SOLUTION: The weight of a body above the surface of Earth varies inversely with the square of the distance from the center of Earth.If a certain body weighs 55 pounds when it is 3960 miles f

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Question 1208015: The weight of a body above the surface of Earth varies inversely with the square of the distance from the center of Earth.If a certain body weighs 55 pounds when it is 3960 miles from the center of Earth, how much will it weigh when it is 3965 miles from the center?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website!
Look carefully at the way this VARIATION exercise is written. You pick your variables and translate exactly into the equation you want.

w, weight of the body above,...
d, the distance to center of earth
k, variation constant

The first sentence becomes .

YOU take care of the second sentence, and the question.

Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website!
.
The weight of a body above the surface of Earth varies inversely with the square of the distance from the center of Earth.
If a certain body weighs 55 pounds when it is 3960 miles from the center of Earth, how much will it weigh
when it is 3965 miles from the center?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If to apply the common sense, then the solution is in one line:

        the body's weight at the distance of 3965 miles from the center of the Earth is

                 = 54.86137 pounds     (rounded).         ANSWER

I solve the problem in this way in order for you do not miss this
rare and fortunate opportunity to develop your common sense.