Physics-
General
Easy

Question

In figure, a particle is placed at the highest point A of a smooth sphere of radius r. It is given slight push, and it leaves the sphere at B, at a depth h blankvertically below A such that h is equal to

  1. fraction numerator r over denominator 6 end fraction    
  2. fraction numerator 1 over denominator 4 end fraction r    
  3. fraction numerator 1 over denominator 3 end fraction r    
  4. fraction numerator 1 over denominator 2 end fraction r    

The correct answer is: fraction numerator 1 over denominator 3 end fraction r


    If v velocity acquired at B, then
    v to the power of 2 end exponent equals 2 g h
    The particle will leave the sphere at B, when
    fraction numerator m v to the power of 2 end exponent over denominator r end fraction greater or equal than m g cos invisible function application theta
    fraction numerator 2 g h over denominator r end fraction equals fraction numerator g left parenthesis r minus h right parenthesis over denominator r end fraction comma

    Which gives h equals fraction numerator r over denominator 3 end fraction

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