A body is attached to the lower end of a vertical spiral spring and it is gradually lowered to its equilibrium position.This stretches the spring by a length of x. If the same body attached to the same spring is allowed to fall suddenly,what would be the maximum stretching in this case?

case2:

-1/2 kx2+mgx=0

mgx=1/2kx2

2mg/k=x

initially kx1=mg

.: x₁=mg/k

.: x=2x₁