An ion rocket engine has an exhaust velocity of 30,000 m/s, but very low thrust -mvex %3D 1000 mN (milli-Newtons). If a small satellite has a payload (non-fuel part of the rocket) of 100 kg, and carries 50 kg of fuel in the form of Xenon gas to supply the ions, then (a) what is its maximum speed when its fuel is exhausted? (b) What is the rate of fuel consumption dm/dt in kg/s?

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 9.60P
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An ion rocket engine has an exhaust velocity
of 30,000 m/s, but very low thrust -mvex
%3D
1000 mN (milli-Newtons).
If a small satellite has a payload (non-fuel part
of the rocket) of 100 kg, and carries 50 kg of
fuel in the form of Xenon gas to supply the
ions, then
(a) what is its maximum speed when its fuel is
exhausted?
(b) What is the rate of fuel consumption dm/dt
in kg/s?
直 C
acer
Transcribed Image Text:An ion rocket engine has an exhaust velocity of 30,000 m/s, but very low thrust -mvex %3D 1000 mN (milli-Newtons). If a small satellite has a payload (non-fuel part of the rocket) of 100 kg, and carries 50 kg of fuel in the form of Xenon gas to supply the ions, then (a) what is its maximum speed when its fuel is exhausted? (b) What is the rate of fuel consumption dm/dt in kg/s? 直 C acer
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