Can you explain part c onlyWhere does this formula come from and from where did they get VEWhy do they then use it to substitute everything Problem 2- Rocket propulsion, two-stage rocket, escape velocity(a) A fully fueled rocket has an initial mass Mo, of which MF is the mass of the fuel alone. The rocket is launched vertical upward with initial velocity vo=0.Fuel is ejected with a given constant velocity, Vrel, and at burn-out time, t-tbo, the rocket reaches velocity Vbo-VE/2, where VE is the escape velocity from thesurface of planet Earth. Find a formula for the burn-out time, tbo (no numbers needed here).(b) At burn-out time, a prearranged explosion separates the rocket into two parts, with part A stopped in midair by the prearranged explosion, while part Bis propelled to a velocity VB>VE. Assuming a mass ratio, mA/MB-3, find the velocity of part B after the explosion.(c) Part B of the rocket now continues its travel into open space, moving radially outward from the center of the Earth, without additional propulsion. Ifprearranged explosion happened at an altitude h << re above the surface of the Earth, estimate the velocity of part B as it reaches a distance r = 10 re fromthe center of the Earth, with re the radius of planet Earth. 5(C) Use conservation of energy!21/2 MV 3 - GNOMEGMB ME10 TErewhere v is the rebuity reached by therocket when re 10 VE Now;22G MEVE = 26M6YE22V ₁² = 4 VETherefore:-2-+2V/² - 1/1/2212V=²-31 VE7x₂1²2

From part (b) the velocity of part B VB = 2 VE Here VE = escape velocity from the surface of…

Answered: Can you explain part c only Where does…

Can you explain part c only Where does this formula come from and from where did they get VE Why do they then use it to substitute everything

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.65P

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Can you explain part c only Where does this formula come from and from where did they get VE Why do they then use it to substitute everything

Problem 2- Rocket propulsion, two-stage rocket, escape velocity
(a) A fully fueled rocket has an initial mass Mo, of which MF is the mass of the fuel alone. The rocket is launched vertical upward with initial velocity vo=0.
Fuel is ejected with a given constant velocity, Vrel, and at burn-out time, t-tbo, the rocket reaches velocity Vbo-VE/2, where VE is the escape velocity from the
surface of planet Earth. Find a formula for the burn-out time, tbo (no numbers needed here).
(b) At burn-out time, a prearranged explosion separates the rocket into two parts, with part A stopped in midair by the prearranged explosion, while part B
is propelled to a velocity VB>VE. Assuming a mass ratio, mA/MB-3, find the velocity of part B after the explosion.
(c) Part B of the rocket now continues its travel into open space, moving radially outward from the center of the Earth, without additional propulsion. If
prearranged explosion happened at an altitude h << re above the surface of the Earth, estimate the velocity of part B as it reaches a distance r = 10 re from
the center of the Earth, with re the radius of planet Earth.

5
(C) Use conservation of energy!
2
1/2 MV 3 - GNOME
GMB ME
10 TE
re
where v is the rebuity reached by the
rocket when re 10 VE Now;
2
2G ME
VE = 26M6
YE
2
2
V ₁² = 4 VE
Therefore:
-2-
+
2V/² - 1/1/2
2
12
V=
²-31 VE
7x₂1²
2

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