Suppose the mass of a rocket just as it runs out of fuel is 75400-kg, and its exhaust speed is 2.25 × 103 m/s. Calculate the maximum rate, in kilograms per second, at which the rocket can expel gases, if its acceleration cannot exceed seven times that of the gravitational acceleration on the surface of the Earth. Assume the gravitational force on the rocket is negligible.

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 9.55P
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Suppose the mass of a rocket just as it runs out of fuel is 75400-kg, and its exhaust speed is 2.25 × 103 m/s. Calculate the maximum rate, in kilograms per second, at which the rocket can expel gases, if its acceleration cannot exceed seven times that of the gravitational acceleration on the surface of the Earth. Assume the gravitational force on the rocket is negligible. 

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