(a) A planet is in an elliptical orbit around a distant star. At its closest approach, the planet is 0.580 AU from the star and has a speed of 54.0 km/s. When the planet is at its farthest distance from the star of 37.0 AU, what is its speed (in km/s)? (1 AU is the average distance from the Earth to the Sun and is equal to 1.496 x 10¹¹ m. You may assume that other planets and smaller objects in the star system exert negligible forces on the planet.) km/s (b) What If? A comet is in a highly elliptical orbit around the same star. The comet's greatest distance from the star is 20,900 times larger than its closest distance to the star. The comet's speed at its greatest distance is 2.70 x 10-² km/s. What is the speed (in km/s) of the comet at its closest approach? km/s

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(a) A planet is in an elliptical orbit around a distant star. At its closest approach, the planet is 0.580 AU from the star and has a speed of
54.0 km/s. When the planet is at its farthest distance from the star of 37.0 AU, what is its speed (in km/s)? (1 AU is the average
distance from the Earth to the Sun and is equal to 1.496 x 10¹¹ m. You may assume that other planets and smaller objects in the star
system exert negligible forces on the planet.)
km/s
(b) What If? A comet is in a highly elliptical orbit around the same star. The comet's greatest distance from the star is 20,900 times
larger than its closest distance to the star. The comet's speed at its greatest distance is 2.70 x 10-² km/s. What is the speed (in
km/s) of the comet at its closest approach?
km/s
Transcribed Image Text:(a) A planet is in an elliptical orbit around a distant star. At its closest approach, the planet is 0.580 AU from the star and has a speed of 54.0 km/s. When the planet is at its farthest distance from the star of 37.0 AU, what is its speed (in km/s)? (1 AU is the average distance from the Earth to the Sun and is equal to 1.496 x 10¹¹ m. You may assume that other planets and smaller objects in the star system exert negligible forces on the planet.) km/s (b) What If? A comet is in a highly elliptical orbit around the same star. The comet's greatest distance from the star is 20,900 times larger than its closest distance to the star. The comet's speed at its greatest distance is 2.70 x 10-² km/s. What is the speed (in km/s) of the comet at its closest approach? km/s
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