SOLUTION: The weight of an object varies inversely with the square of its distance from the center of the earth. If an object 8000 miles from the center of the earth weighs 90 pounds, find

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Question 1010554: The weight of an object varies inversely with the square of its distance from the center of the earth. If an object 8000 miles from the center of the earth weighs 90 pounds, find its weight when it is 12000 miles from the center of the earth.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
w, weight
d, distance
k, variation constant

w=k%2Fd%5E2, how the weight varies

Assigned some values:
system%28d=8000%2Cw=90%29
Find k, first.
w%2Ad%5E2=k
k=90%2A8000%5E2
k=72%2A10%5E7
k=7.2%2A10%5E8

More specific model is highlight%28w=%287.2%2A10%5E8%29%2Fd%5E2%29.