A satellite moves in a circle around the earth. The radius of this circle is equal to one half the r

Question

A satellite moves in a circle around the earth. The radius of this circle is equal to one half the radius of the moon's orbit. This satellite completes one revolution in\

Professor PC Thomas Classes · Answer

$ \mathrm{T}_{\mathrm{m}}^{2}  \propto\ r^3 \\mathrm{T}_{\mathrm{s}}^{2} \propto\left(\frac{\mathrm{r}}{2}ight)^{3} $ \ $\frac{\mathrm{T}_{\mathrm{s}}^{2}}{\mathrm{~T}_{\mathrm{m}}^{2}}=\frac{1}{2^{3}}=2^{-3}$\ $\frac{\mathrm{T}_{\mathrm{s}}}{\mathrm{T}_{\mathrm{m}}}=2^{\frac{-3}{2}}$\