Figure 1 shows Jupiter (mjupiter = 1.898 x 1027 kg), along with the orbit of three Gallean moons: lo (mo = 8.932 × 10?2 kg, mean distance from Jupiter 421,700km), Europa (M Europa = 4.8 x 1022 kg, mean distance from Jupiter 670,900km), and Ganymede (Mcanymede = 1.48 x 1023 kg, mean distance from Jupiter 1,070,400km). Assume for this problem that all three moons have a circular orbit around Jupiter. a. For part a, consider only the gravitational attraction between Jupiter and Ganymede. Find Ganymede's period around Jupiter. Give your answer in days. b. For parts b and c, consider the gravitational attraction of the three Galilean moons to each other, and ignore Jupiter itself. Go to figure 1 and label the gravitational forces on all three Galilean moons from each of the other moons. Indicate which forces have the same magnitudes. C. Given that the moons are in the position shown (Europa and lo are in line with Jupiter, and this line makes a right angle with the line from Jupiter to Ganymede) find the net gravitational force on Ganymede from the other two moons.

Figure 1 shows Jupiter (mjupiter = 1.898 x 1027 kg), along with the orbit of three Gallean moons: lo (mo = 8.932 × 10?2 kg, mean distance from Jupiter 421,700km), Europa (M Europa = 4.8 x 1022 kg, mean distance from Jupiter 670,900km), and Ganymede (Mcanymede = 1.48 x 1023 kg, mean distance from Jupiter 1,070,400km). Assume for this problem that all three moons have a circular orbit around Jupiter. a. For part a, consider only the gravitational attraction between Jupiter and Ganymede. Find Ganymede's period around Jupiter. Give your answer in days. b. For parts b and c, consider the gravitational attraction of the three Galilean moons to each other, and ignore Jupiter itself. Go to figure 1 and label the gravitational forces on all three Galilean moons from each of the other moons. Indicate which forces have the same magnitudes. C. Given that the moons are in the position shown (Europa and lo are in line with Jupiter, and this line makes a right angle with the line from Jupiter to Ganymede) find the net gravitational force on Ganymede from the other two moons.

Horizons: Exploring the Universe (MindTap Course List)

14th Edition

ISBN:9781305960961

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter20: Astrobiology: Life On Other Worlds

Section: Chapter Questions

Problem 15RQ

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