Answers to practice exercises

Answers to practice exercises Chapter Exercise (Page 5). 9 kg 2. 479 mm. 66 4. 565 5. 225 6. 26 7. 07,70 8. 4 9. 487 0. 70872. $5, Exercise 2 (Page 6). (a) 468 (b) 868 2. (a) 827 (b) 458. (a) 86 kg (b) 584 kg 4. (a) 5 mm (b) 924 mm 5. (a) 48 m (b) 89 m 6. (a) 259 (b) 56 7. (a) 8067 (b) 47 8. 8 kg 9. 90 cm 0. 29 Exercise (Page 8). (a) 4 (b) 24 2. (a) 2 (b) 60. (a) 0 (b) 50 4. (a) 90 (b) 2700 5. (a) 2 (b) 20 6. (a) (b) 80 7. (a) 5 (b) 20 8. (a) 5 (b) 600 Chapter 2 Exercise 5 (Page 2). 2 7 5. 5 4 9. 77. 8 5 52 2. 22 9 6. 7 0 0. 47 6 4. 9 40. 7. 4 9 0. 5 4. 8. 2. 7, 4 9, 2, 5, 5 8 6 4 27 Exercise 6 (Page 4). 8 6 5 2.. 4. 5 2 28 5. 6. 7. 8 8. 5 2 5 9. 2 2 0. 2. 2. 5 4 2 4. 9 4. 5. 400 litres 6. 2880 litres Exercise 7 (Page 5) Exercise 4 (Page 9). 2 8 2. 9. 6 4. 4 4. 59 2. 4. 88 4. 5 5. 6. 22 7. 68 8. 5 5. 20 6. 7 5 7. 4 9 20 8. 2 Science for Engineering. 978--8-82688-5, John Bird. Published by Taylor & Francis. All rights reserved.

Exercise 8 (Page 6). 6: 2..5: or 7:2. 47: 4. 96 cm, 240 cm 5. 5 hours or 5 hours 5 minutes 4 6. 680, 840, 920 7. 2 cm 8. 8960 bolts Chapter Exercise (Page 25). 27 2. 28. 00,000 4. 96 5. ± 5 6. 00 7. 8. 64 Exercise 9 (Page 7). 4.8 2. 2.785. 65.8 4. 4.27 5..297 6. 0.000528 Exercise 0 (Page 7). 80. 2. 29.. 72.54 4. 24.8 5. 295. Exercise (Page 9). 4.998 2. 47.544. 456.9 4. 44.82 5. 626. 6. 0.444 7. 0.6296 8..56 9..84 0. (a) 24.8 (b) 24.82. (a) 0.0069 (b) 0.0064 2. (a) 8. 4 (b) 62. 6 Exercise 4 (Page 28). 28 2. 9. 6 4. 5. 6. 8 9 7. 00 8. 000 9. or 0.0 00 0. 5. 7 6 2. 6 = 729. 5 or or 5 24 4. 49 5. or 0.5 2 6. 7. 8. 5 2 7 7 9. 22. 2 20. 9 2. 2 5 2 2. 2 Exercise 2 (Page 20). 0.2% 2. 7.4%. 5.7% 4. 0.20 5. 0.025 6. 68.75% 7. (a) 2.2% (b) 79.2% (c) 69% 8. (b) 52.9 (d) 54.5 (c) 55.6 (a) 57. 9. 5 9 0. 6 6. 2.8 kg 2. 9.72 m. (a) 496.4 t (b) 8.657 g (c) 20 7 s 4. (a) 4% (b) 5. 6% (c) 5.6% 5. 7.49% 6. 7% 7. 8.7% 8. 2.7% 9. 2.5% 20. 779 to 86 2. (a)(i) 544 (ii)86 (b)(i) 44.65 K (ii) 49.5 k 22. 2592 rev/min Exercise 5 (Page 0). cubic metres, m 2. farad. square metres, m 2 4. metres per second, m/s 5. kilogram per cubic 6. joule metre, kg/m 7. coulomb 8. watt 9. volt 0. mass. electrical resistance 2. frequency. acceleration 4. electric current 5. inductance 6. length 7. temperature 8. angular velocity 9. 0 9 20. m, 0 2. 0 2 22. M, 0 6

