A bullet of mass $m$ strikes a block of mass $M$ connected to a light spring of stiffness $k,$ with a speed $v_0.$ If the bullet gets embedded in the block then, the maximum compression in the spring is

824-555

  • A

    ${\left( {\frac{{{m^2}v_0^2}}{{(M + m)k}}} \right)^{1/2}}$

  • B

    ${\left( {\frac{{Mmv_0^2}}{{2(M + m)k}}} \right)^{1/2}}$

  • C

    ${\left( {\frac{{mv_0^2}}{{2(M + m)k}}} \right)^{1/2}}$

  • D

    ${\left( {\frac{{Mv^2}}{{(M + m)k}}} \right)^{1/2}}$

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