Two satellite $A$ and $B$, ratio of masses 3 : 1 are in circular orbits of radii $r$ and $4r$. Then ratio of total mechanical energy of $A$ to $B$ is

Question

Dr. Abubacker · Accepted Answer

(d) Total mechanical energy of satellite
$E = \frac{- GMm}{2r} \Rightarrow \frac{E_{A}}{E_{B}} = \frac{m_{A}}{m_{B}} 	imes \frac{r_{B}}{r_{A}} \Rightarrow \frac{3}{1} 	imes \frac{4r}{r} = \frac{12}{1}$

Q. Two satellite $A$ and $B$, ratio of masses 3 : 1 are in circular orbits of radii $r$ and $4r$. Then ratio of total mechanical energy of $A$ to $B$ is

Explanation

Reviewed by Dr. Abubacker

Want more practice?