Question

You 2. You wake up one morning to find that you have been 2x109 m abducted by aliens. In a desperate escape attempt, you steal a small spacecraft and try to run away. Once you leave the alien saucer, you realize you are in orbit around an unknown 2x1028 kg planet with a very large moon. a. Using the distances and masses of the bodies in the 5x10m (not to scale) given diagram, calculate the speed that you need to reach in order to escape the gravitational pull of this system. b. In your haste to leave the alien saucer, you forgot to 5x1027 kg refuel your little ship. Upon realizing that you do not 8x10 m have enough fuel to achieve the speed in part A, you decide to go into orbit around the planet (the bigger one). Assuming you are not moving in the diagram, what minimum speed is required to go into orbit of the larger body without hitting it (remember: 2a =ra +rp). Ignore any gravitational effects of the moon. c. How fast will your ship be moving at the periapsis of the orbit you designed in part B?

Answer 1

field of the O to escape it from from the growitalsonal given syskan tolal positive that energy ܠܘ should be point KE APE >O 5 m GMpm 81 mya 6 M mm 20 2. GMP + 2 GMm os V > 26 5x1027 2x1026 + 5x108 Trio r² > 29 (1o's + 1015) 2 > 2x6.674 X jo o="(104+1)x1015 w? > 2x 6.674 X 10 36534.914 mls. 36534.Glumis. with His velocity body com escabe. 2 from anghlar momentum Conservation mveen 5x108 = mix peri X 8x107 a Periapsis Nperi Veze x 50 vreaks

Now from energy conswahon Timm 1 / 2 on Vreu GMm muperi veeg? Vela 2 x625 G 19 58108 2 8x10 16 vaa bog :- 6.674% 5x1027 (4.2)x10-" 40x10 15 Vrea 1.356 mis: 3 Versiaphs. T Near x 25 4 8.48 mis.