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Question

Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block ' A ' pulling it away from the other block 'B' as shown in figure at t=0. Extension of the spring is x subscript 0 end subscript at time t.
Displacement of the centre of mass at time t is

  1. fraction numerator F t to the power of 2 end exponent over denominator 2 text end text m end fraction    
  2. fraction numerator F t to the power of 2 end exponent over denominator 3 text end text m end fraction    
  3. fraction numerator F t to the power of 2 end exponent over denominator 4 text end text m end fraction    
  4. fraction numerator F t to the power of 2 end exponent over denominator text end text m end fraction    

The correct answer is: fraction numerator F t to the power of 2 end exponent over denominator 4 text end text m end fraction

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