Explanation The escape velocity v of a planet varies directly as the square root of the product of planets radius R and its acceleration due to gravity. Hence the equation for this direct proportion is given by, v = k R g ( ∵ v denotes the escape velocity, R denotes the radius and g denotes the acceleration due to gravity and k is the constant of proportionality . ) ... ( 1 ) It is given that the radius and acceleration due to gravity for Mars is R M = 0.533 R e and g M = 0.400 g e respectively. Therefore, the value of k is obtained by substituting the value of escape velocity of the Earth in the equation (1) as follows. v = k R g 11.2 = k R e g e k = 11

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 18.2, Problem 48E

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The escape velocity vM of Mars if the escape velocity of Earth is 11.2 km/s.

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Chapter 18.2, Problem 47E

Chapter 18.2, Problem 49E

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Chapter 18 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

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The escape velocity v M of Mars if the escape velocity of Earth is 11.2 km/s .

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Chapter 18 Solutions