Question

two satellites A and B go around the planet P in circular orbit having radius 4R and R. If the speed of the satellite A is 3v. Then find the speed of the satellite B

Answer 1

Orbital velocity of a planet of mass M at a distance R from its centre is given by 

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

For A, radius = 4R, velocity = 3v
for B, radius = R, velocity = ?

 $\frac{v_a}{v_b} = \sqrt{ \frac{GM}{R_a} }/\sqrt{ \frac{GM}{R_b} }\\ \\ \frac{v_a}{v_b} = \sqrt{ \frac{R_b}{R_a} }= \sqrt{\frac{R}{4R}}=\\ \\ \frac{3v}{v_b} = \frac{1}{2} \\ \\v_b=2 \times 3v=6v$

Speed of satellite B is 6v.

Answer 2

Answer:

Explanation: Hi friends.... I hope clear its solution!!!