hw3ans - Phys 341 Homework#3 Solutions 1 As a reminder here...

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Phys 341: Homework #3 Solutions 1. As a reminder, here is the figure: (a) The dotted line corresponds to the more massive star (#1) and the dashed line to the less massive star (#2). We know this because the same force acts on both stars, and by F = ma the more massive star will move less. (b) The left-hand velocity curve corresponds to #1, and the right-hand curve to #2. Star #2 has a larger orbit, so it travels farther in each period, which means that it must have a larger velocity amplitude. Or, again invoking F = ma , the star with the smaller mass has the larger acceleration and hence velocity. (c) There are several principles that help us associate the star locations with points on the velocity curve. First and foremost, the stars must always be on opposite sides of the center of mass. Second, when the x -component of the velocity is zero, the stars must be moving in the y -direction, which means that each star must be at one end of its ellipse or the other. Third, when the stars are near each other the force is large, so the acceleration is large.
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