To launch a satellite at a height h above the surface of the earth (radius R) a two stage rocket is used . The first stage is used to lift the satellite to the desired height and the econd stage is used to impart it a tangential velocity so as to put it in a circular orbital. Assume (incorrectly) that the mass of rocket is negligible and that there is no tmospheric resistance. If `E_(1)` and `E_(2)` are the energies delivered by the first and the second stage of the rocket. Calculate the ratio `(E_(2))/(E_(2))` Calculate the time period of the satellite if it is given that `(E_(2))/(E_(2))=1.` Take mass of the earth to be M.

Answer

(a) `(2h)/R`
`(b) sqrt((27pi^(2)R^(3))/(2GM))`