Vietnam University entrance Exam problem (Don't be fooled)

A light springs have stiffness coefficient \(K=20\text{ N/m}\) hanging on to a fixed point, the lower of a string attaching small object \(A\) weighing \(100\text{ g}\); \(A\) is connected to a small object \(B\) weighing \(100\text{ g}\) with a soft rope, piece, lightweight, non-stretch and long enough. From the equilibrium position of the system, pull down \(B\) vertically to \( 20 \text{ cm}\) and then release with zero initial velocity. When object B began to reverse its movement, it suddenly slip from rope. Ignore any obstacles, take \(g = 10\text{ m/s}^2\). The time between when the object \(B\) were come out off the rope until fall to the initial position when \(B\) was released is?

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