A spherical cave of radius R/2 was carved out from a uniform sphere of radius R and original mass M. the center of the cave is at R/2 from the center of the large sphere. Point P is at a distance 2R from the center the large sphere and on the joing line of the two centers. the gravitational field strength g at point P is

The radius of gyration of a uniform solid sphere of radius R., about an axis passing through a point R/2 away from the centre of the sphere is:

A uniform ring of mas m and radius a is placed directly above a uniform sphere of mass M and of equal radius. The center of the ring is at a distance sqrt3 a from the center of the sphere. Find the gravitational force exerted by the sphere on the ring.

A uniform ring of mas m and radius a is placed directly above a uniform sphere of mass M and of equal radius. The center of the ring is at a distance sqrt3 a from the center of the sphere. Find the gravitational force exerted by the sphere on the ring.

The magnitude of gravitational potential energy of a body at a distance .r. from the center of the earth is V. Its weight at a distance .2r. from the center of the earth is

A cavity of radius R//2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R//2 from the centre of the sphere. The gravitational force on a particle of a mass 'm' at a distance R//2 from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here g=GM//R^(2) , where M is the mass of the solide sphere]

A cavity of radius R//2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R//2 from the centre of the sphere. The gravitational force on a particle of a mass 'm' at a distance R//2 from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here g=GM//R^(2) , where M is the mass of the solide sphere]