Physics-
General
Easy

Question

Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14m s to the power of negative 1 end exponent to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is

  1. 30 m s to the power of negative 1 end exponent    
  2. 20blank m s to the power of negative 1 end exponent    
  3. 10blank m s to the power of negative 1 end exponent    
  4. 5blank m s to the power of negative 1 end exponent    

The correct answer is: 10blank m s to the power of negative 1 end exponent


    At the time of applying the impulsive force block of 10 kg pushes the spring forward but 4 kg mass is at rest.
    Hence,
    v subscript C M end subscript equals fraction numerator m subscript 1 end subscript v subscript 1 end subscript plus m subscript 2 end subscript v subscript 2 end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript end fraction equals fraction numerator 10 cross times 14 plus 4 cross times 0 over denominator 10 plus 4 end fraction equals fraction numerator 140 over denominator 14 end fraction equals 10 m s to the power of negative 1 end exponent

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