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. A)19.5 km/s B)27.5 km/s C)13.8 km/s D)1.95 km/s

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Quizplus · Accepted Answer

The orbital speed $ v $ can be calculated using the formula $ v = \sqrt{\frac{GM}{r}} $, where $ G $ is the gravitational constant $ 6.674 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2 $, $ M $ is the mass of Saturn, and $ r $ is the radius of the orbit. Plugging in the values, $ v = \sqrt{\frac{6.674 \times 10^{-11} \times 5.67 \times 10^{26}}{100,000,000}} \approx 19.5 \, \text{km/s} $.

Find the Orbital Speed of an Ice Cube in the Rings