Mars has a mass of 6.417*1023kg, a radius of 3390 km, and a rotation period of 24.62 hours.

  (a) Calculate the acceleration due to gravity on the surface of Mars. 

(b) What is the period of a simple pendulum of length 1.000 meters on the surface of Mars? 

 (c) What is the radius of a Mars-synchronous orbit? 

 (d) What is the speed of a satellite in a Mars-synchronous orbit?  

(e) What launch speed from Mars’s surface is required to get a satellite into Mars-synchronous orbit?  You may neglect air resistance and any rotation effects at the Martian surface in your analysis.  The universal gravitational constant is G = 6.674*10-11N m2 kg-2.