A satellite orbiting Earth at an orbital radius r has a velocity v. Which represents the velocity if the satellite is moved to an orbital radius of 3r?

A. 3√v

B. 3v

C. 13√v

D. 13v
C. IS THE CORRECT ANSWER!

Explanation:

Approaching the orbit of the satellite around the Earth to a circular orbit, we can use the equation of velocity in the case of uniform circular motion:

(1)  

Where:

is the velocity of the satellite

is the Gravitational Constant

is the mass of the Earth

is the radius of the orbit

Rewriting (1):

(2)  

Then:

(3)

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