Exercise 6 (Page 2). (a) 7.9 0 (b) 2.84 0 (c).9762 0 2 2. (a) 2.748 0 (b).7 0 4 (c) 2.7428 0 5. (a) 2.40 0 (b).74 0 2 (c) 9.2 0 4. (a).702 0 (b).004 0 (c).09 0 2 5. (a) 5 0 (b).875 0 (c).06 0 2 (d).25 0 2 6. (a) 00 (b) 92.7 (c) 54,00 (d) 7 7. (a) 0.089 (b) 0.674 (c) 0.008 8. (a).5 0 2 (b). 0 5 9. (a) 2 0 2 (b).5 0 0. (a) 2.7 0 kg m (b) 4.4 0 (c).767 0 2 (d) 5. 0 MeV (e) 9.57897 0 7 Ckg (f) 2.24 0 2 m mol Exercise 9 (Page 8). 2. 4.458. 4 2 4. 5. 0.0776 6. 0.279 7. 0.4424 8. 0.02 9. 0.422 0. 0.502. 0.6992 2. 5.8452. 4.995 4. 25.72 5. 59.0 6. 7.90 7..520 8. 0.770 Exercise 20 (Page 40). C = 52.78 mm 2. R = 7.5. 59 m/s 4. 5.02 mm 5. 0.44 J 6. 224.5 7. 4,20 kg/m 8. 28. m/s 9. 2.526 0. 508. W. V = 2.6 V 2. F = 854.5. E =.96 J 4. I = 2.77 A 5. s = 7.25 m 6. A = 7.84 cm 2 Exercise 7 (Page ). 60 kpa 2. 50 μ Wor. 50 MV 0.5 mw 4. 55 nf 5. 00 kw 6. 0.54 ma or 540 μ A 7..5 M 8. 22.5 mv 9. 5 GHz 0. 5 pf. 7 μ A 2. 46.2 k. μ A 4. 2.025 MHz 5. 62.50 m 6. 0.046 kg 7..5 0 8. 4 0 9..8 0 5 km 20. 0.05 nm 2. 5.6 MPa 22. 4. 0 m or 4. mm Chapter 4 Exercise 8 (Page 7). 5.82 2..0944. 50.0 4. 2.25 5..296 0 6. 2.440 7. 0.96 8. 0.0549 9. 0.57 0. 40. 7.9 2. 4.96. 9.448 4. 55.6 0 6 5..087 6. 52.70 7..22 8. 0.807 9. 2.57 20..256 2..068 22..5 0 6 2. 7.5 0 24. 4.2 0 6 25. 8.2 0 6 Chapter 5 Exercise 2 (Page 44). a 2. a + 2b + 4c. 6ab a 4. 6x 5y + 8z 5. 4x + 2y + 2 6. a + 5b 7. 2a b + 2c 8. p 2 q r 9. 8a 2 0. 6q 2. 46 2. 2. 6 4. 7y 5. a 2 + 2ab b 2 6. b Exercise 22 (Page 46). z 8 2. a 8. n 4. b 5. b 6. c 4 7. m 4 8. x or x 9. x 2 0. y 6 or y 6. t 8 2. c 4. a 9 or a 9 4. b 2 or b 2 5. b 0 6. s 9 7. a 2 b 2 c or a2 c b,9 8. 2 a 4 b 5 c 6 a b 9. a /6 b / c /2 or c

Exercise 2 (Page 47). x 2 + 5x + 6 2. 2x 2 + 9x + 4. 4x 2 + 2x + 9 4. 2j 2 + 2j 2 5. 4x 2 + 22x + 0 6. 2pqr + p 2 q 2 + r 2 7. x 2 + 2x + 6 8. 25x 2 + 0x + 9 9. 4x 2 24x + 6 0. 4x 2 9. ab 6a 2 2. 2x 2 2xy. 2a 2 ab 5b 2 4. p 7q 5. 7x y 4z 6. 4a 2 25b 2 7. x 2 4xy + 4y 2 8. 0 9. 4 a 20. 4ab 8a 2 Exercise 24 (Page 48). 2(x + 2) 2. 2x(y 4z). p(b + 2c) 4. 2x( + 2y) 5. 4d(d f 5 ) 6. 4x( + 2x) 7. 2q(q + 4n) 8. r(s + p + t) 9. x( + x + 5x 2 ) 0. bc(a + b 2 ). xy(xy 5y + 6) 2. 2pq 2 (2p 2 5q). 7ab(ab 4) 4. 2xy(y + x + 4x 2 ) 5. 2xy(x 2y 2 + 4x 2 y ) Exercise 27 (Page 54). 5 2. 2. 4 2 4. 2 5. 5 6. 4 7. 5 8. 2 9. 0.. 6 2. 9. 6 4 4. 5. 0 6. ± 2 Exercise 28 (Page 55). 0 7 2. 8 m/s 2..472 4. (a).8 (b) 0 5. 800 6. 76 MPa Exercise 29 (Page 56). 0.004 2. 0. 45 C 4. 50 5. 2 m, 8 m 6..5 N Chapter 7 Exercise 25 (Page 49). 2x + 8x 2 2. 2y 2 y. 4b 5b 2 4. 4 + a 5. 7. 0y 2 y + 4 4x 6. 2 8. 9x 2 + 4x Exercise 0 (Page 60). d = c e a b 2. x = y 7 4. a = v u t 7. x = y c m. v = c p 5. y = c (t x) 6. r = 2π 8. T = I PR 9. L = X L 2πf 9. 6a 2 + 5a 7 0. 5t 0. R = E I. x = a(y ) 2. C = 5 (F 2) 9 Chapter 6 Exercise 26 (Page 52). 2. 2. 6 4. 4 5. 2 6. 2 7. 8. 0 9. 0. 2 2. 0 2. 6. 2 4. 2.5 5. 2 Exercise (Page 6). r = S a S or r = a S 2. x = d λ (y + λ) orx = d + yd λ F AL. f = or f = F AL

