# Elastic Potential Energy Calculator

Instructions:
• Enter the spring constant, compression, and mass.
• Select the unit of measurement from the dropdown.
• Click "Calculate" to calculate the elastic potential energy, gravitational potential energy, and total energy.
• View the results along with detailed explanations and formulas.
• Use the "Copy Results" button to copy the results to the clipboard.
• Explore your calculations with the dynamic chart.
• Clear the inputs and results using the "Clear Inputs" button.

The Elastic Potential Energy (EPE) Calculator is a tool that helps calculate the potential energy stored in an elastic object when it is deformed. It is a useful tool for individuals and businesses to make informed decisions about using elastic objects. The EPE considers the object’s deformation, which is not reflected in the object’s potential energy.

## Concepts

The EPE is a measure of the potential energy stored in an elastic object when it is deformed. It is calculated by taking into account the deformation of the object. The elastic object can be deformed and return to its original shape when the force is removed. The object’s potential energy is stored until the force is removed and the object returns to its original shape, doing work in the process. The deformation could involve compressing, stretching, or twisting the object. Many objects are designed specifically to store elastic potential energy, for example:

• The coil spring of a wind-up clock
• An archer’s stretched bow
• A bent diving board, just before a diver’s jump
• The twisted rubber band that powers a toy airplane
• A bouncy ball, compressed at the moment it bounces off a brick wall.

An object designed to store elastic potential energy will have a high elastic limit; however, all elastic objects have a limit to the load they can sustain. When deformed beyond the elastic limit, the object will no longer return to its original shape.

## Formulae

The formula for calculating the EPE is as follows:

EPE = 1/2 * k * x^2

Where:

• EPE is the elastic potential energy
• k is the spring constant
• x is the displacement of the spring from its equilibrium position

For example, if the spring constant is 10 N/m and the displacement of the spring from its equilibrium position is 0.1 m, then the EPE can be calculated as follows:

EPE = 1/2 * 10 * (0.1)^2 = 0.05 J

## Benefits

The EPE Calculator has several benefits, including:

• Helps individuals and businesses make informed decisions about the use of elastic objects
• Provides a more accurate measure of the potential energy stored in an elastic object when it is deformed
• Helps compare different elastic objects
• Helps identify the best elastic object based on the EPE

## Interesting Facts

• The EPE is also known as the spring potential energy.
• The EPE is always proportional to the square of the spring’s displacement from its equilibrium position.
• The EPE is used to calculate the potential energy stored in an elastic object when it is deformed.

Last Updated : 11 December, 2023

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