Assume that a tunnel is dug across the earth (radius=R) passing through its centre. Find the time a particle takes to reach centre of earth if it is projected into the tunnel from surface of earth with speed needed for it to escape the gravitational field to earth.

Assume that a tunnel is dug across the earth (radius=R) passing through its centre. Find the time a particle takes to cover the length of the tunnel if (a) it is projected into the tunnel with a speed of sqrt((gR) (b) it is relased from a height R above the tunnel (c ) it is thrown vertically upward along the length of tunnel with a speed of sqrt(gR).

Assume that a tunnel is dug across the earth (radius=R) passing through its centre. Find the time a particle takes to cover the length of the tunnel if (a) it is projected into the tunnel with a speed of sqrt((gR) (b) it is relased from a height R above the tunnel (c ) it is thrown vertically upward along the length of tunnel with a speed of sqrt(gR).

Assume that a tunnel is dug across the earth (radius=R) passing through its centre. Find the time a particle takes to cover the length of the tunnel if (a) it is projected into the tunnel with a speed of sqrt((gR) (b) it is relased from a height R above the tunnel (c ) it is thrown vertically upward along the length of tunnel with a speed of sqrt(gR).

A tunnel is made across the earth passing through its center. A ball is dropped from a height h in the tunnel. The motion will be periodic with time period::

A tunnel is made inside earth passing throgh centre of earth. A particle is dropped from the surface of earth. Select the correct statement :

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)

Assume that a frictionless tunnel is made in the earth along its diameter, a particle in projected in the tunnel from the surface of the earth with an initial speed v_(0)=sqrt(gR) , where g is the acceleration due to gravity on the earth's surface & R is the radius of the earth, if time taken by the particle to reach the centre of the earth is (pi)/(n)sqrt((4R)/(g)) the value of n is?

Assume that a frictionless tunnel is made in the earth along its diameter, a particle in projected in the tunnel from the surface of the earth with an initial speed v_(0)=sqrt(gR) , where g is the acceleration due to gravity on the earth's surface & R is the radius of the earth, if time taken by the particle to reach the centre of the earth is (pi)/(n)sqrt((4R)/(g)) the value of n is?