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Physics question help!

[From: ] [author: ] [Date: 12-05-11] [Hit: ]
Would you use the distance as the radius? How do you do it?T5.0 = T2.0*[5.0/2.......
A moon orbits a planet in 10 days from a distance of 2.0 units. A smaller moon orbits the same planet from a distance of 5.0 units. What length of time is required for this moon to orbit the planet?

Would you use the distance as the radius? How do you do it?

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Distance must be considered the radius of the orbit; otherwise no solution is possible:
T is proportional to R^(3/2):

T5.0 = T2.0*[5.0/2.0]^(3/2) = 39.53 days



F = Gm1*m2/D² → m2 = F*D²/(G*m1)

m2 = 0.8 kg
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