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 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 = 3.00 m. Find the work done by the force on the particle as it moves from x = 5.00 m to x= 6.00 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? In a control system, an accelerometer consists of a 4.39-g object sliding on a calibrated horizontal rail. A low-mass

Explanation / Answer

we know, Workdone = Area under F-x curve

a) from x - 0 to x = 3

W = 0.5*3*1.8

= 2.7 J

b) from x = 5 to x = 6m

W = 3*(6-5)

= 3 J

c) from x = 14 to x = 15 m

W = 0.5*1*0.6

= 0.3 J

d) W = 0.5*5*3 + (10-5)*3 + 0.5*(15-10)*3

= 30 J

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