Find the ratio of the orbital speeds to two satellites of the earth if the satellites are at height 6400km and 19200km. (Radius of the earth = 6400km.)

Explanation

Orbital speed , `V_0=sqrt((GM)/(R+h))`
The ratio of the orbital speeds of two satellites around the earth is
`V_(01)/V_(02)=sqrt((R+h_2)/(R+h_1))`
Where `h_1` and `h_2` are the heights of the satellites
In this problem `h_1`=6400 Km, `h_2`= 19200 km, R=6400 km.
`V_(01)/V_(02)=sqrt((6400+19200)/(6400+6400))=sqrt(25600/12800)=sqrt2/1`