The diagram below is a graph of the energy of a system of a planet interacting with a star. The gravitational potential energy U, is shown as the thick curve, and plotted along the vertical axis are various values of K+Ug. r, from star to planet Suppose that K+U, of the system is A. Which of the following statements are true? O When the separation between the two bodies is r2, the kinetic energy of the system is (B - C). O The planet will escape. O When the separation between the two bodies is r2, the kinetic energy of the system is (A - B). O The kinetic energy of the system is greater when the distance between the star and planet is r than when the distance between the two bodies is r2. O The potential energy of the system decreases as the planet moves from r, to r2. O The system is a bound system; the can never escape. Suppose instead that K+U, of the system is B. Which of the following statements are true? O This is not a bound system; the planet can escape. O When the separation between the planet and star is r2, the potential energy of the system is zero. O When the separation between the planet and star is r2, the kinetic energy of the system is zero. O The planet and star cannot get farther apart than r2.
The diagram below is a graph of the energy of a system of a planet interacting with a star. The gravitational potential energy U, is shown as the thick curve, and plotted along the vertical axis are various values of K+Ug. r, from star to planet Suppose that K+U, of the system is A. Which of the following statements are true? O When the separation between the two bodies is r2, the kinetic energy of the system is (B - C). O The planet will escape. O When the separation between the two bodies is r2, the kinetic energy of the system is (A - B). O The kinetic energy of the system is greater when the distance between the star and planet is r than when the distance between the two bodies is r2. O The potential energy of the system decreases as the planet moves from r, to r2. O The system is a bound system; the can never escape. Suppose instead that K+U, of the system is B. Which of the following statements are true? O This is not a bound system; the planet can escape. O When the separation between the planet and star is r2, the potential energy of the system is zero. O When the separation between the planet and star is r2, the kinetic energy of the system is zero. O The planet and star cannot get farther apart than r2.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![The diagram below 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 \( K + U_g \).
*Graph Details:*
- The horizontal axis represents the distance \( r \) from the star to the planet.
- The vertical axis represents the combined energy \( K + U_g \).
- The graph shows a curve with decreasing potential energy as the distance increases.
- Specific points on the energy scale are labeled \( A \), \( B \), and \( C \) at intersections with vertical lines from distances \( r_1 \) and \( r_2 \).
**Questions:**
Suppose that \( K + U_g \) of the system is \( A \). Which of the following statements are true?
- [ ] When the separation between the two bodies is \( r_2 \), the kinetic energy of the system is \( (B - C) \).
- [ ] The planet will escape.
- [ ] When the separation between the two bodies is \( r_2 \), the kinetic energy of the system is \( (A - B) \).
- [ ] 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 \( r_2 \).
- [ ] The potential energy of the system decreases as the planet moves from \( r_1 \) to \( r_2 \).
- [ ] The system is a bound system; the planet can never escape.
Suppose instead that \( K + U_g \) of the system is \( B \). Which of the following statements are true?
- [ ] This is not a bound system; the planet can escape.
- [ ] When the separation between the planet and star is \( r_2 \), the potential energy of the system is zero.
- [ ] When the separation between the planet and star is \( r_2 \), the kinetic energy of the system is zero.
- [ ] The planet and star cannot get farther apart than \( r_2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97aba9c2-7733-43fc-8cda-64b1db1637bb%2F3894cd31-4107-4a47-8369-e9cc4a927b9d%2Fcsq7dev_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The diagram below 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 \( K + U_g \).
*Graph Details:*
- The horizontal axis represents the distance \( r \) from the star to the planet.
- The vertical axis represents the combined energy \( K + U_g \).
- The graph shows a curve with decreasing potential energy as the distance increases.
- Specific points on the energy scale are labeled \( A \), \( B \), and \( C \) at intersections with vertical lines from distances \( r_1 \) and \( r_2 \).
**Questions:**
Suppose that \( K + U_g \) of the system is \( A \). Which of the following statements are true?
- [ ] When the separation between the two bodies is \( r_2 \), the kinetic energy of the system is \( (B - C) \).
- [ ] The planet will escape.
- [ ] When the separation between the two bodies is \( r_2 \), the kinetic energy of the system is \( (A - B) \).
- [ ] 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 \( r_2 \).
- [ ] The potential energy of the system decreases as the planet moves from \( r_1 \) to \( r_2 \).
- [ ] The system is a bound system; the planet can never escape.
Suppose instead that \( K + U_g \) of the system is \( B \). Which of the following statements are true?
- [ ] This is not a bound system; the planet can escape.
- [ ] When the separation between the planet and star is \( r_2 \), the potential energy of the system is zero.
- [ ] When the separation between the planet and star is \( r_2 \), the kinetic energy of the system is zero.
- [ ] The planet and star cannot get farther apart than \( r_2 \).
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