9. A helium balloon is released from the floor in a room at rest, then slowly rises and comes to rest touching the ceiling. During this process, the gravitational potential energy of the balloon has increased. Since energy is conserved, the energy of something else must have decreased during this process. Which of the following is the main contribution to this decrease? (A) The kinetic energy of the balloon decreased. (B) The elastic potential energy of the balloon decreased. (C) The thermal energy of the air in the balloon decreased. (D) The thermal energy of the air in the room decreased. (E) The gravitational potential energy of the air in the room decreased.

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9. A helium balloon is released from the floor in a room at rest, then slowly rises and comes to rest touching
the ceiling. During this process, the gravitational potential energy of the balloon has increased. Since
energy is conserved, the energy of something else must have decreased during this process. Which of the
following is the main contribution to this decrease?
(A) The kinetic energy of the balloon decreased.
(B) The elastic potential energy of the balloon decreased.
(C) The thermal energy of the air in the balloon decreased.
(D) The thermal energy of the air in the room decreased.
(E) The gravitational potential energy of the air in the room decreased.
10. An archer takes aim at a target that is 100 m away. Assuming she holds the bow at the same height as the
center of the target and shoots an arrow with velocity v = 100 m/s, at what angle above the horizontal
should she aim the bow so that the arrow hits the center of the target?
(A)
arccos (1/5)
2
(B)
arcsin (1/5)
2
(C)
arccos (1/10)
2
(D)
arcsin (1/10)
2
(E)
arctan(2/5)
2
Transcribed Image Text:9. A helium balloon is released from the floor in a room at rest, then slowly rises and comes to rest touching the ceiling. During this process, the gravitational potential energy of the balloon has increased. Since energy is conserved, the energy of something else must have decreased during this process. Which of the following is the main contribution to this decrease? (A) The kinetic energy of the balloon decreased. (B) The elastic potential energy of the balloon decreased. (C) The thermal energy of the air in the balloon decreased. (D) The thermal energy of the air in the room decreased. (E) The gravitational potential energy of the air in the room decreased. 10. An archer takes aim at a target that is 100 m away. Assuming she holds the bow at the same height as the center of the target and shoots an arrow with velocity v = 100 m/s, at what angle above the horizontal should she aim the bow so that the arrow hits the center of the target? (A) arccos (1/5) 2 (B) arcsin (1/5) 2 (C) arccos (1/10) 2 (D) arcsin (1/10) 2 (E) arctan(2/5) 2
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