What is the ratio of the orbital velocities of two satellites, each in circular orbit around earth, given that satellite a orbits 2.40 times as far from earth’s center of gravity as satellite b? give your answer in terms of b’s velocity to a’s velocity.

ratio of velocity  is 3:2

Explanation:

given data

orbits A = 2.40  B

to find out

What is the ratio of the orbital velocities of two satellites

solution

we know here orbit velocity formula that is

V =

here V is velocity and G is gravitational constant and M is mass of earth and r is distance from object to center of earth

so we calculate it for B that is V1

V1 =       .........................2

here r is B

and

for orbit A velocity is V2

V2 =

so here r is 2.40 B

sop from equation 2 and 3  

solve it we get

so ratio is 3:2