Collision in Spring Mass System!

A spring (spring constant kk) having one end attached to rigid wall & other end attached to a block of mass mm kept on a smooth surface as shown in figure. Initially spring is in its natural length at x=0x = 0, now spring is compressed to x=–ax = -–a and released. (Coefficient of restitution e=12e = \dfrac 1 2 ). If velocity of block just after first collision is ank16m a\sqrt{\frac{nk}{16m}} . Find the value of nn.

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