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suppose you weigh 234 pounds on earth how far from the center of the earth must...

suppose you weigh 234 pounds on earth how far from the center of the earth must you go to weigh 26 pounds?

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Answer #1

what are the units you are looking for answer ????

I assume you are looking for miles

Person's weight varies with 1/r2 from center of earth

Given

F = Gm1m2 / r2 = 234 lbs

Gm1m2 / r2 = 234 lbs where r is radius of earth which is around 3958 miles ( I have taken it from internet, please make sure this is correct, In km, earth's radius is 6370 km)

Therefore,

Gm1m2 = 234*3958

Gm1m2 = 926172

Now, the weight at some height is given as 26 pounds

26 = Gm1m2 / (r + x)2

(r + x)2 = 926172 / 26

(r + x)2 = 35622

x = 188.74 + 3958

x = 4146.7 miles

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