13. 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.

Question

anonymous · Answer

You know this formula?

$$F=\frac{ GMm }{ r^2 }$$

highschoolmom2010 · Answer

i know of it but not too much on how to apply it

anonymous · Answer

ok. in G is a gravitation constant, M is the mass of the bigger body (Earth) and m is the mass of the smaller one (you). This application is comparing your weight on the Earth to somewhere in space so you can make a ratio.

$$F _{earth}=\frac{ GMm }{ r^2_{earth} }$$
$$F _{orbit}=\frac{ GMm }{ r^2 }$$
$$\frac{ F _{orbit} }{ F _{earth} }=\frac{ 1 }{ 16 }$$

anonymous · Answer

Does that make sense?

anonymous · Answer

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