l34 Assignment 1 1 Unit C Module 1, Lesson 3: Kepler's Three Laws of Planetary Motion Lesson 1 of this assignment is worth 13 marks. The value of each question is noted in the left margin in parentheses. 1. Using your own words, briefly summarize each of Kepler's three laws below. 2. Use the information below to answer parts ab. planet '5. r1 = 1.283 x 1011 m r2 = 1.709 x 1011 m a} What is the length of the major axis of the elliptical orbit? b) Express the length of the major axis in AU. {1.496 x 1011 m equals 1.000 AU.) c) What planet is represented in this question? Explain. (Note: the major axis represents the longest orbital diameter of an elliptical orbit.) 3. Answer parts ac regarding Pluto and its moons. a} Calculate the orbital radius of Pluto in AU if its orbital period is 248 Earth years. b) Pluto's largest moon, Charon {which is nearly halfthe size of Plutoll, has an orbital period of 153 hours. Can you use the information from part a) to calculate Charon's orbital radius? Explain. c) One of Pluto's smaller moons, Nix, has an orbital period of 24.85 days and an orbital radius of 48 690 km. Calculate Charon's orbital radius in km. (2} After you have completed all questions in Lesson 3, please place your assignment in a safe place until you have finished Lesson 4. Unit C Module 1, Lesson 4: Planetary and Satellite Motion Lesson 2 of this assignment is worth 21 marks. The value of each question is noted in the left margin in parentheses. 4. Use the information below to answer parts ab. The International Space Station (ISS) orbits the Earth at an altitude (distance above the surface of the Earth) of 408 km, conducting various experiments in a \"weightless\" environment. 8) Consider the forcels) acting on the ISS and write a simplified equation relating its forcels) to speed. Air resistance is negligible. (HINT: The centripetal force is equal to the net inward force on an object. You are being asked to write an {1) equation to find speed.) b) Calculate the acceleration of the ISS. (Any constant values needed for your calculation can be found on your Physics 20 data sheets.) :2} Calculate the orbital period ofthe ISS. Answer in minutes. d) Determine the speed that a rocket carrying supplies for the ISS would have to achieve in order to enter orbit at the same altitude as the ISS. Assume air resistance is negligible. a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. b) Calculate the percent error (formula on data sheet) in your answer for part a using the actual value from your data sheet. Answer to the nearest percent. c} Identify the main reason for error in using centripetal force in elliptical orbital questions like part a. 6. The Hubble Space Telescope orbits the Earth every 95 minutes, taking breathtaking images of our universe. Calculate its altitude above the Earth's Surface. 7. Read the article "Then, Now, and Future: Extra Solar Pionets\" on p. 283 of your textbook. Briefly summarize a method for finding extrasolar planets referencing Newton's Universal Law of Gravitaticm and Newton's Third Law, then explain why it is unlikely that planets found using this method would support life {as we know it.) You're done! Once you've completed and checked all of your solutions, submit all of Assignment 11 to the appropriate dropbox in Moodle