Physics-
General
Easy

Question

A solid ball of mass m is allowed to fall from a height h to a pan suspended with a spring of spring constant k. Assume the ball does not rebound and pan is massless, then amplitude of the oscillation is.

  1. fraction numerator m g over denominator k end fraction    
  2. fraction numerator m g over denominator k end fraction plus open parentheses fraction numerator 2 h k over denominator m g end fraction close parentheses to the power of 1 divided by 2 end exponent    
  3. m g square root of 1 plus fraction numerator 1 plus 2 h k over denominator m g end fraction end root    
  4. fraction numerator m g over denominator k end fraction open square brackets 1 plus square root of 1 plus fraction numerator 2 h k over denominator m g end fraction end root close square brackets    

The correct answer is: fraction numerator m g over denominator k end fraction open square brackets 1 plus square root of 1 plus fraction numerator 2 h k over denominator m g end fraction end root close square brackets

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