Pearson eText The Cosmic Perspective Fundamentals -- Instant Access (Pearson+)
Pearson eText The Cosmic Perspective Fundamentals -- Instant Access (Pearson+)
3rd Edition
ISBN: 9780135775394
Author: Jeffrey Bennett, Megan Donahue
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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Show your complete solution.Use 3 decimal places throughout your solution and express final answers in 3 decimalplaces. Answers with wrong units will not be considered.Box or highlight your final answers.
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.
Use the diagram and the fact that Planet A has a nearly circular orbit while Planet B has a highly elliptical orbit to answer the following questions. Use examples of Newton’s and Kepler’s laws in your answers. a. Does Planet B travel faster or slower when it is closest to the Sun than at other times? Explain your answer. b. Which planet takes longer to orbit the Sun? Explain your answer. c. Does the gravitational attraction between these planets increase or decrease as their orbits move them closer together? Explain your answer.  d. Which planet has the highest average orbital speed? Explain your answer. e. Which planet travels at about the same speed throughout its orbit? Explain your answer.
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