As shown above, object \(A\) with mass \(2\) kg is fixed on the right end of a spring, the other end of which is fixed on the left wall. It takes \(10\) N of force to stretch this spring by \(0.1\) m. Now, another object \(B\) with the same mass is moving towards \(A.\) If the two objects collide and are agglomerated as one body, then how long will it take for the one body to reach the maximum compression?

Ignore the frictional force.

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