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Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Sat

ID: 2144353 • Letter: F

Question

Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. Show all work and answer, please and thank you.   Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. 19.5 km/s 13.8 km/s 1.95 km/s 27.5 km/s Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. Show all work and answer, please and thank you.   Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. 19.5 km/s 13.8 km/s 1.95 km/s 27.5 km/s Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. 19.5 km/s 13.8 km/s 1.95 km/s 27.5 km/s Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. 19.5 km/s 13.8 km/s 1.95 km/s 27.5 km/s Find the orbital speed of an ice cube in the rings of Saturn, if the mass of Saturn is 5.67 x 1026 kg and the rings have an average radius of 100,000 km. 19.5 km/s 13.8 km/s 1.95 km/s 27.5 km/s 19.5 km/s 13.8 km/s 1.95 km/s 27.5 km/s

Explanation / Answer

The centripetal force :
Fc = mv^2/r ---> m= mass of ice cube
The gravity force :
F = GMm/r^2 ---> M = the mass of Saturn

---> mv^2/r = GMm/r^2
v = ?G M/r
= ? 6.67 x 10^-11 * 5.67

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