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Homework Answers Unit 1 1. 7.32e-4 2. 6.78e5 3. 1.8e-2 4. 5.5e1 5. 2e-2 9. 1.66e-9 m^2 10. 9.46e15 m 13. 2 15. 3 17. 24,800,000 18a. -8.59 18b. 1.4758 18c. 0.03 27. 6.25 dozen 31. 12.07 m/s 33b. 135 degrees 34. 8.31e-4 m/s 37. 9.4e5 au 40. y = -0.49x+9.8 50. 116 54. h = 45 ft Unit 2 1. a = 2.6 m/s^2 x = 92.5 m 3. 2.13 m/s^2 4. 80 m/s 6a. 12.5 s 6b. -2.92 m/s^2 6c. 13.1 s Unit 3 1. -17.15 m/s 4. 2.49 s 6. -13.43 m/s 7. 11.5 m 8. 11.5 m 10. 19.89 m 11. 6 s Unit 4 3. 18.03 N @ 56.31 deg N of E 4. 38.25 N @ 45.69 deg N of W 10a. 22 cm 10b. 16.55 cm @ 25 deg N of E 10c. 7.33 cm/s 10d. 2.44 cm/s @ 25 deg N of E 14. 15.72 m @ 17.40 deg N of W 16. 185 N @ 77.77 deg N of E 19. 82.56 m @ 33.27 deg N of E 21. 153.71 N @ 54.28 deg S of E 22. 53.62 N @ 11.41 deg S of W Unit 5 1. 19.91 m/s 2. 3m 3. 19.6 m 3.6 m 4. 7m 5. 444 m 6a. 9.81 m 6b. 35.77 m 6c. 2.70 s 6d. 82.36 m 6e. 85.14 m 7. 25 m 8a. 85.18 m 8b. 8.34 s 8c. 291.3 m 9. 8,643 m 10a. yes, by 0.85 m 10b. downward because when the ball reaches the cross bar it has a negative velocity of 13 m/s
11. 29.4 s 12a. 32.5 m 12b. 1.78 s Unit 6 8. 1039.23 N 9. A = 77.8 N B = 77.8 N 10. A = 130 N B = 75 N 11. A = 60.53 degrees w2 = 171.28 12a. 75.62 N 12b. 360.31 N 13a. 337.2 lb 13b. 18.78 lb 14a. 98.18 kg 14b. 0.91 kg 15a. 99.21 lb 15b. 1.22 lb 16a. 12 N 16b. 3 m/s^2 17. 6000 N 18. 1700 N 19. t = 444.4 s 20a. 0.2 m/s^2 20b. 10 m 20c. 2 m/s 21. 72 m 22. 148 N 23. 9.7 m/s^2 24. 60.71 kg 25a. 82.71 m/s 26b. 165.4 m 26. 7.9 m/s 27. a = 2.45 m/s^2 T = 36.75 N 32. 588 N 33. 533 N 34. 211 N 35. 118.32 N 36. 109.5 Unit 7 1. Us = 0.38 Uk = 0.31 2. 3.16 s 3. 65.67 N 4. 0.70 5. 31.8 deg 6. 0.36 7. 0.52 8. 0.53 9. 0.23 m/s^2 10. 0.81 11a. 50 N 11b. 25 N 12a. -1.2 m/s^2 12b. 0.12 12c. 45 m Unit 8 1. 1.5e7 J 2. 700 J 3. 1586 J 4. Uk = 0.38 5. 4704 J 6. 206 J 7. 2.7e33 J 8a. 26,968 J 8b. 107897 J 8c. 431,587 J 9. 294.3 J 10. 5.09e6 J 11a. 2.45e3 J 11b. 7.83 m/s 12a. 2.25e4 N 12b. 0.00013 s 13. 45.3 J 14. 3e5 J 15. 160 m/s 16. 1.83 m 17. 1.66 m/s 18. 2.37e6 J 19. 1.98 m/s 20. 295 J 21. 3.81 m/s 22. 77 m/s 23a. 560 J 23b. 1.2 m 24. 26.5 m/s 25. 289 m 26a. 75,000 J 26b. 25,000 W 27. 1516 J 28a. 2.06e4 J 28b. 686 W 29a. 0.41 m/s 29b. 2453 J 30. 2.9 m/s Unit 9 1a. 8.35e-21 kg m/s 1b. 4.5 kg m/s 1c. 750 kg m/s d. 1.78e29 kg m/s 2. v = 10 m/s m = 3 kg 3a. 31.03 m/s 3b. 3375 J 3c. 69.81 J 4a. 0 4b. 1.06 kg m/s 5. 75,000 N 6a. -7.5 kg m/s 6b. -375 N 7. -0.02 m/s 8. 120 m 9. 62.5 s 10. 6 kg 11. 3 m/s 12. 0.41 13a. 1.8 m/s 13b. 21,600 J 14. 4 m/s and 3 m/s 15. 0.93 m 16. 143 m/s 17. 5.6 m/s Unit 10 1a. 209.33 rad/s 1b. 20.93 m/s 2. 1.23 rad/s^2 3. -8.37 rad/s^2 4. 3278.4 rev 5a. 464 m/s 5b. 232 m/s 9. 2.67E-6 rad/s or 13.18 degree per day 10. 