A rocket has a total mass of 1.17  105 kg and a burnout mass of 1.03  104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 4.17 min, burning the fuel at a steady rate with an exhaust velocity of ve= 4.89  103 m/s. (a) If air friction and gravity are neglected, what is the speed of the rocket at burnout? (b) What thrust does the engine develop at liftoff? (c) What is the initial acceleration of the rocket if gravity is not neglected?

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
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A rocket has a total mass of 1.17  105 kg and a burnout mass of 1.03  104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 4.17 min, burning the fuel at a steady rate with an exhaust velocity of ve= 4.89  103 m/s.

(a) If air friction and gravity are neglected, what is the speed of the rocket at burnout?

(b) What thrust does the engine develop at liftoff?

(c) What is the initial acceleration of the rocket if gravity is not neglected?

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