Physics-
General
Easy

Question

A ring of mass M and radius R sliding with a velocity v0 suddenly enters into rough surface where the coefficient of friction is mu, as shown in figure. Choose the correct alternative(s)

  1. The linear distance moved by the centre of mass before the ring starts rolling is fraction numerator 3 v subscript 0 end subscript superscript 2 end superscript over denominator 8 mu g end fraction    
  2. The net work done by friction force is negative fraction numerator 3 over denominator 8 end fraction m v subscript 0 end subscript superscript 2 end superscript    
  3. The loss is kinetic energy of the ring is fraction numerator m v subscript 0 end subscript superscript 2 end superscript over denominator 4 end fraction    
  4. The gain in rotational kinetic energy is plus fraction numerator m v subscript 0 end subscript superscript 2 end superscript over denominator 8 end fraction    

The correct answer is: The linear distance moved by the centre of mass before the ring starts rolling is fraction numerator 3 v subscript 0 end subscript superscript 2 end superscript over denominator 8 mu g end fraction

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