A spacecraft of mass M moves with velocity V in free space at first, then it explodes…

Physics · JEE Main · NTA ExamsLaws of Motion

A spacecraft of mass M moves with velocity V in free space at first, then it explodes, breaking into two pieces. If after explosion a piece of mass m comes to rest, the other piece of spacecraft will have a velocity :
  1. \(\frac{\mathbf{M V}}{\mathbf{M}-m}\)
  2. \(\frac{\mathbf{M V}}{\mathbf{M}+\mathbf{m}}\)
  3. \(\frac{\mathrm{mV}}{\mathrm{M}-\mathrm{m}}\)
  4. \(\frac{\mathrm{mV}}{\mathrm{M}+\mathrm{m}}\)

Answer

(A) M V M -m

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