SOLUTION: The weight of a body above sea level varies inversely with the square of the distance from the center of Earth. If a woman weighs 133 pounds when she is at sea​ level, 3960

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Question 1075046: The weight of a body above sea level varies inversely with the square of the distance from the center of Earth. If a woman weighs 133 pounds when she is at sea​ level, 3960 miles from the center of​ Earth, how much will she weigh when she is at the top of a​ mountain, 3.1 miles above sea​ level?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
w weight
d distance from center
k variation constant

"...varies inversely with the square of the distance from the center of Earth. "

w=k%2Fd%5E2

k=w%2Ad%5E2
k=133%2A3960%5E2
k=20866000000

highlight_green%28w=20866000000%2Fd%5E2%29

The question for 3.1 mile above sea level,
w=20866000000%2F%283960%2B3.1%29
Compute this.





-----------------------------this below posted earlier--------------not right-----------
w=k%2Fd
k=w%2Ad
k=133%2A3960
k=526680
highlight%28w=526680%2Fd%29
-
The question:
w=526680%2F%283960%2B3.1%29------compute this.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
The solution by josgarithmetic is W R O N G.

josgratithmetic, learn the Newton gravitation law !