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Physics / Physics: Principles with Applications 6 / Chapter 8 / Problem 58PE

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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QUESTION:

Professional Application (a) Calculate the maximum rate at which a rocket can expel gases if its acceleration cannot exceed seven times that of gravity. The mass of the rocket just as it runs out of fuel is 75,000-kg, and its exhaust velocity is 2.40×103 m/s . Assume that the acceleration of gravity is the same as on Earth’s surface (9.80 m/s2). (b) Why might it be necessary to limit the acceleration of a rocket?

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QUESTION:

Professional Application (a) Calculate the maximum rate at which a rocket can expel gases if its acceleration cannot exceed seven times that of gravity. The mass of the rocket just as it runs out of fuel is 75,000-kg, and its exhaust velocity is 2.40×103 m/s . Assume that the acceleration of gravity is the same as on Earth’s surface (9.80 m/s2). (b) Why might it be necessary to limit the acceleration of a rocket?

ANSWER:

Step-by-step solution In this problem we have to calculate the maximum rate at which a rocket can expel gases if its acceleration cannot exceed seven times that of gravity and also find is it be necessary to limit the acceleration of a rocket. Step 1 of 4 (a) The vertical acceleration of a rocket is expressed as: Here, is the rate of expel of gases, is exhaust velocity, is mass of rocket and is mass of exhaust gases, is time in which the rocket exhausts gases and is gravitational acceleration.

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