A bungee cord can stretch, but it is never compressed. When the distance
between the two ends of the cord is less than its un- stretched length L0, the cord folds and its tension is zero. A particular bungee cord has an unstretched length of L0 = 19 m; when it is stretched to L > L0, the cord’s tension obeys Hooke’s law with “spring” constant 79 N/m.
To test the cord’s reliability, one end is tied to a high bridge of height 55 m (above the surface of a river) and the other end is tied to a steel ball of mass 89 kg, which is dropped off the bridge. The ball stops in the air a few meters before it hits the water — then the cord pulls it back up.
What is the tension in the bungee cord when the ball is at its lowest point?
Answer in units of N.
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