4. D = AB2 5Cy 6. R 2 = RR R R 7. R = E e Ir I ( 8. b = 0. L = t2 g 4π 2 y ) 4ac 2 5. t = R R 0 R 0 α or R = E e I 9. x = 2. a = N 2 y x. v = r ay (y 2 b 2 ). u = v 2 2as 2L ρac Exercise 4 (Page 68). p =, q = 2 2. x = 4, y = 6. a = 2, b = 4. s = 4, t = 5. x =, y = 4 6. u = 2, v = 2 Exercise 5 (Page 69). a = 0.2, b = 4 2. I = 6.47, I 2 = 4.62. u = 2, a = 4, v = 26 4. m = 0.5, c = 5. a = 2, b = 0.40 6. F =.5, F 2 = 4.5 7. R = 5.7 kn, R 2 = 6.kN Exercise 2 (Page 62) ( ) (M ) xy. a = 2. R = 4 m n π + r4 (x + y). r = 4. L = mrcr ( x y) μ m (x ) c y 5. b = 6. r = a 2 x + y 7. v = uf u f,0 8. t 2 = t + Q mc,55 ( ) 2dgh 9. v =, 0.965 0. l = 8S2 + d, 2.725 0.0L d. 64 mm 2. w = 2R F ; kn/m L. t 2 = t Qd 4. r = v ( s ) ka ω 00 ( nπ ) (8ηlV ) 2; 5. F = EI.6 MN 6. r = 4 L πp Chapter 8 Exercise (Page 66). x = 4, y = 2 2. x =, y = 4. x = 2, y =.5 4. x = 4, y = 5. x =, y = 2 6. a = 2, b = 7. a = 5, b = 2 8. x =, y = 9. s = 2, t = 0. x =, y = 2. m = 2.5, n = 0.5 2. a = 6, b = Chapter 9 Exercise 6 (Page 75). (a) Horizontal axis, cm = 4V(orcm= 5 V); vertical axis, cm = 0 (b) Horizontal axis, cm = 5m; vertical axis, cm = 0. V (c) Horizontal axis, cm = 0 N; vertical axis, cm = 0.2 mm 2. (a) (b) 8 (c).5 (d) 5. 4.5 4. (a). (b).4 5. The 00 rev/min reading should be 070 rev/min; (a) 000 rev/min (b) 67 V Exercise 7 (Page 79). Missing values: 0.75, 0.25, 0.75,.75, 2.25, 2.75 Gradient = 2 2. (a) 4, 2 (b), 0 (c), 4 (d) 0, 4. (a) 6, (b) 2, 4 (c), 0 (d) 0, 7 4. (a) 5 (b) 4 (c) 5 6 5. (a) and (c), (b) and (e) 6. (2, ) 7. (a) 89 cm (b) N (c) 2.4 (d) l = 2.4 W + 48

Exercise 8 (Page 8). (a) 40 C (b) 28 2. (a) 850 rev/min (b) 77.5 V. (a) 0.25 (b) 2 N (c) F = 0.25L+ 2 (d) 89.5 N (e) 592 N (f) 22 N 4. (a) 22.5 m/s (b) 6.5 s (c) v = 0.7t + 5.5 5. m = 26.8L 6. (a) 5 (b) 6 (c) E = 5 L +6 (d) 2 N (e) 65 N 7. a = 0.85, b = 2, 254. kpa, 275.5 kpa, 280 K Chapter 0 Exercise 9 (Page 87). 24 m 2. 9.54 mm. 20.8 cm 4. 7.2 m 5..8 cm 6. 24. mm 7. 20.8 km 8..5 m, 0 cm 9. 2.7 nautical miles Exercise 40 (Page 89). sin Z = 9 40, cos Z = 4 4, tan X = 40 9, cos X = 9 4 2. sin A = 5, cos A = 4 5, tan A = 4, sin B = 4 5, cos B = 5, tan B = 4. sin A = 8 7, tan A = 8 5 5 5 8 4. (a) (b) (c) 7 7 5 5. (a) sin θ = 7 25 6. 9.44 (b) cos θ = 24 25 Exercise 42 (Page 9). (a) 2.22 (b) 5.69 (c) 4.87 (d) 8.49 (e) 5.595 (f) 5.275 2. (a) AC = 5.8 cm, A = 59.04, C = 0.96 (b) DE = 6.928 cm, D = 0, F = 60 (c) J = 62, HJ = 5.64 cm, GH = 0.60 cm (d) L = 6, LM = 6.80 cm, KM =.7 cm (e) N = 26, ON = 9.25 cm, NP = 8.20 cm (f) S = 49, RS = 4.46 cm, QS = 6.625 cm. 6.54 m 4. 9.40 mm 5. 6.5 m Exercise 4 (Page 98). C = 8, a = 4. mm, c = 28.9 mm, area = 89 mm 2 2. A = 52 2, c = 7.568 cm, a = 7.52 cm, area = 25.65 cm 2. D = 9 48, E = 4 2, e = 6.0 cm, area = 4 cm 2 4. E = 49 0, F = 26 8, f = 5.09 mm, area = 85.6 mm 2 5. p =.2 cm, Q = 47.5, R = 78.65, area = 77.7 cm 2 6. p = 6.27 m, Q = 0.8, R = 44.7, area = 6.98 m 2 7. X = 8., Y = 52.62, Z = 44.05, area = 27.8 cm 2 8. X = 29.77, Y = 5.50, Z = 96.7, area = 55 mm 2 Exercise 44 (Page 99). 9 km 2. (a).4 m (b) 7.55. 6.4 m 4. BF =.9m, EB = 4.0m 5. 6.5 m, 5.7 m 6. 2.48 A, 4. 7. x = 69. mm, y = 42 mm 8..66 mm Exercise 4 (Page 9). 2.7550 2. 4.846. 6.52 4. (a) 0.00 (b) 0.5865 5. 42. 6. 5.25 7. 7.78 8. 7 56 9. 22 0. 4 54. 29.05 2. 20 2. (a) 40 (b) 6.79 m Chapter Exercise 45 (Page 06). p = 05, q = 5 2. r = 42, s = 95. t = 46

