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You and three friends stand at the corners of a square whose sides are 8.0 m lon

ID: 2138654 • Letter: Y

Question

You and three friends stand at the corners of a square whose sides are 8.0 m long in the middle of the gym floor, as shown in the figure . You take your physics book and push it from one person to the other. The book has a mass of 1.2

kg , and the coefficient of kinetic friction between the book and the floor is ?k=0.22.

You and three friends stand at the corners of a square whose sides are 8.0 m long in the middle of the gym floor, as shown in the figure . You take your physics book and push it from one person to the other. The book has a mass of 1.2 kg , and the coefficient of kinetic friction between the book and the floor is ?k=0.22. The book slides from you to Beth and then from Beth to Carlos, along the lines connecting these people. What is the work done by friction during this displacement? You slide the book from you to Carlos along the diagonal of the square. What is the work done by friction during this displacement? You slide the book to Kim who then slides it back to you. What is the total work done by friction during this motion of the book? Is the friction force on the book conservative or nonconservative?

Explanation / Answer

work done by friction = frictional force*distance moved

force is -umg

=-0.22*1.2*9.8

=-2.5872 N


a). distance moved is 8+8=16

so W= 16*F

= -41.3952

b). distance moved is 8root2

so work done

= F*d

=-29.27 J


c).distance moved is 8+8= 16

so W= f*16

= -41.392 J


the work done is not path independent so friction force is non conservative