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?

Option 2. √3 x V

Explanation:

Let the velocity of satellite orbiting Earth at r be V

Let the velocity of the satellite orbiting at 3r be V1

V (orbiting at r) = √(2gr)

V1 (orbiting at 3r) = √(2g3r)

Now let us find the ratio of V1(orbiting at 3r) to V(orbiting at r) .

This is illustrated below

V1 / V = √(2g3r)/√(2gr)

V1 / V = √3

Cross multiply to express in linear form

V1 = V x√3

V1 = √3 x V

From the above illustrations, we can see that the velocity of the satellite when it is moved to an orbital radius of 3r is: √3 x V