Two particles of equal mass $'m'$ go around a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is
$\sqrt {\frac{{Gm}}{R}} $
$\sqrt {\frac{{Gm}}{{4R}}} $
$\sqrt {\frac{{Gm}}{{3R}}} $
$\sqrt {\frac{{Gm}}{{2R}}} $
In a satellite if the time of revolution is $T$, then $P E$ is proportional to ..........
A satellite in force free space sweeps stationary interplanetary dust at a rate of $\frac{d M}{d t}=\alpha v$ where $M$ is mass and $v$ is the speed of satellite and $\alpha$ is a constant. The acceleration of satellite is
The force of gravitation is
A rocket is projected in the vertically upwards direction with a velocity kve where $v_e$ is escape velocity and $k < 1$. The distance from the centre of earth upto which the rocket will reach, will be
The escape velocity from a planet is $V_e.$ A tunnel is dug along the diameter of the planet and a small body dropped into it. The speed of the body at the centre of the planet will be