points Mars has a mass of about 6.72 × 1023 kg, and its moon Phobos has

Physics
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Mars has a mass of about 6.72 × 1023 kg, and its moon Phobos has a mass of about 9.1 × 1015 kg.

If the magnitude of the gravitational force between the two bodies is 4.14 × 1015 N, how far apart are Mars and Phobos? The value of the universal gravitational constant is 6.673 × 10−11 N · m2/kg2.

Answer in units of m.

Oct 14th, 2015

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F =( G m1 *m2)/r^2

r^2 = ( G m1 *m2)/F

put the values

r^2 = (6.673 × 10−11 *   6.72 × 10^23  * 9.1 × 10^15)/6.673 × 10−11

r^2 = (6.673 × 10−11 * 6.72 × 10^23  * 9.1 × 10^15)/ 4.14 × 10^15

r^2 = 97.93  × 10^12

r = 9.8  × 10^6 m    answer

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Oct 14th, 2015

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