arry 300 kg of fuel and are capable of consuming it at a rate of 50 kg/s and eject it with a constant velocity of 2500 m/s, measured with respect to the rocket. The rocket is launched vertically from rest by first igniting stage B. Then stage A is ignited immediately after all the fuel in B is consumed and A has separated from B Neglect drag resistance and the variation of the rocket’s weight with altitude.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Each of the two stages A and B of the rocket has a mass of 2 M-g (M=mega) when their fuel tanks are empty. They each carry 300 kg of fuel and are capable of consuming it at a rate of 50 kg/s and eject it with a constant velocity of 2500 m/s, measured with respect to the rocket. The rocket is launched vertically from rest by first igniting stage B. Then stage A is ignited immediately after all the fuel in B is consumed and A has separated from B Neglect drag resistance and the variation of the rocket’s weight with altitude.

 
Given:
Ma = Mb = 2000 Kg
M Fuel = 300 Kg
Fuel Consumption = 50 Kg/s
V0 Ejected Fuel = 2500 m/s
V0 rocket = 0 m/s
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