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: f x = c o s ( π x 3 ) 4) Calculation: The work done in moving the particle from x = 1 to x = 2 is given by using the formula W = ∫ 1 2 c o s ( π x 3 ) d x Simplify, = sin ⁡ π x 3 π 3 1 2 = 3 π sin ⁡ π x 3 1 2 = 3 π sin ⁡ π ( 2 ) 3 - sin ⁡ π ( 1 ) 3 = 3 π 3 2 - 3 2 = 0 N . m = 0 J Interpretation: The work done in moving the particle from x = 1 to x = 1.5 is given by using the formula W = ∫ 1 1.5 c o s ( π x 3 ) d x Simplify, = sin ⁡ π x 3 π 3 1 1.5 = 3 π sin ⁡ π x 3 1 1.5 = 3 π sin ⁡ π ( 1.5 ) 3 - sin ⁡ π ( 1 ) 3 = 3 π sin ⁡ π 2 - sin ⁡ π ( 1 ) 3 = 3 π 1 - 3 2 = 3 2 π 2 - 3 N · m = 3 2 π 2 - 3 J Work done is positive which means that kinetic energy is increasing

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ISBN: 9781285740621

Author: James Stewart

Publisher: Cengage Learning

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Chapter 5.4, Problem 4E

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The work done in moving the particle from x=1 to x=2 and interpret the answer by considering the work done from x=1 to x=1.5 and from x=1.5 to x=2

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Chapter 5.4, Problem 3E

Chapter 5.4, Problem 5E

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The work done in moving the particle from x = 1 to x = 2 and interpret the answer by considering the work done from x = 1 to x = 1.5 and from x = 1.5 to x = 2

Solution Summary: The author explains the formula used to calculate the work done.

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To find:

The work done in moving the particle from x=1 to x=2 and interpret the answer by considering the work done from x=1 to x=1.5 and from x=1.5 to x=2

Want to see the full answer?

Chapter 5 Solutions

The work done in moving the particle from x = 1 to x = 2 and interpret the answer by considering the work done from x = 1 to x = 1.5 and from x = 1.5 to x = 2

Solution Summary: The author explains the formula used to calculate the work done.

Videos

To find: The work done in moving the particle from x=1 to x=2 and interpret the answer by considering the work done from x=1 to x=1.5 and from x=1.5 to x=2

Want to see the full answer?

Chapter 5 Solutions

To find:

The work done in moving the particle from x=1 to x=2 and interpret the answer by considering the work done from x=1 to x=1.5 and from x=1.5 to x=2