Mars has a mass of about 6.14 × 1023 kg,
and its moon Phobos has a mass of about
9.8 × 1015 kg.
If the magnitude of the gravitational force
between the two bodies is 4.18 × 1015 N,
how far apart are Mars and Phobos? The
value of the universal gravitational constant
is 6.673 × 10−11 N · m2/kg2.
1 answer
The distance between Mars and Phobos can be calculated using the equation F = G*m1*m2/r^2, where F is the magnitude of the gravitational force, G is the universal gravitational constant, m1 and m2 are the masses of Mars and Phobos, respectively, and r is the distance between them. Rearranging the equation to solve for r, we get r = sqrt(G*m1*m2/F). Plugging in the given values, we get r = sqrt(6.673*10^-11*6.14*10^23*9.8*10^15/4.18*10^15) = 5.8*10^6 m. Therefore, the distance between Mars and Phobos is 5.8 million meters.
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