**Understanding Elastic Potential Energy and Building an Elastic Potential Energy Calculator**

Elastic potential energy is a fundamental concept in physics that helps us understand the energy stored in objects when they are stretched or compressed. This energy is a result of a force acting on an object, causing it to deform. In this article, we will delve into the details of elastic potential energy, including its components and equations. We will also guide you through creating your own Elastic Potential Energy Calculator using HTML and JavaScript.

**Understanding Elastic Potential Energy**

Elastic potential energy, denoted as PE, is the energy stored in an object when it is subjected to deformation by a force. This force can be due to stretching, compressing, or bending. The key components of elastic potential energy are:

**1. Spring Constant (k) (N/m):** The spring constant, represented by ‘k,’ measures the stiffness or rigidity of the material or system causing the deformation. A higher spring constant indicates a stiffer material, meaning it requires more force to produce the same deformation.

**2. Displacement (y) (meters):** Displacement, denoted as ‘y,’ represents the change in position of the object from its equilibrium or rest position. It can be either positive (stretching) or negative (compression) depending on the direction of the force.

**3. Potential Energy (PE) (Joules):** The potential energy of the system is the energy stored due to the deformation of the object. It is calculated using the equation:

$PE=21 ky_{2}$

Where:

- $PE$ is the potential energy in Joules (J).
- $k$ is the spring constant in Newtons per meter (N/m).
- $y$ is the displacement in meters (m).

This equation demonstrates that potential energy increases with both the square of the displacement and the spring constant.

**Building an Elastic Potential Energy Calculator**

Now, let’s create a simple Elastic Potential Energy Calculator using HTML and JavaScript. This will allow you to input the values of the spring constant and displacement and obtain the potential energy.

**Conclusion**

Understanding elastic potential energy and its components is crucial in various fields of science and engineering. You can use the Elastic Potential Energy Calculator we’ve created to quickly determine potential energy values for different scenarios involving elastic deformation.