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云
HI
5
F.
%24
-10
Part A
Jeanette is playing in a 9-ball pool tournament. She will win if she sinks the 9-ball
from the final rack, so she needs to line up her shot precisely. Both the cue ball
and the 9-ball have mass m, and the cue ball is hit at an initial speed of v.
Jeanette carefully hits the cue ball into the 9-ball off center, so that when the balls
collide, they move away from each other at the same angle 0 from the direction in
which the cue ball was originally traveling (see figure). Furthermore, after the
collision, the cue ball moves away at speed vf, while the 9-ball moves at speed
vp. (Figure 1)
Find the angle 0 that the 9-ball travels away from the horizontal, as shown in the figure.
Express your answer in degrees to three significant figures.
> View Available Hint(s)
For the purposes of this problem, assume that the collision is perfectly elastic,
neglect friction, and ignore the spinning of the balls.
Submit
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Figure
1 of 1
MacBook Air
08
F3
O00
000
F2
F4
DD
F7
F5
F6
&
3.
4.
9
080
E
P.
}
1
Transcribed Image Text:云 HI 5 F. %24 -10 Part A Jeanette is playing in a 9-ball pool tournament. She will win if she sinks the 9-ball from the final rack, so she needs to line up her shot precisely. Both the cue ball and the 9-ball have mass m, and the cue ball is hit at an initial speed of v. Jeanette carefully hits the cue ball into the 9-ball off center, so that when the balls collide, they move away from each other at the same angle 0 from the direction in which the cue ball was originally traveling (see figure). Furthermore, after the collision, the cue ball moves away at speed vf, while the 9-ball moves at speed vp. (Figure 1) Find the angle 0 that the 9-ball travels away from the horizontal, as shown in the figure. Express your answer in degrees to three significant figures. > View Available Hint(s) For the purposes of this problem, assume that the collision is perfectly elastic, neglect friction, and ignore the spinning of the balls. Submit Provide Feedback Figure 1 of 1 MacBook Air 08 F3 O00 000 F2 F4 DD F7 F5 F6 & 3. 4. 9 080 E P. } 1
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