Physics-
General
Easy

Question

A bob of mass m accelerates uniformly from rest to v subscript 1 end subscript in time t subscript 1 end subscript. As a function of t, the instantaneous power delivered to the body is

  1. fraction numerator m v subscript 1 end subscript t over denominator t subscript 2 end subscript end fraction    
  2. fraction numerator m v subscript 1 end subscript t over denominator t subscript 1 end subscript end fraction    
  3. fraction numerator m v subscript 1 end subscript t to the power of 2 end exponent over denominator t subscript 1 end subscript end fraction    
  4. fraction numerator m v subscript 1 end subscript superscript 2 end superscript t over denominator t subscript 1 end subscript superscript 2 end superscript end fraction    

The correct answer is: fraction numerator m v subscript 1 end subscript superscript 2 end superscript t over denominator t subscript 1 end subscript superscript 2 end superscript end fraction


    From v equals u plus a t comma v subscript 1 end subscript equals 0 plus a t subscript 1 end subscript open parentheses because a equals fraction numerator v subscript 1 end subscript over denominator t subscript 1 end subscript end fraction close parentheses
    F equals m a equals m v subscript 1 end subscript divided by t subscript 1 end subscript
    Velocity acquired in t sec equals a t equals fraction numerator v subscript 1 end subscript over denominator t subscript 1 end subscript end fraction t
    Power equals F cross times v equals fraction numerator m v subscript 1 end subscript over denominator t subscript 1 end subscript end fraction cross times fraction numerator v subscript 1 end subscript t over denominator t subscript 1 end subscript end fraction equals fraction numerator m v subscript 1 end subscript superscript 2 end superscript t over denominator t subscript 1 end subscript superscript 2 end superscript end fraction

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