Scientists want to place a 4 × 103 kg satellite inorbit around Mars. They plan to have the satellite orbit a distanceequal to 2.3 times the radius of Mars above the surface of theplanet. Here is some information that will help solve thisproblem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
G = 6.67428 x 10-11 N-m2/kg2
1)
What is the force of attraction between Mars and thesatellite?
2)
What speed should the satellite have to be in a perfectlycircular orbit?
3)
How much time does it take the satellite to complete onerevolution?
4)
What should the radius of the orbit be (measured from the centerof Mars), if we want the satellite to take 8 times longer tocomplete one full revolution of its orbit?