Exercise 46 (Page 0). (i) rhombus (a) 4 cm 2 (b) 6 cm (ii) parallelogram (a) 80 mm 2 (b) 80 mm (iii) rectangle (a) 600 mm 2 (b) 00 mm (iv) trapezium (a) 90 cm 2 (b) 62.9 cm 2. 5.7 cm 2. (a) 80 m (b) 70 m 4. 27.2 cm 2 5. 8 cm 6. 200 mm 7. (a) 29 cm 2 (b) 650 mm 2 8. 560 m 2 9..4 cm 0. 6750 mm 2. 4.0 cm 2 2. 2 Exercise 47 (Page ). 482 m 2 2. (a) 50.27 cm 2 (b) 706.9 mm 2 (c) 8 mm 2. 25 mm 2 4. (a) 20.9 mm (b) 6.4 mm 5. (a) 5.0 cm 2 (b) 29.9 mm 2 6. 577 mm 2 7..89 m 2 Exercise 5 (Page 9). (a) π (b) 5π 6 2 (c) 5π 4 2. (a) 0.88 (b).48 (c) 4.054. (a) 20 (b) 80 (c) 05 4. (a) 0 4 (b) 54 8 (c) 44 5 5. 04.7 rad/s Exercise 52 (Page 2). cm 2 2. 276 mm 2. 790 mm 2 4. 802 mm 2 5. 709 mm 2 6. 269 m 2 7. 548 m 2 8. (a) 06.0 cm (b) 78.9 cm 2 9. 2.46 m 2 0. 7.80 cm, 74.07 cm 2. (a) 59.86 mm (b) 97.8 mm 2. 26.2 cm. 82.5 4. 748 5. (a) 0.698 rad (b) 804.2 m 2 6. 0.47 m 2 7. (a) 96 mm 2 (b) 42.24% 8. 70.8 mm 9. 7.74 mm Chapter Exercise 5 (Page 27) Exercise 48 (Page 4). 92 mm 2 2. 624 mm 2. (a) 0.98 ha (b) 456 m Exercise 49 (Page 5). 80 ha 2. 80 m 2..4 ha..2 m 2. 5cm. 8cm 4. (a) 840 mm (b) 792 mm 2 5. 972 litres 6. 5 cm, 5 g 7. 500 litres 8..44 m 9. (a) 5. cm (b) 6. cm 2 0. (a) 2400 cm (b) 2460 cm 2. 7.04 m 2. 8796 cm. 4.709 cm, 5.9 cm 2 4. 2.99 cm 5. 28,060 cm,.099 m 2 6. 8.22 m by 8.22 m 7. 4cm 8. 4.08 m Exercise 54 (Page 0) Chapter 2 Exercise 50 (Page 8). 45.24 cm 2. 259.5 mm. 2.629 cm 4. 47.68 cm 5. 8.7 cm 6. 2,70 km 7. 97. mm. 20. cm, 59.0 cm 2 2. 7.68 cm, 25.8 cm 2.. cm,. cm 2 4. cm 5. 268 mm 6. (a) 268,08 mm or 268.08 cm (b) 20,06 mm 2 or 20.06 cm 2 7. 8.5 cm 8. (a) 52 0 6 km 2 (b).09 0 2 km 9. 664 0. 92 m, 92,000 litres

Exercise 55 (Page 4). 5890 mm 2 or 58.90 cm 2 2. (a) 56.55 cm (b) 84.82 cm 2..57 kg 4. 29.2 cm 5. 9.4 m 2 6. (i) (a) 670 cm (b) 52 cm 2 (ii) (a) 80 cm (b) 54 cm 2 (iii) (a) 56.5 cm (b) 84.8 cm 2 (iv) (a) 0.4 cm (b) 2.0 cm 2 (v) (a) 96.0 cm (b) 46 cm 2 (vi) (a) 86.5 cm (b) 42 cm 2 (vii) (a) 805 cm (b) 59 cm 2 7. (a) 7.9 cm (b) 8.0 cm 8. 0. m, 25.5 m 2 9. 6560 litres 0. 657. cm, 027 cm 2. (a) 458 litres (b) 9.77 m 2 (c) 40.45 Exercise 59 (Page 5).,400 kg/m 2..5 kg. 20 litres 4. 8.9 5. 8000 kg/m 6. (a) 800 kg/m Exercise 60 (Page 5) (b) 0.0025 m or 2500 cm Answers found within the text of the chapter, pages 49 to 52. Exercise 6 (Page 5). (c) 2. (d). (b) 4. (a) 5. (b) 6. (c) 7. (b) 8. (b) 9. (c) 0. (a) Exercise 56 (Page 6). 8:25 2. 7.2 g Chapter 5 Exercise 57 (Page 40). (b) 2. (d). (b) 4. (b) 5. (a) 6. (c) 7. (c) 8. (d) 9. (b) 0. (c). (a) 2. (d). (a) 4. (b) 5. (a) 6. (d) 7. (a) 8. (b) 9. (d) 20. (d) 2. (a) 22. (a) 2. (a) 24. (a) 25. (a) 26. (d) 27. (b) 28. (c) 29. (d) 0. (b). (a) 2. (c). (b) 4. (b) 5. (c) 6. (c) 7. (b) 8. (d) 9. (c) 40. (c) 4. (a) 42. (a) 4. (c) 44. (b) 45. (d) 46. (b) 47. (d) 48. (b) 49. (d) 50. (a) 5. (a) 52. (b) 5. (a) 54. (a) 55. (d) 56. (d) 57. (c) 58. (b) 59. (c) 60. (c) 6. (c) 62. (d) 6. (a) 64. (a) 65. (c) 66. (b) 67. (b) 68. (d) 69. (d) 70. (a) Chapter 4 Exercise 58 (Page 5). (a) 0.052 m (b) 0.02 m 2 (c) 0.0 m 2. (a) 2.5 m 2 (b) 2.5 0 6 mm 2. (a) 7.5 m (b) 7.5 0 9 mm 4. (a) 0.006 m (b) 600 cm (c) 6. 0 6 mm Exercise 62 (Page 59). (a) mixture (b) compound (c) mixture (d) element 2..2 kg. See page 42 4. See page 44 Exercise 6 (Page 59) Answers found within the text of the chapter, pages 55 to 59. Exercise 64 (Page 59). (d) 2. (c). (a) 4. (b) 5. (a) 6. (b) 7. (b) 8. (c) Chapter 6 Exercise 65 (Page 62). (a) 72 km/h (b) 20 m/s 2..6 km. days 9 hours

