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| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 2 Days Ago |
| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
(a) Use the substitution v = dy/dt to solve (13) for v in terms of y. Assume that the velocity of the rocket at burnout is v = v0 and that y ≈ R at that instant; show that the approximate value of the constant c of integration is![]()
(b) Use the solution for v in part (a) to show that the escape velocity of the rocket is given by v0
Take y →∞ and assume v > 0 for all time t.]
(c) The result in part (b) holds for any body in the solar system. Use the values g = 32 ft/s2 and R = 4000mi to show that the escape velocity from the Earth is (approximately) V0= 25,000 mi/h.
(d) Find the escape velocity from the Moon if the acceleration of gravity is 0.165g and R = 1080 mi.
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