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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 × 10 3 m/s. Assume that the acceleration of gravity is the same as on Earth's surface (9.80 m/s 2 ). (b) Why might it be necessary to limit the acceleration of a rocket?

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College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000

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Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000
Chapter 8, Problem 58PE
Textbook Problem
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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 × 10 3 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?

To determine

(a)

The maximum rate at which the rocket can expel gases

Explanation of Solution

Given:

Mass of rocket m=75000kg

Exhaust velocity vg=2.40×103m/s

Maximum acceleration rate dvdt=8g

Let us consider the maximum expel rate be dmdt

Formula used:

We know the acceleration equation for rocket is given as

dvdt=dm

To determine

(b)

The reason why it is necessary to limit the acceleration of the rocket

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College Physics
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