bangtann77
05.11.2020 •
Mathematics
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 pounds per foot?
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Ответ:
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
Ответ:
Expand brackets by multiplying by 1/2:
9 + 3.5n - 13 - 8n
Collect like terms:
4.5n - 4
Turn it into an equation:
4.5n - 4 = 0
Isolate 4.5n by adding 4 to both sides:
4.5n = 4
Divide both sides by 4.5 to get the value of n:
n = 8/9