Two blocks of mass $2 \ kg$ and $1 \ kg$ are connected by an ideal spring on a rough surface. The spring is unstretched. The spring constant is $8 \ N/m$. The coefficient of friction is $\mu = 0.8$. Now,the $2 \ kg$ block is imparted a velocity $u$ towards the $1 \ kg$ block. Find the maximum value of velocity $u$ of the $2 \ kg$ block such that the $1 \ kg$ block never moves.
- A$\sqrt{10} \ m/s$
- B$\sqrt{15} \ m/s$
- C$\sqrt{20} \ m/s$
- D$\sqrt{30} \ m/s$
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