Answer:
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
