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Homework 2 Solutions

Homework 2 Solutions - Astronomy100 Homework#2Solutions...

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Astronomy 100 Homework #2 Solutions 1, Problem 3‐27 (2 pts) . According to Kepler’s third law, (b) Jupiter orbits the Sun more quickly than Saturn. Because the semimajor axis is smaller, the orbital period P = a 3/2 will be smaller. 2. Problem 3‐40 (2 pts) . The recently discovered object Sedna orbits our sun beyond Pluto, at an average distance of 509 AU. What is its orbital period? a=509 AU, P 2 = a 3 . P = a 3/2 = 509 3/2 = 11,480 years 3. Problem 3‐41 (3 pts) . The recently discovered Eris, which is slightly larger than Pluto, orbits the Sun every 560 years. What is its average distance (semimajor axis) from the Sun? How does its average distance compare to that of Pluto? a = P 2/3 = 560 2/3 = 67.9 AU. This is further from the Sun than Pluto, which has a semimajor axis of ~40AU. 4. Problem 4‐28 (2 pts) . When visiting another planet, (b) your mass would be the same as on Earth, but your weight would be different. Weight depends on the strength of gravity. 5. Problem 4‐34 (2 pts) . If Earth were twice as far from the Sun, the force of gravity attracting Earth to the sun would be (c) one‐quarter as strong. Gravity follows an
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