The force acting on an object is given by F_x = (5x - 10)N,where x is in meters.What is the net work done by the force as the object moves from x = 0 to x = 4.50? A)5.6 J B)15.6 J C)12.5 J D)11.3 J

Question

Quizplus · Accepted Answer

The net work done by the force is equal to the area under the force-displacement curve. The force-displacement curve is a straight line with a slope of 5 N/m and a y-intercept of -10 N. The area under the curve from x = 0 to x = 4.50 is equal to the product of the slope and the change in displacement, which is (5 N/m)(4.50 m) = 22.5 J. However, the force is negative for x < 2 m, so the net work done by the force is equal to the area under the curve from x = 2 m to x = 4.50 m, which is equal to (5 N/m)(2.50 m) = 12.5 J.

The Force Acting on an Object Is Given by Fx

The Force Acting on an Object Is Given by F_x