   Chapter 6, Problem 59P

Chapter
Section
Textbook Problem

A spaceship’s orbital maneuver requires a speed increase of 1.20 × 103 m/s. If its engine has an exhaust speed of 2.50 × 103 m/s, determine the required ratio Mi/Mf of its initial mass to its final mass. (The difference Mi − Mf equals the mass of the ejected fuel.)

To determine
The ratio of initial mass to the final mass.

Explanation

Given info: The increase in speed of the spaceship is 1.20×103m/s . The exhaust speed of the engine is 2.50×103m/s .

Explanation:

Formula to calculate the increase in speed of the spaceship is,

vfvi=veln(MiMf)

• vf is the final speed of the spaceship.
• vi is the initial speed of the spaceship.
• ve is the exhaust speed of the engine.
• Mi is the initial mass of the spaceship.
• Mf is the final mass of the spaceship

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