Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023

The Elastic Potential Energy Calculator is a free online tool that displays the spring potential energy after entering data into the appropriate fields and pressing the calculate button. The online calculator is completely free to use and greatly simplifies your calculations.

Spring force constant (k):
Spring stretch length (Δx)
Spring potential energy (U)

### What is meant by Elastic Potential Energy?

The energy held for stretching or compressing an elastic item with an external force is known as elastic potential energy. Consider a helical spring: to stretch or compress it, you must exert some effort to provide it with energy. This energy is stored in the spring, and when it is released, it returns to a condition of equilibrium. Positive elastic potential energy is always present.

### Elastic Potential Energy of a Spring Formula

The formula for Elastic Potential Energy is as follows: U = ½kΔx^2

The Spring Constant is denoted by the letter K. It's a proportionality constant that expresses the relationship between spring strain and the force that created it.

• Δx = spring deformation and it is expressed in units meters.
• U = Elastic Potential Energy and it is expressed in Joules.

### How to Calculate Spring's Potential Energy?

To learn how to calculate a spring's elastic potential energy, follow the easy steps outlined below. As so, they are.

• Step 1: To begin, determine the spring constant k.
• Step 2: Decide how much you want to stretch or compress the spring afterwards, i.e. x
• Step 3: Even though you have the values, use them in the formula for Elastic Potential Energy, i.e. U = ½kΔx^2
• Step 4: Simplify the result even more to determine the energy.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### What is the Elastic Potential Energy Calculator and How Do I Use It?

The following is the procedure how to use the elastic potential energy calculator:

• Step 1: In the input field, enter the spring constant, deformation of the spring, and x for the unknown value.
• Step 2: To acquire the result, click the "Calculate the Unknown" button.
• Step 3: Finally, in the output field, the elastic potential energy will be displayed.

### Elastic Potential Energy Examples

Question 1: The potential energy of a compressed spring is 15 J, and its spring constant is 180 N/m. Calculate the spring's deformation?

Solution:

Given:

Potential Energy U = 15 J

Spring Constant k = 180 N/M

To find: Deformation of Spring

Elastic potential energy U = ½kΔx^2

Put the inputs, we get the following equation;

15 J = ½ x 180 N/m Δx^2

Δx = 0.408248 m

### FAQs on Elastic Potential Energy

1. How do you calculate elastic potential energy?

Elastic potential energy is equal to the force multiplied by the movement distance. Elastic potential energy is equal to the force multiplied by the displacement distance.

2. What is the formula for elastic potential energy?

The formula to find elastic potential energy U = ½kΔx^2.

3. How do you handle situations involving elastic potential energy?

The following equation can be used to calculate the amount of elastic potential energy stored in a stretched spring: spring constant = 0.5 elastic potential energy (extension)

4. How much energy does a spring store?

90 joules energy is stored in a spring.

5. What Does Elastic Potential Energy Mean?

The elastic potential energy is defined as the potential energy held when an elastic item is stretched or compressed by an external force.

6. Is it true that Potential Energy is always positive?

Because the motion is accompanied by a net gain in potential energy. As a result, potential energy changes are always positive.