Elastic Potential Energy Calculator Formula
Understand the math behind the elastic potential energy calculator. Each variable explained with a worked example.
Formulas Used
Elastic Potential Energy
elastic_pe = 0.5 * spring_constant * pow(displacement, 2)Variables
| Variable | Description | Default |
|---|---|---|
spring_constant | Spring Constant (k)(N/m) | 200 |
displacement | Displacement from Equilibrium(m) | 0.1 |
How It Works
Elastic Potential Energy
Energy stored in a deformed elastic object (like a spring) follows Hooke's law.
Formula
PE = (1/2) * k * x²
where k is the spring constant and x is the displacement from the natural length.
Worked Example
A spring with k = 200 N/m is compressed 0.1 m.
- 01PE = 0.5 * k * x²
- 02PE = 0.5 * 200 * 0.01
- 03PE = 1 J
Frequently Asked Questions
What is a spring constant?
The spring constant k (units: N/m) measures stiffness. A higher k means a stiffer spring that requires more force per unit of displacement.
Does compression or extension matter?
No. The energy formula uses x², so the same magnitude of compression or extension stores the same energy.
What is Hooke's law?
Hooke's law states F = -k*x, meaning the restoring force is proportional to displacement. It holds for small deformations.
Ready to run the numbers?
Open Elastic Potential Energy Calculator