 Top

Elastic Potential Energy Calculator
Top
Elastic Potential Energy Calculator is an online tool for calculating Elastic Potential Energy easily. It takes the inputs and calculates the Elastic Potential Energy, so it is handy for solving problems requiring Elastic Potential Energy Calculations.

## Step by Step Calculation

Step 1 :

Elastic Potential Energy Formula:

Spring Potential Energy:U = (1/2)*(k)*(x)2
Spring Force Constant:k = 2U/(x)2
Spring Stretch Length:x = square root of(2U/k)
Where,
U = Spring Potential Energy,
k = Spring Force Constant,
x = Spring Stretch Length.

Step 2 :

State the equation you plan to use and plug in the values.

## Example Problems

1. ### A compressed spring that obeys Hooke's law has a spring constant of 532 N/m and the distance by which the spring is compressed is 0.33m, then calculate the potential energy of the spring?

Step 1 :

Given that:
Spring Force Constant(k) = 532 N/m
Spring Stretch Length(x) = 0.33m
Spring Potential Energy(U) = ?

Step 2 :

Substitue the given values in the formula:
Spring Potential Energy:U = (1/2)*(k)*(x)2
U = (1/2)*(532)*(0.33)2
U = 28.967 J

U = 28.967 J

2. ### A spring has a force constant of 400 N/m. How far must it be stretched for it's potential energy to be 28J?

Step 1 :

Given that:
Spring Force Constant(k) = 400 N/m
Spring Potential Energy(U) = 28J
Spring Stretch Length(x) = ?

Step 2 :

Substitue the given values in the formula:
Spring Stretch Length:x = square root of(2U/k)
x = square root of((2×28)/400)
x = square root of(0.14)
x =  0.374m