Questions in gravitation

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What is the intensity of gravitational field of the centre of a spherical shell
The gravitational potential energy of a body of mass ‘m’ at the earth’s surface $ - mg{R_e}$. Its gravitational potential energy at a height ${R_e}$ from the earth’s surface will be (Here ${R_e}$ is the radius of the earth)
Escape velocity of a body of 1 kg mass on a planet is 100 m/sec. Gravitational Potential energy of the body at the Planet is
A body of mass m is placed on the earth’s surface. It is taken from the earth’s surface to a height $h = 3R$. The change in gravitational potential energy of the body is
A body of mass m kg. starts falling from a point 2R above the Earth’s surface. Its kinetic energy when it has fallen to a point ‘R’ above the Earth’s surface [R-Radius of Earth, M-Mass of Earth, G-Gravitational Constant]
A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is
Energy required to move a body of mass m from an orbit of radius 2R to 3R is
The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is
Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to
In some region, the gravitational field is zero. The gravitational potential in this region

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