0.157 rad/s^2 11a. 821 rad/s^2 11b. 4203.4 rad 12a. t = 5.32 s 12b. 27.41 rad 13. 41 rad/s^2 14. alpha = -13 rad/s^2 t = 3.1 s 15. 3.2 rad 16a. 4.85E-6 rad 16b. 0.31 light years 17a. 0.14 rad/s^2 17b. 8.4 rad/s 18. 50 rev 19. 16.88 N 21. 4.97 m/s 23. 11.71 m/s 25a. 0.35 m/s^2 25b. 1.04 m/s 25c. 0.94 m/s^2 26a. 1.58 m/s^2 26b. 455 N 26c. 329.2 N 26d. 397 N @ 80 deg N of E 27a. 24,900 N 28. 150 rev/s 29a. tan(theta) = Vt^2/rg 29b. 20.3 deg 30. 2E30 kg 31. 1.71E11 solar masses 31c. 2.52E-6 N 32. 4.24E23N 33. 25 to 26 m/s^2 34. 1.7 m/s^2 38. 24.5 m/s^2 39. 73.92 N
Unit 11 2a. -213.5 Nm 3. 333.63 N 4. 17.9 Nm 5a. 29.62 Nm 5b. 35.59 Nm 6. 0.624 Nm 7. 167.73 Nm 8a. 31.4 J 8b. 62.8 W 9a. 9.8 J 9b. 5.61 W 10. 792 Nm 11. T1 = 501 N T2 = 672 N T3 = 384 N 12a. H = 342 N V = 683 N 12b. 5.28 m 13. T1 = 567 N T2 = 333 N 14a. 392.4 N 14b. V = 0 N H = 341.38 N 15. 208 N 16. 5.72 kgm^2 17. 0.14 kgm^2 18. 8.47e-11 m 19. 171.5 kgm^2 20. 385.88 Nm 21a. 7 rad/s 21b. 2.23 rev 22a. 1.8 kgm^2 22b. 0.0240 Nm 23a. 0.0069 kgm^2 23b. 3.47 Nm 24a. 34 N 24b. 0.33 m 25. 17.28 rad/s 27. 1.03e-3 J 28. 5.39e33 J 29. 0.15 kgm^2 30. 276 J 31. respective first, second and third place sphere, disk, & ring 32. 4710 Js 33a. 7.01 kgm/s 33b. 1.76 Js 34. 4 rev/s 35. 3.56 rev/s 36a. 7.1e33 Js 36b. 2.68e40 Js 37. 1.2 Js 38a. 1.91 rad/s 38b. 6.4 J 39. 1500 rpm Unit 12 1. 1s 2. The one with T = 2 s. 3. The frequency increases 4. The same. Center of mass still the same. Mass is irrelavent. 7. 105 osc 10. 0.0956 m 12a. 1.14e-8 s 12b. 3.41 m 13. 0.8 m/s 14. 0.32 m 15a. 10000 Hz 16. 34.12 m/s 17b. 565.6 Hz 18a. 537.3 Hz 19. 0.391 m/s 21b. 186.5 Hz
Unit 13 ID2. 17cents VI. 1.44e25 electrons
Unit 14 1. 30.72 N 2. 6.3e14 electrons 3. 0.0027 N 6b. 1.28e-10 % 8a. 36.8 N 8b. 5.5e27 m/s^2 10. 5.1 m 11. 1.17e-8 N to the left 13. 1.38e-5N @77.5 degrees south of west Unit 15 1. 1.28e-16 N 2. 1.21e6 N/C 3. 2.52e7 N/C 4. 3.28e8 N/C to the left 5. 5.2e5 m/s 6. 1880 N/C @ 4.4 degrees south of east 7. 756 N/C @ 70.1 degrees north of east Unit 16 1a. 6.4e-19 J 1b. 4 volts 2. 1.67e6 V/m 3. 4.32e4 J 4a. 1.13e5V/m 4b. 1.8e-14N 5a. 1.5e5 m/s 5b. 6.49e6 m/s 6a. 9.22e4 volts 6b. 1.69e8 volts 7a. 2.65e7 m/s 7b. 6.19e5 m/s 8. 8.10e-7 J 9. -3.9e-7 J 10. V@A = 7.5e5 volts v@B = 0V Unit 17 1. 3e20 electrons 2. 45 C 3. 3 mA 4. 3.78e14 electrons 5. 1 mA 6. 450 ohms 7. 0.29 A 8. 55 V 9. 8.45e-5 m 10. 0.31 ohms 11. 4.7e-4 ohm-meters 12. 10.8 ohms 13a. 5.89e-2 ohms 13b. 5.45e-2 ohms 15. alpha = 1.08e-3 C^-1 16. 63.25 degrees 17. 0.09 kwh 18. 1.75e-8 m^2 19. 8.66 W 20. approximately 18 bulbs 21. $0.13 22. $0.23 23. a 20 A fuse 24. 1.56 cm Unit 18 1a. 48e-6 C 1b. 6e-6 C 2a. 110e-6 C 2b. 26.4 C 3. 5.3e-12 C 4. 2.26e-5 m^2 5a. 90.4 V 5b. 9.04e4 V/m 6a. Q1 = Q2 = 1.33e-5 C 6b. 20e-6 C and 40e-6 C 7a. 2e-6 F 7b.
