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| course_planning:183_projects:f18_project_14 [2018/12/06 01:22] – hallstein | course_planning:183_projects:f18_project_14 [2018/12/06 14:40] – hallstein |
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| There is only the 8-ball remaining. Tom realizes he can win this game, but he is going to have to make a difficult shot. He begins doing some calculations using angular momentum. | There is only the 8-ball remaining. Tom realizes he can win this game, but he is going to have to make a difficult shot. He begins doing some calculations using angular momentum. |
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| Assuming there is no friction, Tom needs to figure out how fast and at what angle the cue ball needs to travel in order to get the 8-ball into the top right corner pocket. Hint: for an elastic collision in 2D, the angle between the two post-collision velocities is 90 degrees. Relative to the top right corner pocket, the location of the 8-ball before cue ball strikes it is <-0.50m, -0.25m, 0m> and the location of the cue ball before the shot is <-1.25m, -0.5m, 0m>. What must the initial velocity of the cue ball be for the final speed of the 8-ball to equal 1 m/s? | Assuming there is no friction, Tom needs to figure out how fast and at what angle the cue ball needs to travel in order to get the 8-ball into the top right corner pocket. Hint: for an elastic collision in 2D between two objects having equal mass, with one object initially attest, the angle between the two post-collision velocities is 90 degrees. Relative to the top right corner pocket, the location of the 8-ball before cue ball strikes it is <-0.50m, -0.25m, 0m> and the location of the cue ball before the shot is <-1.25m, -0.5m, 0m>. What must the initial velocity of the cue ball be for the final speed of the 8-ball to equal 1 m/s? |
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