Two blocks $A$ and $B$ each of mass m are connected by a massless spring of natural length L and spring constant $K$. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block $C$ also of mass $m$ moves on the floor with a speed $v$ along the line joining $A$ and $B$ and collides with $A$. Then
  • AThe kinetic energy of the $A-B$ system at maximum compression of the spring is zero
  • BThe kinetic energy of the $ A-B$ system at maximum compression of the spring is $\frac{m{v^2}}{4}$ 
  • CThe maximum compression of the spring is $v\sqrt {m/2K} $
  • D
    Both (b) and (c)
IIT 1993, Diffcult
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