Estimate spring energy with precise inputs and instant outputs. Compare force, extension, formulas, and graphs. Export results for reports and physics learning.
Elastic potential energy is the energy stored in a stretched or compressed spring. For a linear spring, the stored energy depends on spring stiffness and the square of extension.
Elastic potential energy: E = 1/2 kx²
Force in the spring: F = kx
Energy using average force: E = 1/2 Fx
| Case | Spring Constant (N/m) | Extension (m) | Force (N) | Elastic Potential Energy (J) |
|---|---|---|---|---|
| Small lab spring | 120 | 0.05 | 6.00 | 0.15 |
| Medium spring | 250 | 0.12 | 30.00 | 1.80 |
| Heavy spring | 500 | 0.08 | 40.00 | 1.60 |
| Compressed spring | 900 | 0.03 | 27.00 | 0.405 |
Elastic potential energy is stored when an elastic object changes shape. Springs store this energy during stretching or compression, then release it when returning toward the original length.
For a linear spring, the standard formula is E = 1/2 kx². Here, k is the spring constant and x is the extension or compression from equilibrium.
Force rises linearly as the spring stretches. Because energy equals the area under the force-extension graph, the extension term becomes squared in the final equation.
Yes. The same formula applies to compression for an ideal spring. Enter the magnitude of displacement from the natural length, and the calculator determines stored energy.
Use newtons per meter for spring constant, meters for extension, and joules for energy. This calculator also converts common alternatives like centimeters, millimeters, inches, and pounds-force.
The spring constant measures stiffness. A larger value means more force is required for the same extension, and the spring stores energy faster as displacement increases.
It is accurate for ideal linear springs obeying Hooke's law. Real materials may deviate when stretched too far, heated, damaged, or used outside the elastic region.
Force helps verify the physical state of the spring, while work matches stored energy for ideal loading. These outputs give a more complete picture of the elastic system.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.