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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 7 / Problem 27E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: A 10.0-kg box is pulled by a horizontal wire in a

Chapter 7, Problem 27E

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QUESTION:

Problem 27E

A 10.0-kg box is pulled by a horizontal wire in a circle on a rough horizontal surface for which the coefficient of kinetic friction is 0.250. Calculate the work done by friction during one complete circular trip if the radius is (a) 2.00 m and (b) 4.00 m. (c) On the basis of the results you just obtained, would you say that friction is a conservative or nonconservative force? Explain.

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QUESTION:

Problem 27E

A 10.0-kg box is pulled by a horizontal wire in a circle on a rough horizontal surface for which the coefficient of kinetic friction is 0.250. Calculate the work done by friction during one complete circular trip if the radius is (a) 2.00 m and (b) 4.00 m. (c) On the basis of the results you just obtained, would you say that friction is a conservative or nonconservative force? Explain.

ANSWER:

Solution 27E

Step 1:

Given data:

Mass of a box $m=10\ kg$

Coefficient of kinetic friction between box and rough horizontal surface $\mu{}k=0.250$

Normal force on a box on a rough horizontal surface $N=mg$

$N=(10\ kg)(9.8)$

$N=98\ N$ (downward)

Kinetic friction force ${f}_{k}={\mu{}}_{k}*N$

${f}_{k}=0.250*98\ N$

${f}_{k}=24.5\ N$

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