Physics-
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Question

A vertical spring with force constant K is fixed on a table. A ball of mass mat a height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. The net work done in the process is

  1. m g plus open parentheses h plus d close parentheses plus fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent    
  2. m g open parentheses h plus d close parentheses minus fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent    
  3. m g open parentheses h minus d close parentheses minus fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent    
  4. m g open parentheses h minus d close parentheses plus fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent    

The correct answer is: m g open parentheses h plus d close parentheses minus fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent


    Gravitational potential energy of ball gets converted into elastic potential energy of the spring m g open parentheses h plus d close parentheses equals fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent
    Net work done equals m g open parentheses h plus d close parentheses minus fraction numerator 1 over denominator 2 end fraction K d to the power of 2 end exponent equals 0

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