1.

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

Answer»

Solution :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 = 6400km,h_(2) = 19200 km`
R = 6400 km.
`(V_(01))/(V_02)=sqrt((6400+19200)/(6400+6400))=sqrt((25600)/(12800))=sqrt2/1`


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