A small asteroid is approaching a planet of mass M and radius R from a large distance. Initially its velocity (u) is along a tangent to the surface of the planet. It fall on the surface making an angle of `30^(2)` with the vertical. Calculate u.

If v_(e) is the escape velocity of a body from a planet of mass 'M' and radius 'R . Then the velocity of the satellite revolving at height 'h' from the surface of the planet will be

Mass and radius of a planet are two times the value of earth. What is the value of escape velocity from the surface of this planet?

Mass and radius of a planet are two times the value of earth. What is the value of escape velocity from the surface of this planet?

The angular velocity of rotation of a planet of mass M and radius R, at which the matter start to escape from its equator is

The angular velocity of rotation of a planet of mass M and radius R, at which the matter start to escape from its equator is

What will be the gravitational potential on the surface of a planet of mass M and radius R ?

The earth is a homogeneous sphere of mass M and radius R. There is another spherical planet of mass M and radius R whose density changes with distance r from the centre as p=p_(0)r. (a) Find the ratio of acceleration due to gravity on the surface of the earth and that on the surface of the planet. (b) Find p_(0).

Escape velocity of a body from the surface of a spherical planet of mass M, radius R and density p is

A planet has mass 6.4 xx10^24 kg and radius 3.4 xx10^6 m. Calculate energy required to remove on object of mass 800 kg from the surface of the planet to infinity.

A small asteroid is at a large distance from a planet and its velocity makes an angle phi(cancel(=)0) with line joining the asteroid to the centre of the planet. Prove that such an asteroid can never fall normally on the surface of the planet.