A man attached to a rope jumps from a bridge. The natural length of the rope is L, the mass of the man is m, the mass of the rope is negligibly small and its spring constant is k. Determine the maximum elongation of the rope. Assume that the bridge is high enough that the man does not touch the ground.
Hints: At the lowest position of the man, the length of the rope becomes L+δ.You will need to solve a quadratic equation.