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Question:

Integration word problem.Help Please !!!?

A cable that weights 5 lbs per foot is used to lift a tank out of a 20 foot deep ditchThe tank weights 100 lbs and hold 400 lbs of waterIf 100 lbs of water leaks out of the tank during the lift, then how much work was done by the crane?Please show all the work.

Answer:

It is light and soft but toughIt has no hazard for health., , and it is corrosion resistant.
The fact that it is ridiculously cheap and extremely light.
Weight of cable 20 x 5 100 lbIts center is at 10 ft work done to lift the cable 100 x 10 x 32 ft-lbs 32000 ft-lbsInitial weight of tank + water 500 lbFinal weight of tank + water 400 lb Avweight lifted by 20 ft 450 lb work done to lift the tank + water 450 x 20 x 32 ft-lbs 288000 ft-lbs Total work done 32000 + 288000 ft-lbs 320000 ft-lbs.

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