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Chapter 1: Q4DQ (page 356)
4. Does the center of gravity of a solid body always lie within the material of the body? If not, give a counterexample
No, it is not necessary for the center of gravity to lie within the body.
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Planet Vulcan.Suppose that a planet were discovered between the sun and Mercury, with a circular orbit of radius equal to of the average orbit radius of Mercury. What would be the orbital period of such a planet? (Such a planet was once postulated, in part to explain the precession of Mercury’s orbit. It was even given the name Vulcan, although we now have no evidence that it actually exists. Mercury’s precession has been explained by general relativity.)
A rubber hose is attached to a funnel, and the free end is bent around to point upward. When water is poured into the funnel, it rises in the hose to the same level as in the funnel, even though the funnel has a lot more water in it than the hose does. Why? What supports the extra weight of the water in the funnel?
The “direction of time” is said to proceed from past to future. Does this mean that time is a vector quantity? Explain.
If ,what must be true about the directions and magnitudes of and if ? What must be true about the directions and magnitudes of role="math" localid="1647990633202" and if ?
Is a pound of butter on the Earth the same amount as a pound of butter on Mars? What about a kilogram of butter? Explain.
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