Physics Hooke’s Law Force

Ideal linear spring force magnitude. Distinct from weight (mg) and from F = ma.

Force magnitude = spring constant × extension.

Tip: Keep “Spring Constant (k)” and “Extension / Compression (x)” on the same basis (period, units, and population) before calculating Physics Hooke’s Law Force.

Cluster: Physics hub · F = ma · Mechanical power · Academic hub · Percentage guide

Hooke’s law (ideal spring) relates restoring force magnitude to spring constant and extension.

Enter k and extension/compression in consistent units.

Spring constant
Displacement from equilibrium

Spring Force

Understanding Physics Hooke’s Law Force

How we calculate. Force magnitude = spring constant × extension. The form uses the same arithmetic as the worked examples on this page. See our methodology and accuracy policy.

Real-world scenario: A typical Physics Hooke’s Law Force case uses spring constant (k) 200 and extension / compression (x) 0.15. Enter the same figures below to reproduce the worked path.

What is Physics Hooke’s Law Force?

Ideal linear spring force magnitude. Distinct from weight (mg) and from F = ma.

  • k in N/m
  • x = extension or compression
  • Direction opposite extension

The Formula

Hooke’s Law
F = k × x

Worked Example

Scenario: k = 200 N/m; x = 0.15 m.
Step 1: 200 × 0.15 = 30
Answer: Spring force magnitude is 30 N.

Common Use Cases

  • Homework: spring problems
  • Lab: spring constant checks
  • Study: SHM setups

Pro Tips

  • Convert cm to m
  • Pair with weight
  • Ideal spring assumption

Limitations: Physics Hooke’s Law Force results are educational physics study aids—not engineering certification, lab accreditation, or safety advice. Use consistent SI (or clearly labeled) units and confirm formulas with your textbook or instructor.

FAQ

Does this include the minus sign?

This page returns magnitude F = kx. The restoring force direction is opposite the extension.

What if x is 0?

Force is 0 for zero extension in Hooke’s law.

Authoritative References

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