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1. (1 pts) Where is the Sun with respect to the elliptical orbit of a planet? 2. (2 pts) For all planets in the solar system, which one has the shortest orbital period and which one has the longest orbital period? Why? (Hint: Kepler's third law) 3. (9 pts) Assuming a planet is orbiting the Sun with a circular orbit (constant orbital radius of L) as shown in Figure 1. As the planet moves from A to B, its speed stays the same (VA = VB) according to Kepler's second law. a) (2 pts) Does the velocity stay the same from A to B? If not, how does the velocity change? b) (1 pt) What changes velocity and momentum? (hint: Newton's second law) c) (2 pts) Is there any net force on the planet? If so, what is the force? d) (1 pt) Does the planet's momentum change from A to B? e) (1 pt) What changes angular momentum? f) (1 pt) Is there any torque on the planet? g) (1 pt) Does the orbital angular momentum of the planet change from A to B? B

Fig: 1