A new design of Saturn 13 rocket with mass 1.31 x106 kg has a propulsion engine that can eject gases at a constant speed of 229.6 m/s (vGas) by burning fuel at a rate of 3.03  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 42.2  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ).

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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A new design of Saturn 13 rocket with mass 1.31 x106 kg has a propulsion engine that can eject gases at a constant speed of 229.6 m/s (vGas) by burning fuel at a rate of 3.03  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 42.2  x10 6  kg.

If this design exceeds the velocity of 11,200 m/s it can can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ).

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