Two satellites of earth `S_(1)` and `S_(2)` are moving in the same orbit. The mass of `S_(1)` is four times the mass of `S_(2)`. Which one of the following statements is true?

Options

A. The kinetic energies of the two satellites are equal
B. The time period of `S_(1)` is four times that of `S_(2)`
C. The potential energies of earth and satellite in the two cases are equal
D. `S_(1) and S_(2)` are moving with the same speed

Answer

D

Explanation

`K.E.=(GMm)/(2r) implies` Kinetic energies are unequal
`T=(2pir^(3//2))/(sqrt(GM))implies`Time period are equal
`P.E.=-(GMm)/(r)implies` Potential energies are unequal
`v=sqrt((Gm)/(r))implies ` Orbital speeds are equal