Two blocks \( A \) and \( B \) of equal masses \( (m=10 \mathrm{~kg} \) ) are connected by a lig...

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Two blocks \( A \) and \( B \) of equal masses \( (m=10 \mathrm{~kg} \) ) are connected by a light spring of spring constant \( k=150 \mathrm{~N} / \mathrm{m} \). The system is in equilibrium. The minimum value of initial downward velocity \( v_{0} \) of the block \( B \) for which the block \( A \) bounce up is \( \frac{20}{\sqrt{3 n}} \mathrm{~m} / \mathrm{s} \). Find the value of \( n \).
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