Physics - Gravitation Question with Solution | TestHub

The orbital speed of a satellite is given by $v=\sqrt{\frac{GM}{r}}$.

This implies $v\propto \frac{1}{\sqrt{r}}$.

For satellites P and Q, the ratio of their speeds is:

$\frac{v_Q}{v_P}=\sqrt{\frac{r_P}{r_Q}}$

Given $r_P=3R$, $r_Q=R$, and $v_P=2V$.

Substituting the values:

$\frac{v_Q}{2V}=\sqrt{\frac{3R}{R}}=\sqrt{3}$

$v_Q=2\sqrt{3}V$

Answer: $2\sqrt{3}V$