Mars has a mass of about 6.51 × 10^23 kg, and its moon Phobos has a mass of about 9 × 10^15 kg. If the
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HOME > > Mars has a mass of about 6.51 × 10^23 kg, and its moon Phobos has a mass of about 9 × 10^15 kg. If the

Mars has a mass of about 6.51 × 10^23 kg, and its moon Phobos has a mass of about 9 × 10^15 kg. If the

[From: ] [author: ] [Date: 11-11-21] [Hit: ]
so,r = sqrt(6.673*10^−11 * 6.51*10^23 * 9*10^15 / 4.3*10^15) = 9.53*10^6 meters.......
magnitude of the gravitational force between the two bodies is 4.3 × 10^15N, how far apart are Mars and Phobos? The value of the universal gravitational constant is 6.673 × 10^−11N · m^2/kg^2.
Answer in units of m

-
Fgrav = GmM/r^2

so, r = sqrt(GmM/F)

plug your numbers and you get

r = sqrt(6.673*10^−11 * 6.51*10^23 * 9*10^15 / 4.3*10^15) = 9.53*10^6 meters.

(Pretty close to wikipedia's data, "Phobos orbits about 9,377 km from the center of Mars")
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