Exercise 66 (Page 64). 0toA, 0 km/h; A to B, 40 km/h; B to C, 0 km/h; 0toC, 24 km/h; A to C, 20 km/h 2. 4 m/s, 2.86 m/s,. m/s, 2.86 m/s,.2 m/s. 9 km 4.. m/s or 200 km/h 5. 2.6 0 km Chapter 8 Exercise 74 (Page 78). 87 N 2..87 kn, 6.55 s. 0.560 m/s 2 4. 6.46 kn 5. (a).62 kn (b) 9.62 kn (c) 24.62 kn Exercise 67 (Page 65). 2.5 km 2. 4 m/s Exercise 75 (Page 80). 988 N, 4.86 km/h 2. 0. m/s 2. 0 kg Exercise 68 (Page 66) Answers found within the text of the chapter, pages 6 to 66. Exercise 69 (Page 67). (c) 2. (g). (d) 4. (c) 5. (e) 6. (b) 7. (a) 8. (b) 9. (d) 0. (a). (a) 2. (b). (c) 4. (d) Chapter 7 Exercise 70 (Page 7). 50 s 2. 9.26 0 4 m/s 2. (a) 0.02 m/s 2 (b) 0 (c) 0.70 m/s 2 4. A to B, 2 m/s 2, B to C, 2.5 m/s 2, C to D,.5 m/s 2 Exercise 7 (Page 7). 2.25 m/s 2. 0.2 s. 7.6 m/s 4. 9.6 km/h 5. 2 min 5 s 6..5 m/s, 0.45 m/s 2 Exercise 72 (Page 7) Answers found within the text of the chapter, pages 69 to 7. Exercise 7 (Page 7). (b) 2. (a). (c) 4. (e) 5. (i) 6. (g) 7. (d) 8. (c) 9. (a) 0. (d) Exercise 76 (Page 80) Answers found within the text of the chapter, pages 75 to 80. Exercise 77 (Page 80). (c) 2. (b). (a) 4. (d) 5. (a) 6. (b) 7. (b) 8. (a) 9. (a) 0. (d). (d) 2. (c) Chapter 9 Exercise 78 (Page 87). 4.0 kn in the direction of the forces 2. 68 N in the direction of the 58 N force. 6.8 N at 20 4. 2.6 N at 79 5..4 kn at 8 Exercise 79 (Page 88). 2.6 N at 20 2. 5.7 N at 72. 26.7 N at 82 4. 0.86 kn at 0 5. 5.5 N at 52 Exercise 80 (Page 88)..52 kn at 05 2. 6.84 N at 9.8..8 kn at 8.9 4. 5.69 N at 7.67 5. 0.86 kn at 00.94

Exercise 8 (Page 90).. N at 45 to force A 2. 5.5 kn at 7 to force (i.e. 7 to the horizontal). 72 kn at 7 to force P 4. 4.2 N, 9 East of North Exercise 82 (Page 92). 5.86 N, 8.06 N 2. 9.96 kn, 7.77 kn. 00 N force at 48 to the 60 N force, 90 N force at 277 to the 60 N force Exercise 87 (Page 204). 75% 2..2 kj. 4m 4. 0 kj Exercise 88 (Page 208). 600 kj 2. 4kW. (a) 500 N (b) 625 W 4. (a) 0.8 MJ (b) 2 kw 5. 60 m 6. (a) 72 MJ (b) 00 MJ 7..5 kw 8. 480 W 9. 00 kw 0. 90 W Exercise 8 (Page 95). 0.08 N, 20.67 N 2. 9.09 N at 9.92..06 N at 45.40 to force A 4. 5.50 kn at 7.27 to force (i.e. 7.27 to the horizontal) 5. 8.82 kn at 20.0 to the horizontal 6. 4.96 N at 0.2 to the horizontal Exercise 84 (Page 95) Answers found within the text of the chapter, pages 8 to 94. 2. 5 N acting horizontally to the right. 0 N at 20 5. 5 N at 45 Exercise 89 (Page 2). 8. m 2. 96.2 J. 90 kj 4. 76.6 kj, 76.6 kj 5. 200 kj, 209 m 6. 8 kj, 4.0 m/s 7. 4.85 m/s (a) 2.8 m/s (b) 4.70 kn Exercise 90 (Page 2) Answers found within the text of the chapter, pages 98 to 2. Exercise 9 (Page 22). (b) 2. (c). (c) 4. (a) 5. (d) 6. (c) 7. (a) 8. (d) 9. (c) 0. (b). (b) 2. (a). (d) 4. (a) 5. (d) Exercise 85 (Page 96). (b) 2. (a). (b) 4. (d) 5. (b) 6. (c) 7. (b) 8. (b) 9. (c) 0. (d). (c) 2. (d). (d) 4. (a) Chapter 20 Exercise 86 (Page 202). 75 kj 2. 20 kj. 50 kj 4..6 J 5. (a) 2.5 J (b) 2. J 6. 6.5 kj Chapter 2 Exercise 92 (Page 25). 4.5 N m 2. 200 mm. 50 N Exercise 9 (Page 27). 50 mm,.8 kn 2. 560 N. R A = R B = 25 N 4. 5N,25mm

