A 65.5 kg bungee jumper is standing on a tall platform (ho = 56 m), as indicated in Figure 10.36. The bungee cord has an unstrained length of Lo = 10.5 m, and when stretched, behaves like an ideal spring with a spring constant of k = 74.0 N/m. The jumper falls from rest, and the only forces acting on him are his weight and, for the latter part of the descent, the elastic force of the bungee cord. (To simplify the problem slightly, assume the cord is attached at the center of mass and the center of mass drops from rest from the height of the platform.) ho Figure 10.36 What is his maximum speed during the fall? m/s How high above the water is he when he reaches this speed? How high above the water is he when he reaches the lowest point in the fall?

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Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.