Planet Lex is four times as massive as the Earth and has aradius four times larger than the Earth's radius. Note: Youdo not have to express your answers in scientificnotation.
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 togravity (in m/s2) on the surface of thisplanet? Round off your answer up to two decimal digits.
b.
At what altitude, h, above thesurface of the Earth (in meter) is the value of the accelerationdue to gravity equal to that on the surface of PlanetLex? Round off your answer in two decimal digits.
c.
If a GPS satellite of mass 2000 kg is to be placed in a circularorbit at this altitude, h, from the Earth'ssurface, find the value of tangentialspeed (in m/s). Round off your answer up to two decimaldigits.
d.
Find the period of rotation (in seconds) of theGPS satellite at this altitude, h, abovethe surface of Earth.
e.
Find the magnitude of the centripetal force (inNewton) exerted by the Earth on the GPS satellite at thisaltitude.