Exercise 94 (Page 220). 2.0 kn, 24 mm 2..0 kn, 64 mm. 80 m 4. 6 kn 5. 50 N, 50 N 6. (a) R = kn, R 2 = 2 kn (b) 5.5 kn Exercise 0 (Page 2) Answers found within the text of the chapter, pages 224 to 2. Exercise 02 (Page 2) Exercise 95 (Page 22) Answers found within the text of the chapter, pages 24 to 220. Exercise 96 (Page 22). (a) 2. (c). (a) 4. (d) 5. (a) 6. (d) 7. (c) 8. (a) 9. (d) 0. (c). (b) 2. (c). (a) 4. (c) 5. (a) 6. (d) 7. (c) 8. (b) 9. (d) 0. (c). (b) 2. (d). (a) Chapter 2 Exercise 0 (Page 25). 250 N 2. 0.24. (a) 675 N (b) 652.5 N Exercise 04 (Page 26) Chapter 22 Exercise 97 (Page 226). ω = 90 rad/s, v = 6.2 m/s 2. ω = 40 rad/s, v = 0 m/s Answers found within the text of the chapter, pages 2 to 26. Exercise 05 (Page 26). (c) 2. (c). (f) 4. (e) 5. (i) 6. (c) 7. (h) 8. (b) 9. (d) 0. (a) Exercise 98 (Page 227). 275 rad/s, 8250/π rev/min 2. 0.4 π rad/s 2, 0.π m/s 2 Exercise 99 (Page 229). 2.69 s 2. 222.8 rad/s 2. 87.5 revolutions 4. (a) 60 rad/s (b) 4 rad/s 2 (c) 2,000/π rev Chapter 24 Exercise 06 (Page 240). (a). (b) (c) 0% 2. 8. (a) 5 (b) 500 mm 4. (a) F e = 0.04F l + 70 (b) 25 (c) 8.% 5. 40 N, 48% Exercise 07 (Page 242) Exercise 00 (Page 2). 8.5 km/h at 7.6 to the vertical 2. 4 min 55 s, 60. 22.79 km/h in a direction E 9.78 N. 60% 2..5 kn, 9.75% Exercise 08 (Page 24). 9.425 kn 2. 6.9 N

Exercise 09 (Page 245). 6, 0 rev/s 2. 6, 4.2. 250,.6 Exercise 6 (Page 259) Answers found within the text of the chapter, pages 250 to 259. Exercise 0 (Page 246)..25 m 2. 250 N.. N, / Exercise 7 (Page 260). (c) 2. (c). (a) 4. (b) 5. (c) 6. (c) 7. (b) 8. (d) 9. (b) 0. (c). (f) 2. (h). (d) Exercise (Page 246) Answers found within the text of the chapter, pages 28 to 246. Chapter 26 Exercise 8 (Page 265) Exercise 2 (Page 247). (b) 2. (f). (c) 4. (d) 5. (b) 6. (a) 7. (b) 8. (d) 9. (c) 0. (d). (d) 2. (b). 250 kg m/s 2. 2.4 kg m/s. 64 kg 4. 22,500 kg m/s 5. 90 km/h 6. 2 m/s 7. 0.7 m/s 8. (a) 26.25 m/s (b).25 m/s Chapter 25 Exercise (Page 25). 250 MPa 2. 2.78 mm. 69.44 MPa 4. 2.56 kn 5. 2.06 mm 6. 8.2 MPa Exercise 9 (Page 267). 8kgm/s 2..5 m/s. kn 4. (a) 200 kg m/s (b) 8 kn 5. 4.5 kn 6. (a).5 kg m/s (b) 50 N 7. 600 kg m/s Exercise 4 (Page 255). 2.25 mm 2. (a) 0.00002 (b) 0.002%. 0.00025, 0.025% 4. (a) 22.2 MPa (b) 0.002 or 0.20% 5. (a) 25 kpa (b) 0.04 or 4% Exercise 5 (Page 258). 800 N 2. 0 mm. (a) 4.75 kn (b).2 mm 4. (a) 9 kn (b) 0.057 mm 5. 2.6 GPa 6. (a) 27.5 mm (b) 68.2 GPa 7. 0.0% Exercise 20 (Page 267) Answers found within the text of the chapter, pages 262 to 267. Exercise 2 (Page 267). (d) 2. (b). (f) 4. (c) 5. (a) 6. (c) 7. (a) 8. (g) 9. (f) 0. (f). (b) 2. (e) Chapter 27 Exercise 22 (Page 27). 70 N m 2. 60 mm

