Answer:
W = 15900 ft.lb
Step-by-step explanation:
From the given information.
Consider y to be the distance from the ground towards the bucket of the cement.
At height y, suppose the bucket is lifted by Δy.
Then, the workdone can be = 500Δy + 0.5(75 - y) Δy
where;
The bucket of the cement = 500Δy
The remaining of the rope = 0.5(75 - y) Δy
However; the workdone (W) can be calculated as:
W = 15000 + 0.5 ( 2250 - 450)
W = 15000 + 900
W = 15900 ft.lb