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Two blocks \( m_{1} \) and \( m_{2} \) are pulled on a smooth horizontal surface; and are joined together with a spring of stiffess \( \boldsymbol{k} \) as
\( \mathrm{P} \) shown in the figure-4.114. Suddenly, the block \( m_{2} \) receives a

W horizontal velocity \( v_{0} \), then the maximum extension \( x_{\max } \) in the spring is :
(A) \( v_{0} \sqrt{\frac{m_{1} m_{2}}{m_{1}+m_{2}}} \)
(B) \( v_{0} \sqrt{\frac{2 m_{1} m_{2}}{\left(m_{1}+m_{2}\right) k}} \)
(C) \( v_{0} \sqrt{\frac{m_{1} m_{2}}{2\left(m_{1}+m_{2}\right) k}} \)
(D) \( v_{0} \sqrt{\frac{m_{1} m_{2}}{\left(m_{1}+m_{2}\right) k}} \)
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