Exercise 2 (Page 27). 9. kj 2. 52.8 rev. 45 N m 4. 2.66 N m 5..75 rad/s 6. 6.76 MW 7. 27.52 MW 8. (a). N m (b) 540 kj Exercise 24 (Page 275). 272.4 N m 2. 0 kg m 2. 502.65 kj, 94 rev/min 4..885 kj, 209.5 rev/min 5. 6.28 kn m 6. 6.6 J 7. (a) 2.857 0 kg m 2 (b) 24.48 J Exercise 0 (Page 28). 00 kpa 2. 4 kpa. 97.9 kpa 4. 74 mm Exercise (Page 285)..25 kn 2. 5.25 N. 0.0222 m 4. 48.6 N 5. 2.47 kn 6. 4.86 tonne/m, 4.86 7. 59 mm 8..55 kn Exercise 2 (Page 29) Answers found within the text of the chapter, pages 280 to 29. Exercise 25 (Page 277). 6.05 kw 2. 70.7%, 280 mm. 57.0% 4. 404.2 N, 00 rev/min 5. 545.5 W 6. 4.905 MJ, min 22 s Exercise (Page 29). (b) 2. (d). (a) 4. (a) 5. (c) 6. (d) 7. (b) 8. (c) 9. (c) 0. (d). (d) 2. (d). (c) 4. (b) 5. (c) 6. (a) 7. (b) 8. (f) 9. (a) 20. (b) 2. (c) Exercise 26 (Page 278) Answers found within the text of the chapter, pages 270 to 277. Exercise 27 (Page 278). (d) 2. (b). (c) 4. (a) 5. (c) 6. (d) 7. (a) 8. (b) 9. (c) 0. (d). (a) 2. (c) Chapter 29 Exercise 4 (Page 295). (a) 24 K (b) 95 K (c) 456 K 2. (a) 4 C (b) 6 C (c) 42 C Exercise 5 (Page 297). 2. MJ 2. 90 kj. 5kg 4. 0 J/kg C 5. 65 C Chapter 28 Exercise 28 (Page 28). 28 kpa 2. 4.5 kn. 56 kpa Exercise 6 (Page 299). Similar to Figure 29., page 298 see section 29.5, page 298 Exercise 29 (Page 28). 4 kpa 2. (a) 0 Pa (b) 707 Pa. 400 kg/m Exercise 7 (Page 00). 8.75 MJ 2. 8.08 MJ..98 MJ 4. 2.4 MJ

Exercise 8 (Page 02) Answers found within the text of the chapter, pages 294 to 02. Exercise 45 (Page 9)..02 m 2. 57 C. 54.5 C 4. 28.5 litres Exercise 9 (Page 0). (d) 2. (b). (a) 4. (c) 5. (b) 6. (b) 7. (b) 8. (a) 9. (c) 0. (b). (d) 2. (c). (d) Chapter 0 Exercise 40 (Page 09). 50.0928 m 2. 6.45 0 6 K. 20.4 mm 4. (a) 0.945 mm (b) 0.045% 5. 0.45 mm 6. 47.26 C 7. 6.75 mm 8. 74 K Exercise 46 (Page 20). 4 kpa 2. 720 C Exercise 47 (Page 2). 80 kpa Exercise 48 (Page 22). 0.6 m 2. 2.0 m. 4.0 litres 4..24 kg 5..24 kg 6. 00 J/(kg K) 7. 460 J/(kg K) 8. 29 C 9. 77 C 0. 0.8 kg. 84 J/(kg K) Exercise 4 (Page 2). 2.584 mm 2 2. 58.8 K. (a) 0.72 mm (b) 280.5 mm 2 (c) 4207 mm 4. 29.7 mm 5. 2.02 litres 6. 50.4 litres 7. 0.0025 litres Exercise 49 (Page 25)..24 MPa 2. 0.60 m, 0.72 m. (a) 57.4 kpa, 42.6 kpa (b).94 kg 4. (a) 0.0068 m (b) 0.050 kg 5. (a) 2. kg (b).8 m Exercise 42 (Page ) Answers found within the text of the chapter, pages 06 to 2. Exercise 50 (Page 25) Answers found within the text of the chapter, pages 5 to 25. Exercise 4 (Page ). (b) 2. (c). (a) 4. (d) 5. (b) 6. (c) 7. (c) 8. (a) 9. (c) 0. (b) Chapter Exercise 44 (Page 7). 0. m 2. 25 kpa. 400 kpa 4. 24 kn 5. 2000 mm of mercury Exercise 5 (Page 25). (a) 2. (d). (b) 4. (b) 5. (c) 6. (d) 7. (b) 8. (c) 9. (c) 0. (b) Chapter 2 Exercise 52 (Page ). 270 C

