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You are rearranging the furniture in your living room. In doing so, you push a 3

ID: 1341565 • Letter: Y

Question

You are rearranging the furniture in your living room. In doing so, you push a 31 kg sofa to the left a total distance of 2 m and then you push it back to the right a distance of 1 m. The coefficient of kinetic friction between the sofa and the hardwood floor is 0.2.

A- What is the work done by friction in moving the sofa?

B- Suppose that you had instead simply moved the sofa to its final position by moving it directly 1 m to the left. What is the work done by friction in this case?

C- From the results you obtained in Parts A and B, what can you conclude about the nature of the friction force? Is it a conservative force? Explain.

Explanation / Answer

A) work done =31*g *0.2 *(2 +1) => 182.28 J

B)

work done =31*g *0.2 *(1) => 60.76 J

C) since work done is different along different paths so Not Conservative

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