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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs
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Professional ApplicationIon-propulsion rockets have been

Chapter 8, Problem 56

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QUESTION:

Problem 56PE

Professional Application

Ion-propulsion rockets have been proposed for use in space. They employ atomic ionization techniques and nuclear energy sources to produce extremely high exhaust velocities, perhaps as great as 8.00×106 m/s . These techniques allow a much more favorable payload-to-fuel ratio. To illustrate this fact: (a) Calculate the increase in velocity of a 20,000-kg space probe that expels only 40.0-kg of its mass at the given exhaust velocity. (b) These engines are usually designed to produce a very small thrust for a very long time—the type of engine that might be useful on a trip to the outer planets, for example. Calculate the acceleration of such an engine if it expels 4.50×10−6 kg/s at the given velocity, assuming the acceleration due to gravity is negligible.

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QUESTION:

Problem 56PE

Professional Application

Ion-propulsion rockets have been proposed for use in space. They employ atomic ionization techniques and nuclear energy sources to produce extremely high exhaust velocities, perhaps as great as 8.00×106 m/s . These techniques allow a much more favorable payload-to-fuel ratio. To illustrate this fact: (a) Calculate the increase in velocity of a 20,000-kg space probe that expels only 40.0-kg of its mass at the given exhaust velocity. (b) These engines are usually designed to produce a very small thrust for a very long time—the type of engine that might be useful on a trip to the outer planets, for example. Calculate the acceleration of such an engine if it expels 4.50×10−6 kg/s at the given velocity, assuming the acceleration due to gravity is negligible.

ANSWER:

Solution 56 PE

Step 1 of 3:

In this question, we need to find the increase in the velocity of the space probe when it expels certain mass

In part (b) we need to find the acceleration of engine

Data given

Mass of the space probe
Mass ejected

Velocity of the space probe

Rate of change of mass

Part a:

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