A satellite $S$ is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth
the acceleration of $S$ is always directed towards the centre of the earth
the angular momentum of $S$ about the centre of the earth changes in direction, but its magnitude remains constant
the total mechanical energy of $S$ varies periodically with time
the linear momentum of $S$ remains constant in magnitude
Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force of attraction between the planet and the star is proportional to $R^{-5/2}$, then,
The potential energy of a satellite of mass $m$ and revolving at a height $R_e$ above the surface of earth where $R_e =$ radius of earth, 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
Which of the following graph represents the variations of acceleration due to gravity $(g)$ with distance $r$ from the centre of earth?
If $R$ is the radius of earth and $g$ is the acceleration due to gravity on the earth's surface. Then mean density of earth is ..........