Part 2: Cement Trucks and Work

A full cement truck is stuck at the bottom of a 250 foot gorge. A cable weighing 1.5 pounds per

foot is attached to the front of the truck and a winch on the top of the gorge. Once the truck begins

being pulled up, the wet cement inside the truck begins to leak out at a rate of 0.01 ft³ per foot

traveled. How much work is done moving the truck from the bottom of the gorge back to the top?