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If a person weighs 140 pounds at sea level How much would he weight at 4000 feet elevation?
Wiki User
∙ 15y ago
Radius of the earth 3963.19 miles. This is of course a value not of an accuracy worthy of the problem, but seeing as how this value varies depending on where on the earth you are and that this is only an intellectual exercise it doesn't really matter what value we use - just as long as the logic is expressed.
3963.19 miles = 5280*(3963.19) = 20,925,643.2 feet
140lbs =GMm/(20925643.2)2
Since G, M, and m will remain constant through-out this exercise we will treat them as just one big constant GMm
140 (20925643.2)2 = 61303556066718873.6 =GMm
So the person's weight at 4000 feet above the assumed radius of the Earth would be
? = 61303556066718873.6/(20925643.2+4000)2 = 61303556066718873.6/(20929643.2)2
=139.94649249564062623853171928662 lbs
a difference of approximately 0.06 lbs
Wiki User
∙ 15y ago
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