Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 38, Problem 39P
To determine

The estimate of the difference between the actual kinetic energy and 12mu2 .

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Since the initial potential energy and final kinetic energy are zero, our equation now becomes EP,f = EK,i. We can then substitute the formula for kinetic energy,  EK = 1/2mv2,  and the formula for gravitational potential energy,  EP = mgh, mghf = 1/2mvi2. Now it's just a matter of doing the algebra, solving for the final height  hf,  and substituting values to find  hf.  Notice that the mass m divides out of both sides of the equation, so the value of the mass is not needed to find the final height. Calculate the maximum height of the ball in meters. hf = __________ m
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Physics for Scientists and Engineers with Modern Physics

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