Elastic Potential Energy Calculator

How to Use the Calculator

1. Enter the spring constant (k) in Newtons per meter (N/m). This measures the stiffness of the spring.
2. Enter the displacement (x) in meters (m). This is the distance the spring is stretched or compressed from its equilibrium position.
3. Click the "Calculate" button to compute the elastic potential energy.
4. The result will be displayed in Joules (J).

Working Principle

Elastic potential energy is the energy stored in a deformed elastic material, such as a stretched or compressed spring. It is calculated using Hooke's Law, which states that the force required to stretch or compress a spring is proportional to the displacement from its equilibrium position.

Example

If a spring with a spring constant of 200 N/m is stretched by 0.1 meters, the elastic potential energy stored in the spring would be:

E = 0.5 × 200 × (0.1)² = 0.5 × 200 × 0.01 = 1 Joule

Applications

This calculator can be used in physics education, mechanical engineering, and everyday applications involving springs such as:

• Designing shock absorbers in vehicles
• Understanding the mechanics of trampolines
• Calculating the energy stored in弹簧 toys and mechanical devices