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Science Calculators

Hooke's Law Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
N/m
m
Verified formula Private

Spring force

20.000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Hooke's Law Calculator

The Hooke's Law Calculator works out your spring force in an instant. Enter spring constant (k) and displacement (x) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the spring constant (k).
  2. Enter the displacement (x).
  3. Read off your spring force — the calculator updates automatically, with no button to press.

Formula

The Hooke's Law Calculator uses the formula:

Spring force = Spring constant (k) × Displacement (x)

Worked example

For example, with spring constant (k) of 200 N/m and displacement (x) of 0.1 m, the spring force is 20.000.

Inputs used
Spring constant (k) 200 N/m
Displacement (x) 0.1 m
Results
Spring force 20.000

Results are estimates for educational use, not professional advice.

Key terms explained

Force
A push or pull on an object, equal to mass × acceleration (Newton's second law).

Frequently asked questions

It states the force from a spring is proportional to how far it is stretched or compressed: F = kx. A 200 N/m spring stretched 0.1 m exerts 20 N.

The spring constant k measures stiffness in newtons per metre. A higher k means a stiffer spring that needs more force to stretch.

Only within the elastic limit. Stretch a spring too far and it deforms permanently, so the linear relationship breaks down.

The spring pushes or pulls back toward its rest position, opposing the displacement, which is why real force is often written as F = −kx.

The Hooke's Law Calculator uses the formula: Spring force = Spring constant (k) × Displacement (x). For example, with spring constant (k) of 200 N/m and displacement (x) of 0.1 m, the spring force is 20.000.

Enter the spring constant (k). Enter the displacement (x). Read off your spring force — the calculator updates automatically, with no button to press.

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