A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach maximum height of 2.49 m above the trampoline and, when she lands, her feet stretch the trampoline 68.0 cm down. How far does the trampoline stretch when she stands on it at rest? Assume that the trampoline is described by Hooke's law when it is stretched. Give your answer in cm.

A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach maximum height of 2.49 m above the trampoline and, when she lands, her feet stretch the trampoline 68.0 cm down. How far does the trampoline stretch when she stands on it at rest? Assume that the trampoline is described by Hooke's law when it is stretched. Give your answer in cm.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 45CP

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Concept explainers

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. 

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