College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Use the following information for problems (1) and (2):** The figure on the right is a graph of the energy of a system of a planet interacting with a star. The gravitational potential energy \( U_g \) is shown as the thick curve, and plotted along the vertical axis are various values of \( K + U_g \). 1. Suppose that \( K + U_g \) of the system is \( A \). Which of the following statements are true? Explain your reasoning. a. The potential energy of the system decreases as the planet moves from \( r_1 \) to \( r_2 \). b. When the two bodies are separated by amount \( r_2 \), the kinetic energy of the system is \( (A - B) \). c. The system is a bound system; the planet can never escape. d. The planet will escape. e. When the separation between the two bodies is \( r_2 \), the kinetic energy of the system is \( (B - C) \). f. The kinetic energy of the system is greater when the distance between the star and planet is \( r_1 \) than when the distance between the two bodies is \( r_2 \). 2. Suppose that \( K + U_g \) of the system is \( B \). Which of the following statements is true? Explain your reasoning. a. When the separation between the planet and star is \( r_2 \), the kinetic energy of the system is zero. b. The planet and star cannot get farther apart than \( r_2 \). c. This system is not a bound system; the planet can escape. d. When the separation between the planet and star is \( r_2 \), the potential energy of the system is zero. **Graph Explanation:** The graph plots the total energy \( K + U_g \) of a system on the vertical axis with \( r \), the distance from the star to the planet, on the horizontal axis. The thick curve represents the gravitational potential energy \( U_g \). Points \( A \), \( B \), and \( C \) indicate different levels of total energy for the system, with specific separations at \( r_1 \) and \( r_2 \).
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Transcribed Image Text:**Use the following information for problems (1) and (2):** The figure on the right is a graph of the energy of a system of a planet interacting with a star. The gravitational potential energy \( U_g \) is shown as the thick curve, and plotted along the vertical axis are various values of \( K + U_g \). 1. Suppose that \( K + U_g \) of the system is \( A \). Which of the following statements are true? Explain your reasoning. a. The potential energy of the system decreases as the planet moves from \( r_1 \) to \( r_2 \). b. When the two bodies are separated by amount \( r_2 \), the kinetic energy of the system is \( (A - B) \). c. The system is a bound system; the planet can never escape. d. The planet will escape. e. When the separation between the two bodies is \( r_2 \), the kinetic energy of the system is \( (B - C) \). f. The kinetic energy of the system is greater when the distance between the star and planet is \( r_1 \) than when the distance between the two bodies is \( r_2 \). 2. Suppose that \( K + U_g \) of the system is \( B \). Which of the following statements is true? Explain your reasoning. a. When the separation between the planet and star is \( r_2 \), the kinetic energy of the system is zero. b. The planet and star cannot get farther apart than \( r_2 \). c. This system is not a bound system; the planet can escape. d. When the separation between the planet and star is \( r_2 \), the potential energy of the system is zero. **Graph Explanation:** The graph plots the total energy \( K + U_g \) of a system on the vertical axis with \( r \), the distance from the star to the planet, on the horizontal axis. The thick curve represents the gravitational potential energy \( U_g \). Points \( A \), \( B \), and \( C \) indicate different levels of total energy for the system, with specific separations at \( r_1 \) and \( r_2 \).
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