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5.Work, Energy, Power and Collision
hard
Two identical blocks $A$ and $B$ each of mass $m$ resting on the smooth horizontal floor are connected by a light spring of natural length $L$ and spring constant $K$. A third block $C$ of 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
$v\sqrt{\frac{ M }{2 K }}$
B
$\sqrt{\frac{ mv }{2 K }}$
C
$\sqrt{\frac{ mv }{ K }}$
D
${\sqrt{\frac{ m }{2 K }}}$
(JEE MAIN-2021)
Solution
$C$ comes to rest
$V_{c m}$ of $A \& B=\frac{v}{2}$
$\Rightarrow \frac{1}{2}$ is $v _{ ret }^{2}=\frac{1}{2} kx ^{2}$
$x=\sqrt{\frac{\mu \times v^{2}}{k}}=\sqrt{\frac{m}{2 k}} v$
Standard 11
Physics
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