1. Explain each of Kepler's 3 laws.
2. In the (2nd) Area law, what does Kepler have to say about the speed of a planet (or asteroid, etc.) as it orbits the Sun - that is, what happens to the speed of a planet as its distance from the Sun changes?
3. What does "semi-major axis of orbit" mean?
4. What is an AU (astronomical unit)?
5. (3rd Law) If an asteroid is 6 AU from the Sun, how long does it take to orbit the Sun?
6. Consider two bodies in space. If the distance between them is doubled, what happens to the gravitational force between them? What if the distance becomes 5 times the original distance? Half the original distance?
7. The acceleration due to gravity behaves the same was as the universal gravitation law - the same as in problem 6. So that said, what will happen to your weight if you are above the surface of the Earth at a distance exactly equal to the radius of the Earth (thereby doubling your distance from the center of the Earth)?
8. What is your weight on the Moon? (g = 1.7 m/s/s)
9. What was Newton's remarkable book titled, and when was it published?
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