You and three friends stand at the corners of a square whose sidesare 8.0 m long
ID: 1764799 • Letter: Y
Question
You and three friends stand at the corners of a square whose sidesare 8.0 m long in the middle of the gym floor, as shown in thefigure below. You take your physics book and push it from oneperson to the other. The book has a mass of 3.0 kg, and the coefficient of kinetic frictionbetween the book and the floor is µk =0.32. (a) The book slides from you to Beth and thenfrom Beth to Carlos, along the lines connecting these people. Whatis the work done by friction during this displacement?1 J
(b) You slide the book from you to Carlos along the diagonal of thesquare. What is the work done by friction during thisdisplacement?
2 J
(c) You slide the book to Kim, who then slides it back to you. Whatis the total work done by friction during this motion of thebook?
3 J
(a) The book slides from you to Beth and thenfrom Beth to Carlos, along the lines connecting these people. Whatis the work done by friction during this displacement?
1 J
(b) You slide the book from you to Carlos along the diagonal of thesquare. What is the work done by friction during thisdisplacement?
2 J
(c) You slide the book to Kim, who then slides it back to you. Whatis the total work done by friction during this motion of thebook?
3 J
Explanation / Answer
(a) What is the work done by friction duringthis displacement?W = mg*2a*cos(180) = -2mga
(b) You slide the book from you to Carlos along the diagonal of thesquare. What is the work done by friction during thisdisplacement?
W = mg*2 a*cos(180) = -2 mga
(c) You slide the book to Kim, who then slides it back to you. Whatis the total work done by friction during this motion of thebook?
W = mg*(2a + 2 a + a)*cos(180) = -(3 + 2)mga
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