Mechanical Energy: Kinetic Energy (EPE)

Question

A spring with spring constant 275N/m has 25J of EPE stored in it. How much is it compressed? 

Answer 1

Elastic potential energy of a spring = 1/2 (KX²)

Where K = spring constant and X = Extension or compression

X² = 2*EPE /K

X = sqrt ( 2*EPE/K)

X = sqrt (2*25/275) = sqrt(0.1818)= 0.426 m = 0.43 m ( approx)