In a free space, a rifle of mass M shoots a bullet of mass m at a stationary block of…

Physics · JEE Advanced · NTA ExamsLaws of Motion

In a free space, a rifle of mass M shoots a bullet of mass m at a stationary block of mass M distance D away from it. When the bullet has moved through a distance d towards the block, the centre of mass of the bullet-block system is at a distance of:
  1. \(\frac{(\mathrm{D}-\mathrm{d}) \mathrm{m}}{\mathrm{M}+\mathrm{m}}\) from the bullet
  2. \(\frac{\mathrm{md}+\mathrm{MD}}{\mathrm{M}+\mathrm{m}}\) from the block
  3. \(\frac{2 m d+M D}{M+m}\) from the bullet
  4. \(\frac{(\mathrm{D}-\mathrm{d}) \mathrm{M}}{\mathrm{M}+\mathrm{m}}\) from the bullet

Answer

(D) ( D - d ) M M + m from the bullet

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