Question

Two satellites, of masses m and 2 m, are on the same circular orbit around earth. If the velocity of the lighter satellite is $v_o$ , what is the velocity of the heavier satellite?

• A. $\frac{1}{2}{v}_o$
• B. $v_o$
• C. $2v_o$
• D. $\frac{1}{4}{v}_o$

Answer 1

The correct option is B $v_o$

When satellite is orbiting in the circular orbit around earth

$\text{Centrifugal force= gravitational force}$

$\frac{m{v}^2}{r}=\frac{GMm}{r^2}$

$v=\sqrt{\frac{GM}{r}}$

Thus velocity is independent on mass of the satellite