A planet has a mass of about 6.4 x 1023 kg, and its moon has a mass of about 9.6 x 1015 kg. If the magnitude of the gravitational force between the two bodies is 4.6 x 1015 N, how far apart are the planet and its moon?
a.9.4 X 106
c.4.6 X 109
b.2.6 X 1015
d.1.2 X 102

Question

A planet has a mass of about 6.4 x 1023 kg, and its moon has a mass of about 9.6 x 1015 kg. If the magnitude of the gravitational force between the two bodies is 4.6 x 1015 N, how far apart are the planet and its moon?
a.9.4 X 106
c.4.6 X 109
b.2.6 X 1015
d.1.2 X 102

anonymous · Answer

$\LARGE F_g=\frac{Gm_1m_2}{r^2}$ ---> $\LARGE r=\sqrt {\frac{Gm_1m_2}{F_g}}$
substitute all your given values.

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