Planet Lex is four times as massive as the Earth and has a radius four times larger than the Earth's radius. Note: You do not have to express your answers in scientific notation.

Mass of the Earth = 5.97 x 1024 kg

Radius of the Earth = 6.37 x 106 m

a. What is the value of the acceleration due to gravity (in m/s2) on the surface of this planet? Round off your answer up to two decimal digits.

b. At what altitude, h, above the surface of the Earth (in meter) is the value of the acceleration due to gravity equal to that on the surface of Planet Lex? Round off your answer in two decimal digits.

c. If a GPS satellite of mass 2000 kg is to be placed in a circular orbit at this altitude, h, from the Earth's surface, find the value of tangential speed (in m/s). Round off your answer up to two decimal digits.

d.Find the period of rotation (in seconds) of the GPS satellite at this altitude, h, above the surface of Earth.

e. Find the magnitude of the centripetal force (in Newton) exerted by the Earth on the GPS satellite at this altitude.