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

Question

A particle is subject to a force Fx that varies with position as shown in the following figure.

A particle is subject to a force Fx 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 = 3.00 m. Find the work done by the force on the particle as it moves from x = 5.00 m to x = 8.00 m. Find the work done by the force on the particle as it moves from x = 14.0 m to x = 15.0 m. What is the total work done by the force over the distance x = 0 to x = 15.0 m?

Explanation / Answer

a) area = 0.5*3*1.75 = 2.625 J

b) area = 3*(8-5) = 9 J

c)area = 0.5*1*1 = 0.5 J

d) total area = 0.5*5*3 + 3*5 + 0.5*5*3 = 30 J

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