A rocket in outer space has a payload of 5190.0 kg and 1.551x10^5kgof fuel. The rocket can expel propellant at a speed of 5600km/s.Assume that the rocket starts form rest, accelerates to its finalvelocity, then begins its trip. How long will it take the rocket totravel a distance of 3.82x10^5km?

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Jean KeelingLv2

22 Feb 2019

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A rocket has total mass Mi=360 kg, including Mf=330 kg of fuel and oxidizer, In interstellar space, it starts from rest at the position x=0, turns on its engine at time t=0, and puts out exhaust with relative speed ve=1500 m/s at the constant rate k=2.50 kg/s. The fuel will last for a burn time of Tb=Mf/k=330 kg/(2.5 kg/s)=132 s.
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A rocket in outer space has a payload of 5190.0 kg and 1.551x10^5kgof fuel. The rocket can expel propellant at a speed of 5600km/s.Assume that the rocket starts form rest, accelerates to its finalvelocity, then begins its trip. How long will it take the rocket totravel a distance of 3.82x10^5km?

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