A comet is in an elliptical orbit around the Sun, thanks to the Sun's gravitational pull; this force is always towards the Sun. In the diagram below the comet is moving clockwise, and the position at five different times is show 1 D E B 5a. Draw the force and the velocity vectors of the comet onto the diagram at each of the five positions A-E. 5b. At each of the positions, is the work done by the gravitational force of the Sun positive, negative or zero? Underline the correct answer, and briefly explain: A: B: C: D: E: W > 0 W > 0 W > 0 W > 0 W > 0 W < 0 W <0 W < 0 с W <0 W < 0 W = 0 W = 0 W = 0 W = 0 W = 0 5c. At which position is the kinetic energy of the comet greatest? Why? 5d. What is (i.e., calculate) the torque of the force of gravity relative to the Sun's position? Com- ment on/calculate the vector angular momentum of the comet relative to the Sun's position, and discuss the variation of the speed of the comet along its orbit.

A comet is in an elliptical orbit around the Sun, thanks to the Sun's gravitational pull; this force is always towards the Sun. In the diagram below the comet is moving clockwise, and the position at five different times is show 1 D E B 5a. Draw the force and the velocity vectors of the comet onto the diagram at each of the five positions A-E. 5b. At each of the positions, is the work done by the gravitational force of the Sun positive, negative or zero? Underline the correct answer, and briefly explain: A: B: C: D: E: W > 0 W > 0 W > 0 W > 0 W > 0 W < 0 W <0 W < 0 с W <0 W < 0 W = 0 W = 0 W = 0 W = 0 W = 0 5c. At which position is the kinetic energy of the comet greatest? Why? 5d. What is (i.e., calculate) the torque of the force of gravity relative to the Sun's position? Com- ment on/calculate the vector angular momentum of the comet relative to the Sun's position, and discuss the variation of the speed of the comet along its orbit.

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