the 8 ball into the top right corner pocket to win the game, but you want to make sure that you don't scratch (hitting the cue ball into the pocket as well). 1.42 (m) - 2.84 [m)- Take the bottom left corner pocket to be the origin with the position of the cue ball, F, = 1.775i + 0.355), and the 8 ball, 7 = 2.485î + 1.065). The length and width of the table are 2.84 (m] x 1.42 [m] and the white dots around the frame are equally spaced. The mass and radius of the two balls are identical with the mass being 0.15 [kg] and the radius being 52.5 [mm]. What is the minimum force the cue ball must hit the 8 ball and come to a dead stop while the 8 ball just barely makes it into the corner for a dramatic win? Assume the force of impact is constant and the duration of impact lasts 0.1 seconds. Additionally, consider that the 8 ball encounters a constant friction force throughout its displacement while it rolls into the corner pocket. Let H = 0.35.

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the 8 ball into the top right corner pocket to win the game, but you want to make
sure that you don't scratch (hitting the cue ball into the pocket as well).
1.42 (m]
-2.84 (m]–
Take the bottom left corner pocket to be the origin with the position of the
cue ball, F, = 1.775{ + 0.355), and the 8 ballI, 7; = 2.485i + 1.065). The length
and width of the table are 2.84 [m] x 1.42 [m] and the white dots around the
frame are equally spaced. The mass and radius of the two balls are identical with
the mass being 0.15 [kg] and the radius being 52.5 (mm].
What is the minimum force the cue ball must hit the 8 ball and come to a
dead stop while the 8 ball just barely makes it into the corner for a dramatic
win? Assume the force of impact is constant and the duration of impact lasts 0.1
seconds. Additionally, consider that the 8 ball encounters a constant friction force
throughout its displacement while it rolls into the corner pocket. Let g = 0.35.
Transcribed Image Text:the 8 ball into the top right corner pocket to win the game, but you want to make sure that you don't scratch (hitting the cue ball into the pocket as well). 1.42 (m] -2.84 (m]– Take the bottom left corner pocket to be the origin with the position of the cue ball, F, = 1.775{ + 0.355), and the 8 ballI, 7; = 2.485i + 1.065). The length and width of the table are 2.84 [m] x 1.42 [m] and the white dots around the frame are equally spaced. The mass and radius of the two balls are identical with the mass being 0.15 [kg] and the radius being 52.5 (mm]. What is the minimum force the cue ball must hit the 8 ball and come to a dead stop while the 8 ball just barely makes it into the corner for a dramatic win? Assume the force of impact is constant and the duration of impact lasts 0.1 seconds. Additionally, consider that the 8 ball encounters a constant friction force throughout its displacement while it rolls into the corner pocket. Let g = 0.35.
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