An electric elevator with a motor at the top has a multistrand cable weighing 5.5 lb divided by ft. When the car is at the first floor, 110 ft of cable are paid out, and effectively 0 ft are out when the car is at the top floor. How much work does the motor do just lifting the cable when it takes the car from the first floor to the top?

33275 lb.ft.

Explanation:

Length of cable = 110 ft

Weight density of multistranf cable = 5.5 lb/ft

Weight of cable to be filled = 5.5(110-x)

Attached is the remaining part of the solution,

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