08_InstSolManual_PDF_Part1 - MOMENTUM 8 4 C D 5 C 6 B 7 C 8...

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8-1 M OMENTUM 8 Answers to Multiple-Choice Problems 1. A, D 2. D 3. A, B, C 4. C, D 5. C 6. B 7. C 8. A, D 9. B 10. C 11. B, D 12. A, D, E 13. A, C, D 14. A, B 15. D Solutions to Problems 8.1. Set Up: Use coordinates where is to the right. In (a)–(c) denote the two objects as A and B . In (d) call the third object C . Solve: (a) (b) (c) (d) 8.2. Set Up: The signs of the velocity components indicate their directions. Call the objects A and B . Solve: (a) (b) (c) (d) 8.3. Set Up: The signs of the velocity components indicate their directions. Solve: (a) (b) (c) Reflect: A has no x -component of momentum so is the same in (b) and (c). C has no y -component of momentum so in (c) is the sum of in (a) and (b). P y P y P x P y 5 p Ay 1 p By 1 p Cy 5 1 5.0 kg 21 2 11.0 m / s 2 1 1 6.0 kg 21 10.0 m / s sin 60° 2 1 0 5 2 3.0 kg # m / s P x 5 p Ax 1 p Bx 1 p Cx 5 0 1 1 6.0 kg 21 10.0 m / s cos 60° 2 1 1 10.0 kg 21 2 3.0 m / s 2 5 0 P y 5 p By 1 p Cy 5 1 6.0 kg 21 10.0 m / s sin 60° 2 1 0 5 52 kg # m / s P x 5 p Bx 1 p Cx 5 1 6.0 kg 21 10.0 m / s cos 60° 2 1 1 10.0 kg 21 2 3.0 m / s 2 5 0 P y 5 p Ay 1 p Cy 5 1 5.0 kg 21 2 11.0 m / s 2 1 0 5 2 55 kg # m / s P x 5 p Ax 1 p Cx 5 0 1 1 10.0 kg 21 2 3.0 m / s 2 5 2 30 kg # m / s P y 5 p Ay 1 p By 5 1 8.0 kg 21 2 5.0 m / s cos 35° 2 1 1 10.0 kg 21 2 5.0 m / s cos 35° 2 5 2 73.7 kg # m / s P x 5 p Ax 1 p Bx 5 1 8.0 kg 21 2 5.0 m / s sin 35° 2 1 1 10.0 kg 21 5.0 m / s sin 35° 2 5
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