Elastic Potential Energy is the energy stored for strecthing or compressing an elastic object with an external force. Consider a helical spring and to stretch or compress it you need to do some work to provide it with some energy. This energy is stored in the spring and when released it comes to equilibrium state. Elastic Potential Energy is always positive.

Elastic Potential Energy is given by the formula U = ½kΔx^{2}

Where K is the Spring Constant. It is a propotionality constant that denotes the relation between strain in the spring and force that caused it.

Δx is the spring deformation and is expressed in units meters.

U is the Elastic Potential Energy in Joules

Follow the simple procedure listed below to know the procedure on how to find the elastic potential energy of a spring. They are as such

- Determine the spring constant k initially.
- Later, determine how far you want to stretch or compress the spring i.e. Δx
- Since you are aware of the parameters substitute them in the formula for Elastic Potential Energy i.e.U = ½kΔx
^{2} - Simplify the result further and find out the energy.

**Example**

A compressed spring has the potential energy of 10 J and its spring constant is 150 N/m. Calculate the deformation of the spring?

**Solution:**

Given that

Potential Energy U = 10 J

Spring Constant k = 150 N/M

Deformation of Spring = ?

We know formula to find elastic potential energy U = ½kΔx^{2}

Substituting the inputs we have the equation as follows

10 J = ½*150 N/m Δx^{2}

On further simplifying we have Δx = 0.3651484 m

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**1. What is K in Elastic Potential Energy?**

K is the Spring Constant in Elastic Potential Energy./p>

**2. What is the Formula for Elastic Potential Energy?**

Elastic Potential Energy can be found using the formula U = ½kΔx^{2}

**3. Is Potential Energy always positive?**

Since the motion involves net increase in potential energy. Thus, change in potential energy is always positive.

**4. What are Examples of Elastic Potential Energy?**

Objects such as archer's stretched bow, bent diving board, twisted rubber band, etc. store elastic potential energy.