Formula of Potential Energy of A Spring
The potential energy of a spring is given by,
P.E = ½ k x2
Where,
- k is the spring constant
- x is the spring displacement
Solved Examples
Example 1: Determine the potential energy of a spring whose spring constant is 200 N/m and the displacement is 0.8 m.
Solution:
Given parameters are
k = 200 N/m
x = 0.8 m
The potential energy of a string formula is given by
P.E = 1/2 kx2
P.E = ½ (200 x (0.8)2)
P.E = 64 J
Example 2: The spring constant and displacement of a stretched string is 100 N/m and 0.5 m respectively. Determine the potential energy stored in the stretched string.
Solution:
Given parameters are
k = 100 N/m
x = 0.5 m
Potential energy of a string formula is given by,
P.E = 1/2 kx2
P.E = 1/2 x (100 x (0.5)2)
P.E = 12.5 J