A particle is subject to a force F _x that varies with position as shown in the

Question

A particle is subject to a force F _x that varies with position as shown in the following figure. Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m Remember that the expression W = F vector .delta r vector is only appropriate when the force is constant or delta r vector is very tiny. J Find the work done by the force on the particle as it moves from x = 5.00 m to x = 9.00 m. 12 J Find the work done by the force on the particle as it moves from x = 13.00 m to x = 15.0 m. J What is the total work done by the force over the distance x = 0 to x = 15.0 m?

Explanation / Answer

Area under F and x gives work

(a) W = (0.5*1*2) = 1 J

(b) W = (3-0)*(9-5) = 12 J

(C) W = 0.5*(15-13)(0-1) = -1 J

(d) W = (0.5*5*3) +(12) +(0.5*5*-3)

W = 12 J

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