Explanation 1) Concept: Use the formula to calculate the work done. 2) Formula: The work done in moving the object from a to b is given by W = ∫ a b f ( x ) d x 3) Given: i. a = 0 m and b = 8 m 4) Calculation: The force function F ( x ) is given in N e w t o n s and the work is given in J o u l e s The area under the curve is given by W = ∫ 0 8 F ( x ) d x F varies from 0 to 4 and remains constant on 4 to 8 From 0 to 4 , F x = 30 4 x and from 4 to 8 , F x = 30 Therefore, = ∫ 0 4 F ( x ) d x + ∫ 4 8 F (

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ISBN: 9781285740621

Author: James Stewart

Publisher: Cengage Learning

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Chapter 5.4, Problem 5E

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The work done in moving the object to a distance of 8 m

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The work done in moving the object to a distance of 8 m

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The work done in moving the object to a distance of 8 m