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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
a. Given that the velocity of a particle in rectilinear motion varies with the displacement x according to the equation
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where b is a positive constant, find the force acting on the particle as a function of x.
b. A baseball (radius = .0366 m, mass = .145 kg) is dropped from rest at the top of the Empire State Building (height = 1250 ft). Calculate (a) the initial potential energy of the baseball, (b) its final kinetic energy, and (e) the total energy dissipated by the falling baseball by computing the line integral of the force of air resistance along the baseball's total distance of fall. Compare this last result to the difference between the baseball's initial potential energy and its final kinetic energy. (Hint: In part (c) make approximations when evaluating the hyperbolic functions obtained in carrying out the line integral.)
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