Yefim S. answered 12/21/22
Math Tutor with Experience
mv2/r = GmM/r2; M = v2r/G = (2πr/T)2r/G = 4π2r3/(GT2) = 4π2(9376000m)3/[(6.674 ·10-11Nm2kg-2(7·3600 + 39·60)2s2] = 6.428·1023kg
Edwin W.
asked 12/20/22Phobos (systematic designation: Mars I) is the larger and innermost of the two natural satellites of Mars, the other being Deimos. Phobos has an orbital radius of approximately 9376 km and takes 7h 39min to orbit.
(a) What is the mass of Mars?
Yefim S. answered 12/21/22
Math Tutor with Experience
mv2/r = GmM/r2; M = v2r/G = (2πr/T)2r/G = 4π2r3/(GT2) = 4π2(9376000m)3/[(6.674 ·10-11Nm2kg-2(7·3600 + 39·60)2s2] = 6.428·1023kg
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