Gravitation Tes...

The angular velocity of rotation of a star (mass M and radius R), such that the matter will start escaping from its equator is:

A body of mass $$m$$ is raised from the surface of the earth to a height $$nR$$ ($$R$$-radius of earth). Magnitude of the change in the gravitational potential energy of the body is ($$g$$- acceleration due to gravity on the surface of earth) :

The work done to increase the radius of orbit of a satellite of mass $$m$$ revolving around a planet of mass $$M$$ from orbit of radius $$R$$ into another orbit of radius $$3R$$ is :

If $$g$$ is acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass $$m$$  raised from the surface of the earth to a height equal to the radius $$R$$  of the earth is:

Energy required to move a body of mass m from an orbit of radius 2R to 3R is:

The change in the P.E., when a body of mass $$m$$ is displaced from Earth's surface to a vertical height equal to radius of earth (g $$=$$ acceleration due to gravity on earth surface) is:

If $$g$$ is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass $$m$$ raised from the surface of the earth to a height equal to the radius $$R$$ of the earth is

A small body is initially at a distance $$r$$ from the centre of earth. $$r$$ is greater than the radius of the earth. If it takes $$W$$ joules of work to move the body from this position to another position at a distance $$2r$$ measured from the centre of earth, then how many joules would be required to move it from this position to a new position at a distance of $$3r$$ from the centre of the earth.

A satellite of mass $$m$$ moves along an elliptical path around the earth. The areal velocity of the satellite is proportional to

A person bring a mass of $$1 kg$$ from infinite to point $$A$$. Initially the mass was at rest but is moves a speed of $$2 m /s$$ as it reaches to $$A$$. The workdone by the person on mass is $$-3 J$$ the gravitational potential at $$A$$ is