(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

My answer seems really off and wondering if someone could just look at it before I submit answer?

Two 65 kg astronauts leave earth in a spacecraft, sitting 2.4 m apart

How far are they from the center of the earth when the gravitational force between them is as strong as the gravitational force of the earth on one of the astronauts?

Express your answer with the appropriate units.

2. Relevant equations

F = Gm_1m_2/r^2

G = 6.67e-11N

m_earth = 5.98e24kg

3. The attempt at a solution

1st get gravitation force between the two astronauts then use this value to get distance from center of earth.

F = [6.67e-11N (65kg*65kg)] / (2.4m^2) = 4.89e-8N = force between the astronauts.

r = sqrt [ Gm_1m_2 / F] = 6.67e-11N (65kg*2)(5.98e24kg) / 4.89e-8N

=1.03e12m= r = distance between earth and the astronauts.

so my answer = 1.03*10^12m.

thanks in advance if someone could look it over really quick?

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# Gravity equation -- check my work please?

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