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If he drags the box 100 meters horizontally at a constant speed, how much work u

ID: 1281474 • Letter: I

Question

If he drags the box 100 meters horizontally at a constant speed, how much work us done by the man? How much work is done by friction?
(Photos attached) A man pulls a 30 kg crate across a horizontal surface. A force of 280 N is being applied to the rope at an angle of 53 degrees to the ground, the coefficient friction is 0.25. Draw a Free Body Diagram, and label all the Forces acting on the box. What is the force of kinetic friction between the crate and the surface? What is the acceleration of the box ? If he drags the box 100 meters horizontally at a constant speed, how much work us done by the man? How much work is done by friction?

Explanation / Answer

W =F*x*cos theta = 280*100*cos53 = 6850.820 J


Wf = fk*x*cos180 = -uk*N*x = uk*(mg-F*sin53)*x


Wf = -0.25*((30*9.8)-(280*sin53))*100 = -1759.55 J

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