Mike attaches a 3.00 kg lead ball to a string to make a pendulum of length 10.0 meters. Let us call the position at which the lead ball hangs down vertically and is at rest the equilibrium position. Mike then pulls the lead ball to the side so that its center is raised to a vertical height of 0.0409 meters above its equilibrium position, and he gives the lead ball (pendulum bob) a push. Thus Mike gives the pendulum bob an initial kinetic energy of 2.00 J as he releases it. Assume there is no air resistance or friction. Choose the reference level for potential energy at the bottom of the pendulum's swing (the equilibrium position). a) What is the total initial energy of the pendulum as Mike releases it? b)  What is the instantaneous speed of the pendulum bob at the lowest point of its swing? c) When the lead ball (pendulum bob) is at the lowest point of its swing, the kinetic energy of the pendulum?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
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Mike attaches a 3.00 kg lead ball to a string to make a pendulum of length 10.0 meters. Let us call the position at which the lead ball hangs down vertically and is at rest the equilibrium position. Mike then pulls the lead ball to the side so that its center is raised to a vertical height of 0.0409 meters above its equilibrium position, and he gives the lead ball (pendulum bob) a push. Thus Mike gives the pendulum bob an initial kinetic energy of 2.00 J as he releases it. Assume there is no air resistance or friction. Choose the reference level for potential energy at the bottom of the pendulum's swing (the equilibrium position). a) What is the total initial energy of the pendulum as Mike releases it? b)  What is the instantaneous speed of the pendulum bob at the lowest point of its swing? c) When the lead ball (pendulum bob) is at the lowest point of its swing, the kinetic energy of the pendulum? 

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