A bag of sand of mass $M$ is suspended by a string. A bullet of mass $m$ is fired at it with velocity $v$ and gets embedded into it. The loss of kinetic energy in this process is
A bag of sand of mass $M$ is suspended by a string. A bullet of mass $m$ is fired at it with velocity $v$ and gets embedded into it. The loss of kinetic energy in this process is
- A
$\frac{1}{2}m{v^2}$
- B
$\frac{1}{2}m{v^2} \times \frac{1}{{M + m}}$
- C
$\frac{1}{2}m{v^2} \times \frac{M}{m}$
- D
$\frac{1}{2}m{v^2}\left( {\frac{M}{{M + m}}} \right)$
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