A bullet of mass $m$ moving with velocity $v$ strikes a block of mass $M$ at rest and gets embedded into it. The kinetic energy of the composite block will be

  • A

    $\frac{1}{2}m{v^2} \times \frac{m}{{(m + M)}}$

  • B

    $\frac{1}{2}m{v^2} \times \frac{M}{{(m + M)}}$

  • C

    $\frac{1}{2}m{v^2} \times \frac{M+m}{{(M)}}$

  • D

    $\frac{1}{2}m{v^2} \times \frac{2m}{{( M+m)}}$

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