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(15.2.20) In the novel The Moon is a Harsh Mistress by Robert Heinlein, colonists on the...
The average distance from the Moon to the center of the Earth is 384,400 km, and the diameter of the Earth is 12,756 km. Calculate the gravitational force that the Moon exerts (a) on a 1-kg rock at the point on the Earth’s surface closest to the Moon and (b) on a 1-kg rock at a point on the Earth’s surface furthest from the Moon. The mass of the Moon is 7.349 × 1022 kg. (c) Find the difference between...
3. 1 AU = 149 597 970 700 metres, and the Sun’s mass is 1.98855 x 1030 kg. (a) Calculate the apparent tidal force on the two rocks from question 2 due to the Sun, and (b) use your results from questions 2 and 3 to give a qualitative explanation of the difference between spring tides and neap tides. Note: You will have to be careful about significant figures; take the 1-kg mass as an absolute value. Q2 Results 2....
4. Use Kepler's Second Law and the fact that L-fxp to determine at which points in an elliptical orbit around the Sun a planet has maximum and minimum speeds. (Section 13.5 will help.) 5. At the end of example 13.10, there's an "Evaluate" blurb about how inside the surface of the Earth the force of gravity varies proportionally to the distance from the center, and it makes reference to the next chapter. which is about oscillation. Model the motion of...