A diametrical tunnel is dug across the earth. A ball dropped into the tunnel from one side. The velocity of the ball when it reaches the centre of the earth is [Given: gravitational potential at the centre of earth `= -3//(2GM//R)`]

The gravitational potential at centre of earth is

If a tunnel is dug along the diameter of the earth and a ball is dropped into the tunnel, it will have

Assume that there is a tunnel in the shape of a circular arc through the earth. Wall of the tunnel is smooth. A ball of mass m is projected into the tunnel at A with speed v. The all comes out of the tunnel at B and escapes out of the gravity of the earth. Mass and radius of the earth are M and R respectively and radius of the circle shaped tunnel is also . Find minimum possible value of v (call it v_(0) ) If the ball is projected into the tunnel with speed v_(0) , calculate the normal force applied by the tunnel wall on the ball when it is closest to the centre of the earth. It is given that the closest distance between the ball and the centre of the earth is (R)/(2)

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)

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)

If a tunnel is dug along the diameter of earth and a piece of stone is dropped into it, then the stone will