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Question

A small ball of mass ‘m’ is released at a height ‘R’ above the earth surface, as shown in the figure above. If the maximum depth of the ball to which it goes is R/2 inside the earth through a narrow grove before coming to rest momentarily. The grove, contain an ideal spring of spring constant K and natural length R, find the value of K if R is radius of earth and M mass of earth

  1. fraction numerator 3 G M m over denominator R to the power of 3 end exponent end fraction    
  2. fraction numerator 6 G M m over denominator R to the power of 3 end exponent end fraction    
  3. fraction numerator 9 G M m over denominator R to the power of 3 end exponent end fraction    
  4. fraction numerator 7 G M m over denominator R to the power of 3 end exponent end fraction    

The correct answer is: fraction numerator 7 G M m over denominator R to the power of 3 end exponent end fraction

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