Question 191: Gravitation

Question

A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the
orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape
velocity from the planet is:

Accepted Answer

$${V_0} = \sqrt {{{GM} \over r}} $$
$${V_e} = \sqrt {{{2GM} \over r}} $$
$$ 	herefore $$ $${{{V_0}} \over {{V_e}}} = \sqrt {{{GM} \over r} 	imes {{2GM} \over r}}  = {1 \over {\sqrt 2 }}$$

Answer

2

Answer

1

Answer

$$\sqrt 2 $$

Answer

$${1 \over {\sqrt 2 }}$$

Gravitation

A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:

Choose the correct answer: