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 Ug is shown as the thick curve, and plotted along the vertical axis are various values of K + Ug 1. A B r1 r2 r, from star to planet Suppose that K+ Ug 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 ₁ to ₂. b. When the two bodies are separated by amount r2, 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 r2, the kinetic energy of the system is (B-C). The kinetic energy of the system is greater when the distance between the star and planet is ₁ than when the distance between the two bodies is r2. f.

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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, is shown
as the thick curve, and plotted along the vertical axis are various
values of K + Ug
K + Ug
A +
r1
12 r, from star to planet
1. Suppose that K+ Ug 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 r₁ to 1₂.
b.
When the two bodies are separated by amount r2, the
kinetic energy of the system is (A – B).
The system is a bound system; the planet can never escape.
d. The planet will escape.
c.
f.
e. When the separation between the two bodies is r2, the kinetic energy of the system is (B − C).
The kinetic energy of the system is greater when the distance between the star and planet is r₁
than when the distance between the two bodies is r2.
2. Suppose that K+ Ug 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 №2, the kinetic energy of the system is zero.
b. The planet and star cannot get farther apart than r2.
c. This system is not a bound system; the planet can escape.
d. When the separation between the planet and star is 12, the potential energy of the system is
zero.
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, is shown as the thick curve, and plotted along the vertical axis are various values of K + Ug K + Ug A + r1 12 r, from star to planet 1. Suppose that K+ Ug 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 r₁ to 1₂. b. When the two bodies are separated by amount r2, the kinetic energy of the system is (A – B). The system is a bound system; the planet can never escape. d. The planet will escape. c. f. e. When the separation between the two bodies is r2, the kinetic energy of the system is (B − C). The kinetic energy of the system is greater when the distance between the star and planet is r₁ than when the distance between the two bodies is r2. 2. Suppose that K+ Ug 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 №2, the kinetic energy of the system is zero. b. The planet and star cannot get farther apart than r2. c. This system is not a bound system; the planet can escape. d. When the separation between the planet and star is 12, the potential energy of the system is zero.
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