Blocks \( A \) and \( B \) of mass \( m \) each are connected with ...

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Blocks \( A \) and \( B \) of mass \( m \) each are connected with spring of constant \( k \). Both blocks lie on frictionless ground and
\( \mathrm{P} \) are imparted horizontal velocity \( v \) as shown when spring is unstretched. Find the maximum stretch of spring.
W
(1) \( v \sqrt{\frac{m}{k}} \)
(2) \( v \sqrt{\frac{m}{2 k}} \)
(3) \( v \sqrt{\frac{2 m}{k}} \)
(4) None of the above
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