Two blocks m 1 and m 2 are pulled on a smooth horizontal surface, and are joined together…

Physics · JEE Advanced · NTA ExamsLaws of Motion

Two blocks m1 and m2 are pulled on a smooth horizontal surface, and are joined together with a spring of stiffness k as shown. Suddenly, block m2 receives a horizontal velocity v0, then the maximum extension xm in the spring is
\[\text { m:-ணைம்பை }\]
  1. \(v_{0} \sqrt{\frac{m_{1} m_{2}}{m_{1}+m_{2}}}\)
  2. \(v_{0} \sqrt{\frac{2 m_{1} m_{2}}{\left(m_{1}+m_{2}\right) k}}\)
  3. \(v_{0} \sqrt{\frac{m_{1} m_{2}}{2\left(m_{1}+m_{2}\right) k}}\)
  4. \(v_{0} \sqrt{\frac{m_{1} m_{2}}{\left(m_{1}+m_{2}\right) k}}\)

Answer

(D) v_ 0 m_ 1 m_ 2 (m_ 1 +m_ 2 ) k

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