The rocket shown is designed to test the operation of a new guidance system. When it has reached a certain altitude beyond the effective influence of the earth's atmosphere, its mass has decreased to 2.49 Mg, and its trajectory is 8 = 34° from the vertical. Rocket fuel is being consumed at the rate of 130 kg/s with an exhaust velocity of 625 m/s relative to the nozzle. Gravitational acceleration is 9.54 m/s² at its altitude. Calculate the n- and t-components of the acceleration of the rocket.

The rocket shown is designed to test the operation of a new guidance system. When it has reached a certain altitude beyond the effective influence of the earth's atmosphere, its mass has decreased to 2.49 Mg, and its trajectory is 8 = 34° from the vertical. Rocket fuel is being consumed at the rate of 130 kg/s with an exhaust velocity of 625 m/s relative to the nozzle. Gravitational acceleration is 9.54 m/s² at its altitude. Calculate the n- and t-components of the acceleration of the rocket.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

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Question

The rocket shown is designed to test the operation of a new guidance system. When it has reached a certain altitude beyond the
effective influence of the earth's atmosphere, its mass has decreased to 2.49 Mg, and its trajectory is 0= 34° from the vertical. Rocket
fuel is being consumed at the rate of 130 kg/s with an exhaust velocity of 625 m/s relative to the nozzle. Gravitational acceleration is
9.54 m/s² at its altitude. Calculate the n- and t-components of the acceleration of the rocket.
Answers:
an=
Vert.
18
at =
M
1
Da
- Horiz-
m/s²
m/s²

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