RW 12a Name_____________________About this assignmentGravitational potential energy; energy graphs (Sections 4.4.9-4.5.5,pages 133-139)1. The diagram above shows the path of a comet orbiting a star. You will be asked to rank order various quantities in terms of their values at the locations marked on the path, with the largest first. You can use the symbols ">" and "=". For example, if you were asked to rank order the locations in terms of their distance from the star, largest first, you would write: "A > B > C > D > E"Rank order the locations on the path in terms of the magnitude of the comet's momentum at each location, starting with the location where the magnitude of the momentum is the largest: ________________________Rank order the locations on the path in terms of the comet's kinetic energy at each location, starting with the location where the kinetic energy is the largest:________________________Consider the system of the comet plus the star. Which of the following statements are correct?a. As the comet slows down, the kinetic energy of the system decreases.b. As the comet's kinetic energy increases, the gravitational potential energy of the system also increases.c. As the comet slows down, energy is lost from the system.d. As the kinetic energy of the system increases, the gravitational potential energy of the system decreases.e. External work must be done on the system to speed up the comet.Still considering the system of the comet plus the star, which of the following statements are correct?a. Along this path the gravitational potential energy of the system is never zero.b. The sum of the kinetic energy of the system plus the gravitational potential energy of the system is the same at every location along this path.c. The gravitational potential energy of the system is inversely proportional to the square of the distance between the comet and star.d. The sum of the kinetic energy of the system plus the gravitational potential energy of the system is a positive number.e. At every location along the comet's path the gravitational potential energy of the system is negative.Rank order the locations on the path in terms of the potential energy of the system at eachlocation, largest first. (Remember that -3 > -5).___________________________2. The diagram below is a graph of the energy of a system of a planet interacting with a star.Suppose that K+Ug of the system is A. Which of the following statements are true?a. The kinetic energy of the system is greater when the distance between the star and planet is r1 than when the distance between the two bodies is r2.b. The planet will escape.c. When the separation between the two bodies is r2, the kinetic energy of the system is (B - C).d. The planet will fall into the star.e. The system is a bound system; the planet can never escape.f. When the separation between the two bodies is r2, the kinetic energy of the system is (A - B).Suppose instead that K+Ug of the system is B. Which of the following statements are true?a. When the separation between the planet and star is r2, the potential energy of the system is zero.b. The planet and star cannot get farther apart than r2.c. This is not a bound system; the planet can escape.d. When the separation between the planet and star is r2, the kinetic energy of the system is zero.3. A comet is in an elliptical orbit around the Sun. Its closest approach tothe Sun is a distance of 4.7 ×1010 m (inside the orbit of Mercury), at which point its speed is 9.5 ×104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 ×1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.)speed = ______________
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