1.Halley's comet moves about the sun in an elliptical orbit with its closest approach to the sun being 0.59 A.U. and its furthest distance being 35 A.U. [1 Astronomical Unit (A.U.) is the Earth-Sun distance.] If the comet's speed at closest approach is 54 km/s, what is its speed when it is farthest from the Sun?
2.What is the angular momentum of the moon about the Earth? The mass of the moon is 7.35 10 22 kg, the center-to-center separation of the Earth and the Moon is 3.84 10 5 km, and the orbital period of the moon is 27.3 days. Ignore the small offset of the center of mass of the system from the center of the Earth in your calculation.
3. A regulation basketball has a 25.0-cm diameter and a mass of 0.560 kg. It may be approximated as a thin spherical shell with a moment of inertia MR 2. Starting from rest, how long will it take a basketball to roll without slipping 4.00 m down an incline at 30.0 to the horizontal?
4. A coin with a diameter 3.00 cm rolls up a 30.0 inclined plane. The coin starts out with an initial angular speed of 60.0 rad/s and rolls in a straight line without slipping. If the moment of inertia of the coin is MR 2, how far will the coin roll up the inclined plane?
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