Question

Question 4 20 pts A probe is orbiting a distant moon. The moon has a mass of M 5.0 x 1022 kg and a radius of R=1.5 x 106m. The probe makes one revolution every 6 hours. a) Find the distance the probe is above the surface of the moon. b) At what minimum velocity would would a rocket launched from the surface of the moon be able to reach a distance of 2.2 x 10m from the center of the moon. Neglect any non-gravitational effects. Upload Choose a File

Answer 1

M=5.0*1022 R = 1.5X106 m O MR Fc - amm my2 r GM - W = 2T GM 83 Gm 472 T2 83 = = (GMT 47² 16.67810 x 5x10² r 1642 22 x (6 x 60 x 60) 8= 8.4 x 106m a) distance from surface of moon 8.4 - 1.5) x 106-109x106 b) v=o vo = 202X 106 MEI Mef Im Vo² - amm -Gmm R r 2

Vo = Jam [ ² - - 2x6-67x1011 X 5X1022 = 1189.47 mis. = 1189.47 mis