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Laws Of Motion

Question
CBSEENPH11020425

Consider a two-particle system with particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

  • straight m subscript 1 over straight m subscript 2 straight d
  • straight m subscript 2 over straight m subscript 1 straight d
  • d

  • fraction numerator straight m subscript 1 over denominator straight m subscript 1 plus straight m subscript 2 end fraction space straight d

Solution

A.

straight m subscript 1 over straight m subscript 2 straight d straight m subscript 1 straight d space plus straight m subscript 2 straight x space equals space 0
straight x space equals space fraction numerator straight m subscript 1 straight d over denominator straight m subscript 2 end fraction