What impulse need to be given to a body of mass `m`, released from the surface of earth along a straight tunnel passing through centre of earth, at the centre of earth, to bring it to rest. (Mass of earth M, radius of earth R)

What is the type of motion of a body along the tunnel passing through the centre of the earth?

The mass of a body at the centre of the earth is

The mass of a body at the centre of the earth is

The height from the surface of earth at which the gravitational potential energy of a ball of mass m is half of that at the centre of earth is (where R is the radius of earth)

The height from the surface of earth at which the gravitational potential energy of a ball of mass m is half of that at the centre of earth is (where R is the radius of earth)

What is the workdone in bringins a body of mass m from infinity to the surface of Earth of radius R and mass m ?

A tunnel is dug across the diameter of earth. A ball is released from the surface of Earth into the tunnel. The velocity of ball when it is at a distance (R )/(2) from centre of earth is (where R = radius of Earth and M = mass of Earth)