Question 431: Gravitation

Question

The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be

Accepted Answer

Orbital velocity of a satellite in a circular orbit of radius a is given by
$$v = \sqrt {{{GM} \over a}} $$
$$ \Rightarrow v \propto \sqrt {{1 \over a}} $$
$$ \Rightarrow {{{v_2}} \over {{v_1}}} = \sqrt {{{{a_1}} \over {{a_2}}}} $$
$$ 	herefore $$ $${v_2} = {v_1}\sqrt {{{4R} \over R}} $$ = 2v
1
= 6V

Answer

$${{3V} \over 4}$$

Answer

6$$V$$

Answer

12$$V$$

Answer

$${{3V} \over 2}$$

Gravitation

The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be

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