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 r2, 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 r2, the potential energy of the system is zero.

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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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