Answer: A rocket burning its onboard fuel while moving through space has velocity and

Chapter 13, Problem 46

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A rocket burning its onboard fuel while moving through space has velocity and mass at time . If the exhaust gases escape with velocity relative to the rocket, it can be deduced from Newtons Second Law of Motion that (a) Show that . (b) For the rocket to accelerate in a straight line from rest to twice the speed of its own exhaust gases, what fraction of its initial mass would the rocket have to burn as fuel?

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