculate hooke's law instantly in your browser — the published formula, worked locally with no data sent anywhere.

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What this tool does

Calculate hooke's law instantly in your browser — the published formula, worked locally with no data sent anywhere. Valid only below the spring's elastic (proportionality) limit — beyond it the spring deforms permanently and F = kx no longer holds. Extension is measured from the natural (unstretched) length.

How to use the Hooke's Law Calculator

  1. Enter or select solve for.
  2. Enter or select spring constant k (n/m).
  3. Enter or select extension x (m).
  4. Enter or select spring force f (n).
  5. Read the calculated result; change any measurement to compare alternatives.

Formula

Hooke's law: F = k × x within the elastic limit; the energy stored is ½·k·x².
solve
Solve for
k
Spring constant k (N/m)
x
Extension x (m)
forceN
Spring force F (N)

Valid only below the spring's elastic (proportionality) limit — beyond it the spring deforms permanently and F = kx no longer holds. Extension is measured from the natural (unstretched) length.

Worked example

For hooke's law calculator, the following measurements illustrate the exact method: Solve for: force; Spring constant k (N/m): 200; Extension x (m): 0.1; Spring force F (N): 20.

Inputs

  • Solve forSpring force
  • Spring constant k (N/m)200
  • Extension x (m)0.1
  • Spring force F (N)20

Result

  • Spring force F (N)20
  • Stored energy (J)1

Results explained

Spring force F (N)
Spring force F (N) from the formula above. Valid only below the spring's elastic (proportionality) limit — beyond it the spring deforms permanently and F = kx no longer holds. Extension is measured from the natural (unstretched) length.
Stored energy (J)
Stored energy (J) from the formula above. Valid only below the spring's elastic (proportionality) limit — beyond it the spring deforms permanently and F = kx no longer holds. Extension is measured from the natural (unstretched) length.

Frequently asked questions

Hooke's law: F = k × x within the elastic limit; the energy stored is ½·k·x².

Valid only below the spring's elastic (proportionality) limit — beyond it the spring deforms permanently and F = kx no longer holds. Extension is measured from the natural (unstretched) length.

Every field is labelled with its unit — enter values in exactly the labelled unit and read the result in the labelled output unit. Fields with a unit symbol also support the site-wide imperial/metric switch, which converts before the formula runs.

It uses double-precision arithmetic and the published constants and formulas named on this page. The last displayed digit may be rounded, and real conditions can differ from the idealized model described in the assumptions.

Yes. Every calculation runs entirely in your browser; nothing you enter is uploaded, stored or shared.