Question

16) Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 10^26 kg, and use an orbital radius of 3.00 x 105 km. (G= 6.67 × 10-11 N·m2/kg2) A) 19.5 km/s B) 27.5 km/s *C) 11.2 km/s D) 20.5 km/. orbital speed?
​

Answer 1

The orbital speed of an ice cube in the rings of Saturn is 11.2 Km/s. The correct answer is option C

What does Orbital speed depend on ?

The speed of an object travelling around a circle depends on two quantities namely;

• Its angular velocity w

• Its distance from the center of the circle.

Given that  an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 10^26 kg, and use an orbital radius of 3.00 x 105 km. (G= 6.67 × 10-11 N·m2/kg2)

The given parameters are:

• The mass of Saturn = 5.68 x 10^26 kg

• The orbital radius = 3.00 x 105 km

• G = 6.67 × 10-11 N·m2/kg2

Let us first calculate the gravitational field strength on the Saturn.

g = GM/r²

Substitute all the necessary parameters and convert km to m

g = (6.67 × $10^{-11}$ × 5.68 × $10^{26}$) ÷ (300000 × 1000)²

g = 3.79 × $10^{16}$ ÷ 9 × $10^{16}$

g = 0.421 m/s²

The  orbital speed will be

V² = gr

V² = 0.4211 × 300000 × 1000

V² = 126333333.3

V = √126333333.3

V = 11239.8 m/s

Convert it to Km/s by dividing the answer by 1000

V = 11239.8/1000

V = 11.2 Km/s

Therefore, the orbital speed of an ice cube in the rings of Saturn is 11.2 Km/s

Learn more about Orbital Speed here: https://brainly.com/question/22247460

#SPJ1