Physics-
General
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Question

A ball is attached to a horizontal cord of length L whose other end is fixed a peg is located at a distance h (= 4L/5) directly below the point of attachment of the cord. What will be the speed of the ball when it reaches the top of its circular path about the peg?

  1. (0.3gL)1/2    
  2. (2gL)1/2    
  3. (1.5gL)1/2    
  4. ( 1.2gL)1/2    

The correct answer is: ( 1.2gL)1/2


    Conservation of energy fraction numerator 1 over denominator 2 end fraction m v subscript 2 end subscript superscript 2 end superscript minus 0 equals m g left parenthesis L minus 2 left parenthesis L minus h right parenthesis right parenthesis semicolon because h equals fraction numerator 4 L over denominator 5 end fraction
    v subscript 2 end subscript superscript 2 end superscript equals 2 g open square brackets fraction numerator 3 L over denominator 5 end fraction close square brackets semicolon v subscript 2 end subscript equals left parenthesis 1.2 g L right parenthesis to the power of 1 divided by 2 end exponent

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