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A 0.60-kg book slides on a horizontal table. The kinetic
Chapter 9, Problem 29E(choose chapter or problem)
A 0.60-kg book slides on a horizontal table. The kinetic friction force on the book has magnitude 1.8 N. (a) How much work is done on the book by friction during a displacement of 3.0 m to the left? (b) The book now slides 3.0 m to the right, returning to its starting point. During this second 3.0-m displacement, how much work is done on the book by friction? (c) What is the total work done on the book by friction during the complete round trip? (d) On the basis of your answer to part (c), would you say that the friction force is conservative or nonconservative? Explain.
Questions & Answers
QUESTION:
A 0.60-kg book slides on a horizontal table. The kinetic friction force on the book has magnitude 1.8 N. (a) How much work is done on the book by friction during a displacement of 3.0 m to the left? (b) The book now slides 3.0 m to the right, returning to its starting point. During this second 3.0-m displacement, how much work is done on the book by friction? (c) What is the total work done on the book by friction during the complete round trip? (d) On the basis of your answer to part (c), would you say that the friction force is conservative or nonconservative? Explain.
ANSWER:Step 1 of 2
Work done by a force is given by the mathematical relation Work = Force \(\times\) Displacement.
Given, the kinetic friction force is \(F_{f}=1.8 \mathrm{~N}\)
(a) The displacement of the book is \(=3.0 \mathrm{~m}\)
Work done by friction on the book is \(W_{1}=-1.8 N \times 3.0 m=-5.4 J\)