Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 1026 kg, and use an orbital radius of 3.00 x 105 km. (G = 6.67 × 10-11 N ∙ m2/kg2)


19.5 km/s


27.5 km/s


11.2 km/s


20.5 km/s

Respuesta :

The orbital speed of an ice cube in the rings of Saturn is 355358.97m/s

Law of gravitation

According to the gravitation law, the force of gravitation is directly proportional to the product of the masses and inversely proportional to the distance between them. Mathematically;

F = GMm/r²

where

m = mass of ice cube and

s = Gm1/r^2

Hence,

F = sm2

On rearranging,

s = m2/F

let V = orbital speed

centripetal acceleration = V^2/r

Such that;

V²/r = Gm/r²

V² = Gm/r

V = √Gm/r

Substitute the given parameters

V =  √6.67×10^-11 *  5.68 x 10^26 / 3.00 x 10^5

V = 355358.97m/s

Hence the orbital speed of an ice cube in the rings of Saturn is 355358.97m/s

Learn more on orbital speed here: https://brainly.com/question/22247460

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