Question 241: Gravitation

Question

Two satellites S
1
and S
2
are revolving in circular orbits around a planet with radius R
1
= 3200 km and R
2
= 800 km respectively. The ratio of speed of satellite S
1
to be speed of satellite S
2
in their respective orbits would be $${1 \over x}$$ where x = ___________.

Accepted Answer

$$v = \sqrt {{{GM} \over R}} $$
$$ \Rightarrow {{{v_1}} \over {{v_2}}} = \sqrt {{{{R_2}} \over {{R_1}}}} $$
$${{{v_2}} \over {{v_1}}} = \sqrt {{{3200} \over {800}}}  = 2$$
$$ \Rightarrow {{{v_1}} \over {{v_2}}} = {1 \over 2}$$
$$x = 2$$

Gravitation

Two satellites S 1 and S 2 are revolving in circular orbits around a planet with radius R 1 = 3200 km and R 2 = 800 km respectively. The ratio of speed of satellite S 1 to be speed of satellite S 2 in their respective orbits would be ${1 \over x}$ where x = ___________.

Integer / Numeric Answer Type