A stationary object is released from a point P a distance 3R from the centre of the moon which has radius R and mass M. which one of the following expressions gives the speed of the object on hitting the moon?

A point mass m is released from rest at a distance of 3R from the centre of a thin-walled hollow sphere of radius R and mass M as shown. The hollow sphere is fixed in position and the only force on the point mass is the gravitational attraction of the hollow sphere. There is a very small hole in the hollow sphere through which the point mass falls as shown. The velocity of a point mass when it passes through point P at a distance R//2 from the centre of the sphere is

A point mass m is released from rest at a distance of 3R from the centre of a thin-walled hollow sphere of radius R and mass M as shown. The hollow sphere is fixed in position and the only force on the point mass is the gravitational attraction of the hollow sphere. There is a very small hole in the hollow sphere through which the point mass falls as shown. The velocity of a point mass when it passes through point P at a distance R//2 from the centre of the sphere is

An object is propelled vertically to a maximum height of 4R from the surface of a planet of radius R and mass M. The speed of object when it returns to the surface of the planet is -

P is a point at a distance r from the centre of a spherical shell of mass M and radius a, where r lt a. The gravitational potential at P is

P is a point at a distance r from the centre of a spherical shell of mass M and radius a, where r lt a . The gravitational potential at P is

Find potential at a point 'P' at a distance 'x' on the axis away from centre of a uniform ring of mass M and radius R .