Two identical blocks $A$ and $B$, each of mass $'m'$ resting on smooth floor are connected by a light spring of natural length $L$ and spring constant $K$, with the spring at its natural length. $A$ third identical block $'C'$ (mass $m$) moving with a speed $v$ along the line joining $A$ and $B$ collides with $A$. the maximum compression in the spring is
Two identical blocks $A$ and $B$, each of mass $'m'$ resting on smooth floor are connected by a light spring of natural length $L$ and spring constant $K$, with the spring at its natural length. $A$ third identical block $'C'$ (mass $m$) moving with a speed $v$ along the line joining $A$ and $B$ collides with $A$. the maximum compression in the spring is
- A
$v\sqrt {\frac{m}{{2k}}} $
- B
$m\sqrt {\frac{v}{{2k}}} $
- C
$\sqrt {\frac{{mv}}{k}} $
- D
$\frac{{mv}}{{2k}}$
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