The spaceship MoonX orbits around the Earth in the lunar orbit. The orbital period and radius are 27.3 days and 3.48 x 10^6 m. The propeller of MoonX ejects gas at a rate of 3600 kg/s, and the gas constantly leaves at a speed of 2000 m/s. The initial mass of MoonX is 7.50 x 10^10 kg.
Question 7
2 pts
6a. (2 points) Find the thrust force of MoonX in N.
Question 8
3 pts
6b. (3 points) Consider the circular motion of MoonX. What is the speed of MoonX in m/s?
Question 9
3 pts
6c. (3 points) The propeller of MoonX is turned on until it reaches a speed of 2000 m/s. What fraction of mass remains on MoonX compared to the initial mass?
(Your answer should be a number between 0 and 1.)
Question 10
2 pts
6d. (2 points) How much time (in minutes) has the propeller of MoonX been turned on?