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Hooke's Law Calculator

Science & Engineering

F=kx, elastic potential energy

Quick Answer

Hooke's Law Calculator: F=kx, elastic potential energy. Hooke's Law Calculator uses standard science & engineering formulas to compute accurate results instantly.

N/m
m
Force F
5.000 N

Calculation steps

  1. 1Hooke's law: F = k·x (within the elastic limit)
  2. 2F = 100 × 0.05 = 5.000 N
  3. 3Elastic potential energy: E = ½kx² = 0.1250 J
Elastic energy0.1250 J
Two in series50.00 N/m
Two in parallel200.00 N/m

Spring combination rules

ConnectionFormulaEffect
Series (end to end)1/k = 1/k₁ + 1/k₂Softer — like resistors in parallel
Parallel (side by side)k = k₁ + k₂Stiffer — like resistors in series
Cut a spring in halfk' = 2kEach half is twice as stiff
Hooke's law fails beyond the elastic limit: the spring then deforms permanently (plastic region) and finally breaks. The minus sign in F = −kx means the force always opposes displacement — this restoring nature is what makes springs oscillate and is the basis of simple harmonic motion.

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How to Use

  1. Enter known quantities: fill values and confirm units in the Hooke's Law Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Hooke's Law Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: F=kx, elastic potential energy.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Hooke's Law Calculator formula

Hooke's Law Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Hooke's Law Calculator?
Open the page and fill in the input fields — results update automatically. F=kx, elastic potential energy.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Hooke's Law Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/hookes-law

Results provided by this tool are for reference only and do not constitute professional advice.