A bungee cord is 30.0 m long and, when stretched a distance x, it exerts a restoring force equal to kx (meaning it acts like a spring). Your father, mass 95.0 kg, stands on a platform 45.0 m above the ground. One end of the bungee cord is tied securely to your father. You have promised him that when he steps off the platform, he will fall a maximum distance of 41.0 m before the cord stops him. You had several bungee cords to choose from and tested them each by attaching one end to a tree,

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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.