The orbital period of Comet Halley is calculated to be 75.5 years. Many other comets have orbits that extend much farther from the sun, and hence have much longer periods. At aphelion, a typical long-period comet is about 8*10^12 km from the sun; at perihelion, it passes inside the Earth's...
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A shaft is drilled from the surface to the center of the earth. Make the rather unrealistic assumption that the density of the Earth is uniform. With this approximation, the gravitational force on an object with mass m, that is inside the Earth at a...