Physics Tool
Elastic Potential Energy
Calculate the energy stored in a spring or elastic material when it is stretched or compressed.
Stored Energy
2.5000Joules
Σ The Formula
PE = 1/2 × k × x²
Real World Examples
Heavy Spring
k=500 N/m, x=0.1m → PE = 2.5 Joules.
Archery Bow
Understanding how much energy is stored in a drawn bowstring.
# About This Calculator
Elastic Potential Energy is the energy stored as a result of applying a force to deform an elastic object. The energy is stored until the force is removed and the object springs back to its original shape, doing work in the process.
Hooke's Law and this energy formula are essential for:
- Mechanical Engineering: Designing suspension systems and safety buffers.
- Ballistics: Calculating power for catapults or bow systems.
- Clockmaking: Managing energy in mainsprings.
How To Use
- Enter the **Spring Constant (k)** in Newtons per meter (N/m).
- Enter the **Displacement (x)** in meters (m) - the distance stretched or compressed.
- The **Potential Energy** in Joules (J) is calculated instantly.
- Note that because displacement is squared, doubles the stretch results in four times the energy.
Frequently Asked Questions
What is a Spring Constant?+
The spring constant (k) is a measure of how 'stiff' the spring is. A higher k means it takes more force to stretch the same distance.
Can I use centimeters?+
Ensure your units are consistent! If you use N/m, your displacement must be in meters for the result to be in Joules.
Is Elastic Potential Energy free to use?+
Yes, Elastic Potential Energy on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Elastic Potential Energy?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Elastic Potential Energy are accurate for academic and professional use.
Can I use Elastic Potential Energy on my phone?+
Yes! Elastic Potential Energy 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.
About
Elastic Potential Energy is the energy stored as a result of applying a force to deform an elastic object. The energy is stored until the force is removed and the object springs back to its original shape, doing work in the process.
Hooke's Law and this energy formula are essential for:
- Mechanical Engineering: Designing suspension systems and safety buffers.
- Ballistics: Calculating power for catapults or bow systems.
- Clockmaking: Managing energy in mainsprings.