

How to Calculate Elastic Potential Energy with Formula and Examples
Elastic Potential Energy Calculator
What is Elastic Potential Energy Calculator?
The Elastic Potential Energy Calculator is a simple online tool that quickly finds the energy stored in a stretched or compressed object such as a spring or elastic band. By entering the values for the spring constant and the displacement, this calculator provides the exact amount of potential energy stored due to deformation.
This calculator helps physics students, teachers, and engineering enthusiasts instantly determine elastic potential energy, making learning and problem-solving faster and easier. It is especially useful for those following CBSE, ICSE, or other competitive syllabi where calculations like these are common.
Formula or Logic Behind Elastic Potential Energy Calculator
The fundamental formula used is:
EPE = ½ × k × x²
Here, EPE is the elastic potential energy in Joules, k is the spring constant measured in Newtons per meter (N/m), and x is the extension or compression in meters.
This logic is based on Hooke's Law, which describes the force needed to stretch or compress a spring, and the work done (energy stored) in the process. The factor of ½ arises because the force increases linearly from 0 to maximum value as the spring is stretched.
Elastic Potential Energy for Different Values of k and x
Spring Constant k (N/m) | Extension x (m) | Elastic Potential Energy (J) |
---|---|---|
50 | 0.1 | 0.25 |
100 | 0.2 | 2.00 |
150 | 0.3 | 6.75 |
200 | 0.4 | 16.00 |
Steps to Use the Elastic Potential Energy Calculator
- Enter the required number or values for the spring constant and extension/compression.
- Click on the 'Calculate' button.
- Get instant results, including a step-by-step working and final energy in Joules.
Why Use Vedantu’s Elastic Potential Energy Calculator?
Easy to use, mobile-friendly, and offers real-time answers tailored for students and professionals. Vedantu’s calculator comes with step-by-step solutions, making it ideal for revision, homework, or exam preparation. Solutions are based on trusted physics concepts reviewed by experienced teachers.
As a student, you can also use calculators like Kinetic Energy Calculator or Gravitational Potential Energy Calculator to expand your learning across energy concepts.
Real-life Applications of Elastic Potential Energy Calculator
This calculator is useful in academic physics for solving board and competitive exam problems. In engineering, it helps design suspension systems, trampolines, and safety devices. Elastic potential energy also plays a role in archery, watches, automotive shock absorbers, and many other mechanisms where energy is stored and released through stretching.
Whether you are measuring energy in rubber bands, springs, or mechanical systems, this quick calculation is essential in both daily life and industry. For academic queries, you might also find Square Root Calculator or HCF Calculator helpful for related topics.
FAQs on Elastic Potential Energy Calculator
1. What is elastic potential energy?
2. What is the formula for calculating elastic potential energy?
3. How do I use the spring constant (k) in the elastic potential energy formula?
4. What is the difference between elastic potential energy and kinetic energy?
5. What are some real-world examples of elastic potential energy?
6. How is elastic potential energy related to Hooke's Law?
7. What are the units for elastic potential energy, spring constant, and displacement?
8. Why is the elastic potential energy formula 1/2kx²?
9. Can elastic potential energy be negative?
10. How can I calculate the spring constant (k) if I know the elastic potential energy and displacement?
11. What happens to the elastic potential energy when a spring is fully compressed?

















