Where does the body weight more at the surface of the earth or in a mine ?

Where does a body weight more at the pole or at the equator ?

Where does a body weigh more at the pole or at the equator?

What is the weight of a body at the centre of the earth ?

If the earth is assumed to be a sphere of radius R, the height above the surface of the earth where the value of the acceleration due to gravity will be half its value on the earth's surface is

If the present radius of the earth is doubled keeping the mass unchanged, how will the weight of a body on the surface of the earth change ?

If the diameter of the earth becomes twice its present value but its mass remains unchanged, then how would be the weight of an object on the surface of the earth affected ?

If the radius of the earth is R , the height above the surface of the earth where the acceleration due to gravity will be 1% of its value on the earth's surface is

Show that the velocity of a body released at distance r from the centre of the earth, when it strikes the surface of the earth is given by , v=sqrt(2GM(1/R-1/r)) where R and M are the radius and mass of the earth. Also show that the velocity with which meteorites strike the earth's surface is equal to escape velocity.