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Astronomy 1010 Problem Set 5, Assignments of Astronomy

Problem set 5 for astronomy 1010, which includes questions related to kepler's laws of planetary motion, orbital periods and semi-major axes of planets and halley's comet, and physics problems involving falling objects on earth and the moon.

Typology: Assignments

Pre 2010

Uploaded on 07/30/2009

koofers-user-prf
koofers-user-prf 🇺🇸

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Download Astronomy 1010 Problem Set 5 and more Assignments Astronomy in PDF only on Docsity! Astr 1010 Problem Set #5 [Not to be turned in... will be worked in class!] 1. Use the data in the textbook, (last page of book, the stiff pull-out page) to verify that Kepler’s law holds for the planets Mercury, Mars, Saturn and Neptune. 2. What is the period of a “planet” located 3.3 AU from the sun? 3. What is the semi-major axis of a planet whose period is 11.18 years? 4. Like the planets, Halley’s comet orbits the sun in an elliptical path; so it too obeys Kepler’s Third Law, P 2yr = a 3 AU. Unlike the planets, its orbit is extremely eccentric so that its distance of closest approach is very different from its farthest distance from the sun. The orbital period of Halley’s comet is 76.1 yr. Its minimum distance from the sun is 0.53 AU. What is its maximum distance from the sun?   5. If we drop a rock from a high place, how far does it fall in 5.0 sec? What is its speed at that time? How long does it take to fall 300 m? What will its speed be at that time? 6. On the moon, the value of g is only 1.6 m s2 , about 1 6 the value of earth’s value of g. If we drop a rock on the moon, how far does it fall in 1 second? In 3 seconds? How long does it take to fall 300 m? What will its speed be at that time? P 2yr = a 3 AU Object falling from rest: d = 1 2 gt2 v = gt g = 9.8m s2 1
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