The Cosmic Perspective Fundamentals (2nd Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
2nd Edition
ISBN: 9780133889567
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 3, Problem 7QQ

Choose the best answer to each of the following. Explain your reasoning.

According to Kepler’s third law. (a) Mercury travels fastest in the part of its orbit in which it is closest to the Sun. (b) Jupiter orbitus the Sun at a faster speed than Saturn. (c) all the planets have elliptical orbits.

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Gravitational Potential Energy. Directions: Answer the following problem involving gravitational potential energy. Refer to information given in the box below. The gravitational potential energy of a pair of masses, m, and mz, that are a distance r apart is U, =Cm, m, 2. What is the gravitational potential energy of the moon with respect to the earth? The mass of the moon is 7.35 x 1022 kilograms and the mass of the earth is 5.98 x 1024 kilograms. The earth moon distance is 384, 400 kilometers. Show your solution and answer. Remember that the earth-moon distance is still in kilometers.
Orbits and Planetary Motion. Directions: Answer the following problem involving orbits and planetary motion. Refer to information given in the box below. Show your solution and box your final answer |Kepler's three laws of planetary motion can be described as follows: • The path of the planets about the sun is elliptical in shape, with the center of the sun being located at one focus. (The Law of Ellipses) An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. (The Law of Equal Areas) The ratio of the squares of the periods (T²) of any two planets is equal to the ratio of the cubes of their average distances from the sun (R³). (The Law of Harmonies): 3. Consider a planet with mass Mplanet to orbit in nearly circular motion about the sun of mass Msun. Prove that T² = 4"*R² using the following equations and GMsun conditions on orbital motion Mptanet v² • Net centripetal force: Fnet = Gravitational force: Fgrav…
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