1. The problem statement, all variables and given/known data Note: A bungee cord can stretch, but it is never compressed. When the distance be- tween the two ends of the cord is less than its unstretched length L0, the cord folds and its tension is zero. For simplicity, neglect the cord’s own weight and inertia as well as the air drag on the ball and the cord. A bungee cord has length L0 = 34 m when unstretched; when it’s stretched to L > L0, the cord’s tension obeys Hooke’s law with “spring” constant 53 N/m. To test the cord’s reliability, one end is tied to a high bridge of height 94 m above the surface of a river) and the other end is tied to a steel ball of mass 98 kg. The ball is dropped off the bridge with zero initial speed. Fortunately, the cord works and the ball stops in the air a few meters before it hits the water — and then the cord pulls it back up. The acceleration of gravity is 9.8 m/s2 . Calculate the ball’s height above the wa- ter’s surface at this lowest point of its trajec- tory. Answer in units of m. 2. The attempt at a solution At first I thought maybe this could be solved using Fg= ma and then dividing Fg by the spring constant because at the bottom point Ft should be equivalent to Fg. That didn't work, so I tried setting it up like a conservation of energy problem. mg(94)= 1/2 k (60-h)^2 + mgh I solved for h and got 2.3 m. This is also not right. What am I doing wrong here?