8a. 24 ohms 8b. the current through each is 1 amp 9. 4.92 ohms 10a. (24/11) ohms 10b. 6 amps, 3 amps, and 2 amps 11. 50 ohms 12. 15 ohms 13a.
13b.
14a. 5.13 ohm 14b. 4.53 Volts 15a. 18 micro F 15b. 1.78 micro F 16.
17a. 198 J 17b. 0.0660 C 18. 3.6e-2 J 19. 6.94e-4 J/m^3 Unit 19 1. I1 = 3 amp, I2 = 2 A, and I3 = 1 A 2a. I1 = 1.82 amp, I2 = 1.09 amp, I3 = 0.73 amp 3. I1 = 3.5 amp, I2 = 2.5 amp, and I3 = 1 amp 4a. I = 3 mA 4b. -19 V 4c. 4.5 V 5. 10.64 V Unit 20 1. 2.6e-11 N due west 2. F = 3.2e-13 N and a = 1.92e14 m/s^2 3a. 8.67e-14 N 3b 5.2e13 m/s^2 4. 4.09e-4 T 5a. to left 5b. into page 8. 0.131 T into the table
10a. 10 Nm
10b. Assuming conventional current flow, clockwise rotation as viewed from above.
11. 0.87 Nm 14. 0.17 ohms
16. 7.5e4 ohms
17. 1.39e-2 T out of page
18. radius of single charged = 0.21 m radius of doubly charged = 0.1 m distance between them = 0.22 m
22. 0.02 23. 500 A 24a. right to left
25. 82 A 26a. 2e-4 N/m and the wires are attracted
26b. The magnitude of the forces are the same but they act in opposite directions.
27. T = 0 Nm because the alignment of the loop causes the loop to stretch.
29. 120 Nm
Unit 21
1. 0.084 V 2. 0.18 T 3. 0.0339 V
7b. 6.28E-8 V
8. 1 m/s 9. 2e-3 volts; east
10. 2.87E-3 volts
13. 79.6 Hz 15. 0.13 V
16a. 7540 volts
17a. 181 V 17b. 6 A 17d. 377 Hz
18a. 8 A 18b. 32 A
20. 256 turns
21a. 1.97 mH 21b. 38 A/s
22a. 0.12 A 24. 5.47 V
25b. 1.7 ms 26. 0.012 ohm-s
28b. 3.93 A 29b. 0.17 s
Unit 22
1a. 141.42 V 1b. 20 A 1c. 28.28 A
1d. 2000 W 2a. 106 V 2b. 60 Hz
2c. 0 volts 2d. 3 A 3a. 192 Ohms
3b. 144 Ohms 4. 6.76 W 5. 400 Hz
7. 0.36 Ohms 8. 1.66E-5 F 10. 2.63 A
11. 3.15 A 12a. 4.67 A 12b. 35.21 V
12c. 93.4 V 12d. 20.66 deg an inductive circuit
13a. 0.205 A 13b. 154 V 13c. 54 V
13d. 90 deg 14a. 1432 Ohms 14b. 0.098 A
14c. 51.1 deg 14d. an inductive circuit
15a. 0.652 A 17a. 179 ohms
Unit 23
3. 3.74e26 watts 5. 1000 km
6b. 2.7 W/m^2 9b. between 2.8 m and 3.4 m
13. 4.92e-5 s
16. approximately 3.19e15 s or about 1 billion years.
17c. 1.56e8 m/s 18a. 584 nm
19b. 287 nm 23. 16.28 degrees
26. 2.63 m 29b. 44.21 degrees
31c. q = -8.57 cm, M = 1.43
33. q = -6.67 cm and M=-1.67 36. p = 7.5 cm
51a. 2.62 mm 52. 3 cm 54 1.5 micro meters
55a. 2.25 mm 57. 0.9 m
Addition of Colors
Resistors in Parallel
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