08_InstSolManual_PDF_Part1

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

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Unformatted text preview: MOMENTUM 8 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 Answers to Multiple-Choice Problems 1. A, D 2. D 3. A, B, C 14. A, B 15. D Solutions to Problems 8.1. Set Up: Use coordinates where 1x is to the right. In (a)–(c) denote the two objects as A and B. In (d) call the third object C. Solve: (a) Px 5 pAx 1 pBx 5 1 5.0 kg 2 1 4.0 m / s 2 1 1 3.0 kg 2 1 8.0 m / s 2 5 44 kg # m / s (b) Px 5 1 6.0 kg 2 1 2.0 m / s 2 1 1 3.0 kg 2 1 24.0 m / s 2 5 0 (c) Px 5 1 9.0 kg 2 1 4.0 m / s 2 1 1 6.0 kg 2 1 28.0 m / s 2 5 212 kg # m / s (d) Px 5 pAx 1 pBx 1 pCx 5 1 7.0 kg 2 1 2.0 m / s 2 1 1 8.0 kg 2 1 25.0 m / s 2 1 1 4.0 kg 2 1 6.0 m / s 2 5 22.0 kg # m / s 8.2. Set Up: The signs of the velocity components indicate their directions. Call the objects A and B. Solve: (a) Px 5 pAx 5 1 8.0 kg 2 1 45 m / s cos 60° 2 5 180 kg # m / s (b) Px 5 pAx 1 pBx 5 0 1 1 6.0 kg 2 1 24.0 m / s 2 5 224 kg # m / s Py 5 pAy 5 1 8.0 kg 2 1 45 m / s sin 60° 2 5 312 kg # m / s Py 5 pAy 1 pBy 5 1 9.0 kg 2 1 3.0 m / s 2 1 0 5 27 kg # m / s (c) Px 5 pAx 1 pBx 5 0 1 1 8.0 kg 2 1 12 m / s cos 72° 2 5 29.7 kg # m / s (d) Px 5 pAx 1 pBx 5 1 8.0 kg 2 1 25.0 m / s sin 35° 2 1 1 10.0 kg 2 1 5.0 m / s sin 35° 2 5 5.7 kg # m / s Py 5 pAy 1 pBy 5 1 6.0 kg 2 1 25.0 m / s 2 1 1 8.0 kg 2 1 12 m / s sin 72° 2 5 61.3 kg # m / s Py 5 pAy 1 pBy 5 1 8.0 kg 2 1 25.0 m / s cos 35° 2 1 1 10.0 kg 2 1 25.0 m / s cos 35° 2 5 273.7 kg # m / s 8.3. Set Up: The signs of the velocity components indicate their directions. Solve: (a) Px 5 pAx 1 pCx 5 0 1 1 10.0 kg 2 1 23.0 m / s 2 5 230 kg # m / s (b) Px 5 pBx 1 pCx 5 1 6.0 kg 2 1 10.0 m / s cos 60° 2 1 1 10.0 kg 2 1 23.0 m / s 2 5 0 Py 5 pAy 1 pCy 5 1 5.0 kg 2 1 211.0 m / s 2 1 0 5 255 kg # m / s (c) Px 5 pAx 1 pBx 1 pCx 5 0 1 1 6.0 kg 2 1 10.0 m / s cos 60° 2 1 1 10.0 kg 2 1 23.0 m / s 2 5 0 Py 5 pBy 1 pCy 5 1 6.0 kg 2 1 10.0 m / s sin 60° 2 1 0 5 52 kg # m / s Py 5 pAy 1 pBy 1 pCy 5 1 5.0 kg 2 1 211.0 m / s 2 1 1 6.0 kg 2 1 10.0 m / s sin 60° 2 1 0 5 23.0 kg # m / s Reflect: A has no x-component of momentum so Px is the same in (b) and (c). C has no y-component of momentum so Py in (c) is the sum of Py in (a) and (b). 8-1 ...
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