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Question

A block of mass 1 kg is placed on a rough horizontal surface. A spring is attached to the block whose other end is joined to a rigid wall,as shown in the figure. A horizontal force is applied on the block so that it remains at rest while the spring is elongated by x.blank x greater or equal than fraction numerator mu m g over denominator k end fraction Let F subscript m a x end subscript text  and  end text F subscript m i n end subscriptbe the maximum and minimum values of force F for which the block remains in equilibrium. For a particular x, F subscript m a x end subscript text  and  end text F subscript m i n end subscript= 2 N. Also shown is the variation of text Fmax+  end text text Fmin end text text  versus  end text x, the elongation of the spring The value of F subscript m i n end subscript, if x = 3 cm is :

  1. 0    
  2. 0.2 N    
  3. 5 N    
  4. 1 N    

The correct answer is: 0


    When x equals 0.03 k x equals 25 cross times 0.03 equals 0.75 N, which is less than mu m g equals 0.1 cross times 10 equals 1 N therefore The block will be at rest, without applying force F.

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