Trunk up an Incline Part A A trunk of mass m = 0.9 kg is pushed a distance d = 5

Question

Trunk up an Incline Part A A trunk of mass m = 0.9 kg is pushed a distance d = 52 cm up an incline with an angle of inclination = 23.0° by a constant horizontal force P = 425 N (see figure). The coefficient of kinetic friction between the trunk and the incline is 0.06. Calculate the work done on the trunk by the applied force P Submit Answer Tries 0/6 Part B Calculate the work done on the trunk by the frictional force Submit Answer Tries 0/6 Part C Calculate the work done on the trunk by the gravitational force Submit Answer Tries 0/6

Explanation / Answer

up the incline

component of force F = P*costheta

work done by P = F*d = F*d*costheta = 425*0.52*cos23 = 203.43 J

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part B

perpendicular to incline

n - m*g*costheta -P*sintheta = 0

normal force n = mgcostheta + P*sintheta

frictional froce fk = uk*n

work done Wf = -f*d = -0.06*(0.9*9.8*cos23 + 425*sin23)*0.52 = 5.43 J

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Wg = -m*g*sintheta*d = -0.9*9.8*sin23*0.52 = -1.792 J

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