How much work is done lifting a 10 pound object from the ground to the top of a 40 foot building if the cable used weighs 2.5 po
unds per foot?
1 answer:
Answer:
2,400 foot-pounds
Step-by-step explanation:
Say at any instant x is length of Rope
Work done in lifting rope by dx amount will be:
dw = -(2.5x + 10)dx
w = -(40)∫(2.5x+10)dx
w = (2.5(40)^2) / 2 + 10(40)
w = 2000 + 400
w = 2,400 foot-pounds
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