08_InstSolManual_PDF_Part7

# 08_InstSolManual_PDF_Part7 - Momentum 8-7 8.27 Set Up Use...

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8.27. Set Up: Use coordinates where is east and is south. Let the big fish be A and the small fish be B . The system of the two fish before and after the collision is sketched in Figure 8.27. Figure 8.27 Solve: There are no external forces on the fish so and gives so gives so so and The large fish has velocity in a direction 27.6° south of east. Reflect: Momentum is a vector and we must treat each component separately. 8.28. Set Up: The system before and after the collision is sketched in Figure 8.28. Use the coordinates shown. The collision forces are large so gravity can be neglected during the collision. Figure 8.28 Solve: There is no external force on the system so and gives and gives and Combining these two equations gives and f 5 48°. tan f 5 10.0 m / s 9.0 m / s 10.0 m / s. v raven, f sin f 5 1 1.5 kg 2 v
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Unformatted text preview: 2 v raven, f sin f 1 0.600 kg 21 2 5.0 m / s 2 1 1 0.600 kg 21 20.0 m / s 2 5 P i, y 5 P f, y v raven, f cos f 5 9.0 m / s. 1 1.5 kg 2 v raven, f cos f 1 1.5 kg 21 9.0 m / s 2 5 P i, x 5 P f, x P i, y 5 P f, y . P i, x 5 P f, x y x Before 20.0m / s 9.0m / s Raven After 5.0m / s Falcon Falcon Raven v raven,f v raven,f sin f v raven,f cos f f 0.763 m / s f 5 27.6°. cos f 5 0.676 m / s 0.763 m / s v f, x 5 v f cos f v 5 " v f, x 2 1 v f, y 2 5 0.763 m / s. v f, y 5 0.353 m / s 1 1.25 kg 21 3.60 m / s 2 5 1 12.75 kg 2 v f, y P i, y 5 P f, y v f, x 5 0.676 m / s 1 11.5 kg 21 0.750 m / s 2 5 1 12.75 kg 2 v f, x P i, x 5 P f, x P i, y 5 P f, y . P i, x 5 P f, x Before y x After A B 0.750m / s 3.60m / s v f, y v f, x v f f 1 y 1 x Momentum 8-7...
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