Question

The net horizontal force on a box F as a function of the horizontal position x is shown below.

What is the work done on the box from x= 0m to 4.0m?

Answer 1

The net horizontal force on a box F as a function of the horizontal position x is shown below.

What is the work done on the box from x = 0 m to 16 m?

Answer: 0

Answer 2

The Work done is the product of force and distance. The work done on the box from distance x = 0 meters and x = 16 meters is 0 Joules.

Explanation:

Using the graph given :

The distance can be split evenly into

(x = 0 to x = 8) and (x = 8 to x = 16)

Work done= Force × distance

Work done from ; x = 0 to x = 8 ;

Force at a distance of 8 meters = - 40N

Work done = - 40N × 8 m = -320 Nm

Work done from ; x = 8 to x = 16 ;

Force at a distance of 16 meters = 40 N

Work done= 40 N × 8 m = 320 Nm

The total work done :

(-320 + 320) Nm = 0 J

.