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Two particles of mass 'm' and '2m' are at a distance '3r' apart at the ends of a straight line AB. C is  the centre of mass of the system. The magnitude of the gravitational force on a unit mass placed at C  due  to the masses is

  1. zero
  2. fraction numerator 7 G M over denominator 4 r squared end fraction
  3. fraction numerator 9 G M over denominator 4 r squared end fraction
  4. fraction numerator 3 G M over denominator 4 r squared end fraction

The correct answer is: fraction numerator 7 G M over denominator 4 r squared end fraction


    F equals fraction numerator G m subscript 1 m subscript 2 over denominator R squared end fraction comma F subscript n e t end subscript equals F subscript 2 minus F subscript 1

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