A uniform sphere has a mass M and radius R. Find the pressure p inside the sphere, caused by gravitational compression, as a function of the distance r from its centre. Evaluate p at the centre of the Earth, assuming it to be a uniform sphere.

Calculate the pressure the pressure caused by gravitational compressions inside the earth , at a distance r from its centre . Take M as the mass of the earth of the earth and R as its radius .

Inside a uniform sphere of mass M and radius R, a cavity of radius R//3 , is made in the sphere as shown :

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

A uniform solid of valume mass density rho and radius R is shown in figure. (a) Find the gravitational field at a point P inside the sphere at a distance r from the centre of the sphere. Represent the gravitational field vector vec(l) in terms of radius vector vec(r ) of point P. (b) Now a spherical cavity is made inside the solid sphere in such a way that the point P comes inside the cavity. The centre is at a distance a from the centre of solid sphere and point P is a distance of b from the centre of the cavity. Find the gravitational field vec(E ) at point P in vector formulationand interpret the result.

A uniform solid of valume mass density rho and radius R is shown in figure. (a) Find the gravitational field at a point P inside the sphere at a distance r from the centre of the sphere. Represent the gravitational field vector vec(l) in terms of radius vector vec(r ) of point P. (b) Now a spherical cavity is made inside the solid sphere in such a way that the point P comes inside the cavity. The centre is at a distance a from the centre of solid sphere and point P is a distance of b from the centre of the cavity. Find the gravitational field vec(E ) at point P in vector formulationand interpret the result.

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the potential at the midpoint of the line joining the centres of the spheres is