Homework Help: math

Posted by Mako on Sunday, August 19, 2012 at 2:13am.

the force of gravity varies inversely as the square of the distance between the centers of the two masses. If an object weighs 500 pounds at a distance of 12,000 miles from the center of the earth, at what distance will the weight be 50 pounds

math - Reiny, Sunday, August 19, 2012 at 8:26am
mass = k/d^2
when mass = 500, d = 12000
500 = k/12000^2
k = 500(12000)^2

so
50 = 500(12000)^2 /d^2

50 d^2 = 500(12000)^2
d^2 = 10(12000)^2
d = 12000√10 miles

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