Answers is 1 (kA^2)/8
Explanation:
Total energy= PEmax on the spring = KEmax of the object
Total Energy= Kinetic Energy + Potential Energy
Therefore, At v or x not maximum.
Using the above one
E= 3/4 E + PE (potential energy)
PE = 1/4 E
PEmax =E = 1/2 kA^2
PE=E/4
PE=(1/2)kA^2 / 4
PE= kA^2/8