Physics-
General
Easy

Question

A long, thin, inextensible and very flexible uniform wire is lying on the rough horizontal floor. One end of the wire is bent back and then pulled backwards with constant velocity V such that, at any instant of time, the moving part of the wire always remains just above the part of the wire which is still at rest at that instant on the floor as shown in diagram. If the wire has unit length and unit mass then,

  1. speed of centre of mass of the moving part at all the times will remain constant    
  2. speed of centre of mass of the moving part at all the times will be fraction numerator 3 over denominator 4 end fraction V    
  3. minimum force needed to pull the moving part will be fraction numerator V to the power of 2 end exponent over denominator 2 end fraction    
  4. minimum force needed to pull the moving part will be fraction numerator 3 over denominator 8 end fraction V to the power of 2 end exponent    

The correct answer is: speed of centre of mass of the moving part at all the times will remain constant

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