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!