Will fan and medal for correct answer!! tried numerus times to figure this out and I'm stuck!
Using 6400 km as the radius of Earth, calculate how high above Earth’s surface you would have to be in order to weigh 1/16th of your current weight. Show all work leading to your answer OR describe your solution using 3 -4 complete sentences.

Question

Will fan and medal for correct answer!! tried numerus times to figure this out and I'm stuck! 
Using 6400 km as the radius of Earth, calculate how high above Earth’s surface you would have to be in order to weigh 1/16th of your current weight.  Show all work leading to your answer OR describe your solution using 3 -4 complete sentences.

anonymous · Answer

I think you would take your current weight times 16 then that divided by 12... Or I'm just being confusing. This is a question I'm stuck on aswell. @oksuz_ @kira12341234

mrnood · Answer

Are you familiar with the universal gravitational equation

$$F _{g} = \frac{ GMm }{ r ^{2} }$$

i.e the force on a body of mass m (its weight) is inversely proportional to the distance squared

e.g. if you were 2 times as far away tehn you would weigh 1/2^2 - 1/4 the amount

you know th edistance when you are on the surface (it gives the radius)

so how many times the radius do you need to be to make 1/16