please help solve these
questions
(1a). The gravitational field strength
g on the earth’s surface is
9.8N/kg. explain what this
means.(b) Using the law of gravity,
show that gr2= k. Where g=gravitational field strength at a
distance r from the center of the
earth (r>Re), where Re is the radius of the earth.
(2). Determine the velocity which a body released at a
distance r from the center of the
earth when it strikes the earth surface.
(3). A 500kg spaceship is in a circular orbit of radius 2Re about
the earth. (a)How much energy is required to transfer the spaceship to a
circular orbit of radius 4Re. (b)Discuss the change in potential
energy, kinetic energy and the
total energy of the system.
(4). State the universal law of gravitation. (b)Derive the
relationship between the gravitational constant G and
acceleration of free fall g at a point close to the earth surface
(assume that the earth is a sphere of uniform density).
(5). Show that theoretically the
period of rotation of a satalite T,
which circles a planet at negligible distance from its surface depends only on the
density of the planet