I have a problem where I need to calculate the coefficient ofrolling friction us

Question

I have a problem where I need to calculate the coefficient ofrolling friction using a kinematic process. I am not sure howto approach this problem. The problem itself involves work. Thedata that I know: mass of Hall's carriage: 0.7213 kg; mass hanging:0.086 kg; Force applied: 0.843 N; resisting force: 7.07 N; L = 2m;h = 0.174 m; work in = 1.69 J, and work out = 1.23. Velocity isconstant. I will appreciate any help. I have a problem where I need to calculate the coefficient ofrolling friction using a kinematic process. I am not sure howto approach this problem. The problem itself involves work. Thedata that I know: mass of Hall's carriage: 0.7213 kg; mass hanging:0.086 kg; Force applied: 0.843 N; resisting force: 7.07 N; L = 2m;h = 0.174 m; work in = 1.69 J, and work out = 1.23. Velocity isconstant. I will appreciate any help.

Explanation / Answer

Let a car move with constant velocity,so this is anequilibrium problem that use's Newton's first law.The four forceson the car are the weight,the upward normal force,the backwardforce of rolling friction,and the unknow forward force F (ourtarget variable).The kinetic friction force should be replaced bythe rolling friction force fr and with the tension forcereplaced by the unknow force F. Newton's first law for the vertical components tells us thatthe normal force is equal in magnitude to the car'sweight.Hence,from the definition of r,therolling friction force fr is fr = rn Newton's first law for the horizontal component tells us thata forward force with this magnitude is needed to keep the carmoving with constant speed.

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