Physics Tool
Hooke's Law Calculator
Calculate the force exerted by a spring when it is compressed or stretched.
Restoring Force (F)
50.00 N
Potential Energy (U)
2.500 J
Note: Force is usually written as F = -kx to indicate the force acts in the opposite direction of displacement.
Σ The Formula
F = k × x
Real World Examples
Standard Spring
A spring with k=500 N/m stretched by 0.1m exerts a force of 50N.
Shock Absorber
Stiffer springs have higher 'k' values, requiring more force for the same displacement.
# About This Calculator
Hooke's Law states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with that distance.
The formula is F = kx, where k is a constant characteristic of the spring (its stiffness).
How To Use
- Enter the **Spring Constant (k)** in Newtons per meter (N/m).
- Enter the **Displacement (x)** in meters (how much the spring is stretched or compressed).
- The result shows the **Restoring Force** and the **Elastic Potential Energy** stored.
Frequently Asked Questions
What is the elastic limit?+
Hooke's Law only applies within the 'elastic region'. If you stretch a spring too far, it will permanently deform and no longer follow the linear F=kx relationship.
Is Hooke's Law Calculator free to use?+
Yes, Hooke's Law Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Hooke's Law Calculator?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Hooke's Law Calculator are accurate for academic and professional use.
Can I use Hooke's Law Calculator on my phone?+
Yes! Hooke's Law Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
How do I report a bug?+
If you notice any issues with Hooke's Law Calculator or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!
About
Hooke's Law states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with that distance.
The formula is F = kx, where k is a constant characteristic of the spring (its stiffness).