The force component along the displacement varies with the magnitude of the disp

Question

The force component along the displacement varies with the magnitude of the displacement, as shown in the graph. Find the work done by the force in the interval from (a) 0 to 0.7 m, (b) 1.0 to 2.0 m, and (c) 2.0 to 3.7 m. (Note: In the last interval the force component is negative, so the work is negative.)

The force component along the displacement varies with the magnitude of the displacement, as shown in the graph. Find the work done by the force in the interval from (a) 0 to 0.7 m, (b) 1.0 to 2.0 m, and (c) 2.0 to 3.7 m. (Note: In the last interval the force component is negative, so the work is negative.)

Explanation / Answer

work is area under the curve a) since straight line slope is 6/1 = 6 so at .7, Fcos = .7*6=4.2 so W = 4.2*0.7/2=1.47 J b) no area under the curve, W=0 c) area 2 to 3.7 = area 2 to 3 + 3 to 3.7 2 to 3 = -6*1/2 =-3 J 3 to 3.7 = -6*.7 =-4.2 so W = -7.2 J

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