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
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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, is shown as the thick curve, and plotted along the vertical axis are
various values of K+Ug.
r2
r, from star to planet
A
B-
Suppose that K+Ug 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 r3.
O The potential energy of the system decreases as the planet moves from r, to rɔ.
O The system is a bound system; the planet 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.
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, is shown as the thick curve, and plotted along the vertical axis are various values of K+Ug. r2 r, from star to planet A B- Suppose that K+Ug 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 r3. O The potential energy of the system decreases as the planet moves from r, to rɔ. O The system is a bound system; the planet 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.
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