Elastic Potential Energy Calculation  

Spring Force Constant:
k = 2u / x^{2}
Spring Stretch Length:
x = √(2U/k)
Where,
U = Spring Potential Energy,
k = Spring Force Constant,
x = Spring Stretch Length.
Example:
Calculate the Spring Potential Energy (U) for the given details.
Spring Force Constant (k) = 25 N/m
Spring Stretch Length (x) = 15 m
Solution:
Apply Formula:
U = ½ kx^{2}
U = ½*25*15^{2}
U = ½ *25*225
U = ½*5625
U = 2812.5
Spring Potential Energy (U) = 2812.5