Explanation Concept used: The minimum initial velocity of a n object that attains a maximum height r above the surface of earth: v 0 = 2 G M ( 1 r 1 − 1 r 1 + r ) Calculation: Consider the function: v 0 = 2 G M ( 1 r 1 − 1 r 1 + r ) Now, to find the escape velocity, take the limit r → ∞ so that the object never returns to the earth. Therefore, v e s c = lim r → ∞ 2 G M ( 1 r 1

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 6.5, Problem 43E

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the escape velocity, minimum initial velocityof an object which is continue travelling to the space.

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Chapter 6.5, Problem 42E

Chapter 6, Problem 1CRE

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Calculus: Early Transcendentals

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the escape velocity, minimum initial velocityof an object which is continue travelling to the space.

Solution Summary: The author calculates the escape velocity by taking the limit rto infty so that the object never returns to the earth.

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To calculate: the escape velocity, minimum initial velocityof an object which is continue travelling to the space.

Want to see the full answer?

Chapter 6 Solutions

To calculate:

the escape velocity, minimum initial velocityof an object which is continue travelling to the space.