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 gravit…

Question

asked Aug 22, 2020 110k views

1 Answer

Abdul Khaliq · Answer 1 · 2020-08-26T23:59:40+0000

Answer:

ratio of velocity is 3:2

Step-by-step 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 =
$\sqrt{(G*M)/(r)}$

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 =
$\sqrt{(G*M)/(B)}$ .........................2

here r is B

and

for orbit A velocity is V2

V2 =
$\sqrt{(G*M)/(2.40 B)}$

so here r is 2.40 B

sop from equation 2 and 3

$(V1)/(V2) = \sqrt{((G*M)/(B) )/((G*M)/(2.40 B))}$

solve it we get

(V1)/(V2) = √(2.40)

(V1)/(V2) =(3)/(2)

so ratio is 3:2