Exercise 5 (Page ). 20 C Exercise 54 (Page 6) Answers found within the text of the chapter, pages 27 to 6. Exercise 6 (Page 5). (d) 2. (a). (c) 4. (b) 5. (d) 6. (d) 7. (b) 8. (c) 9. (a) 0. (a). (c) 2. (c). (b) 4. (a) 5. (c) 6. (b) 7. (d) 8. (d) Chapter 4 Exercise 55 (Page 6). (c) 2. (b). (d) 4. (b) 5. (i) 6. (a) 7. (e) 8. (d) 9. (e) or (f) 0. (k). (b) 2. (g) Exercise 62 (Page 56). (a) 8.75 (b)5m 2. (a) 5 (b) 0.625 mm 2. 0.2 4. 0.8 5..5 mm 2 6. 0.026 μ m 7. 0.26 Chapter Exercise 56 (Page 44). 5s 2. 600 C. min 20 s Exercise 6 (Page 58). 69 2. 24.69. 488 4. 26.4 5. 70 C 6. 64.8 7. 5.95 Exercise 57 (Page 46). 7 2. 0.25 A. 2m,5m 4. 0 V Exercise 64 (Page 58) Answers found within the text of the chapter, pages 5 to 58. Exercise 58 (Page 49). 0.4 A, 00 W 2. 20, 2.88 kw, 57.6 kwh. 0.8 W 4. 9.5 W 5. 2.5 V 6. (a) 0.5 W (b). W (c) 40 W 7. 8 kw, 20 A 8. 5kW 9. 26.70 0. kw, 90 kwh, 2.5 Exercise 65 (Page 58). (c) 2. (d). (b) 4. (d) 5. (d) 6. (c) 7. (b) Chapter 5 Exercise 59 (Page 50). A,5A Exercise 60 (Page 50) Answers found within the text of the chapter, pages 4 to 50. Exercise 66 (Page 65). (a) 8 V, 2.88 (b).5 V, 0.02 2. (a) 2.7 V (b).6 V (c) 0.7 V. 0.25 4. 8 V,.8 5. (a) A (b) 2 V 6. (i)(a) 6 V (b) 2 V (ii)(a) 4 (b) 0.25 7. 0.04, 5.2 V

Exercise 67 (Page 7) Answers found within the text of the chapter, pages 60 to 7. Exercise 7 (Page 86). (a) 2. (c). (c) 4. (c) 5. (a) 6. (d) 7. (b) 8. (c) 9. (d) 0. (d) Exercise 68 (Page 72). (d) 2. (a). (b) 4. (c) 5. (b) 6. (d) 7. (d) 8. (b) 9. (c) 0. (d). (c) 2. (a). (c) Chapter 6 Exercise 69 (Page 77). (a) 22 V (b) (c) 2.5,.5,5 2. 0 V, 0.5 A, 20,0,6. 4A,2.5 4. 45 V 5. (a).2 (b) 2 V 6. 6.77 7. (a) 4 (b) 48 V Chapter 7 Exercise 74 (Page 92). I = 2A,I 4 = A,I 6 = A 2. (a) I = 4A,I 2 = A,I = A (b) I = 40 A, I 2 = 60 A, I = 20 A, I 4 = 00 A, I 5 = 80 A. 2.62 A, 42.09 W 4. 2.76 A, 7.407 V,.95 V 5. (a) 60.8 ma (b) 5.0 ma (c) 45.28 ma (d) 4.20 mw 6. I =.26 A, I 2 = 0.74 A, I = 0.6 A, I 4 =.42 A, I 5 = 0.58 A Exercise 70 (Page 8). (a) (b) A (c) 2.25 A, 0.75 A 2. 2.5 A, 2.5. (a)(i) 5 (ii) 60 k (iii) 28 (iv) 6. k (b)(i).2 (ii). k (iii) 2.29 (iv) 46.54 4. 8 5. 27.5 6. 2.5,6A 7. (a).6 A (b) 6 8. (a) 0 V (b) 42 V 9. I =5A,I 2 = 2.5 A, I =.67 A, I 4 = 0.8 A, I 5 =A, I 6 =2A,V =20V,V 2 =5V,V =6V 0..8 A Exercise 7 (Page 85). 400 2. (a) 70 V (b) 20 V Exercise 75 (Page 9) Answers found within the text of the chapter, pages 88 to 9. Exercise 76 (Page 9). (a) 2. (d). (c) 4. (b) 5. (c) Chapter 8 Exercise 77 (Page 40)..5 T 2. 2.7 mwb. 2 cm 4. 4 cm by 4 cm Exercise 72 (Page 85) Answers found within the text of the chapter, pages 74 to 85. Exercise 78 (Page 404). 2.0 N, 4.8 N 2. 4.0 A. 0.80 T 4. 0.582 N 5. (a) 4.2 mm (b) towards the viewer

Exercise 79 (Page 405). 8 0 9 N 2. 0 6 m/s Exercise 86 (Page 47). (c) 2. (b). (c) 4. (a) 5. (d) 6. (a) 7. (b) 8. (c) 9. (d) 0. (a). (b) 2. (a). (d) 4. (b) and (c) Exercise 80 (Page 405) Answers found within the text of the chapter, pages 95 to 405. Chapter 40 Exercise 8 (Page 405). (d) 2. (d). (a) 4. (a) 5. (b) 6. (b) 7. (d) 8. (c) 9. (d) 0. (a). (c) 2. (c) Exercise 87 (Page 42). (a) 0.4 s (b) 0 ms (c) 25 μs 2. (a) 200 Hz (b) 20 khz (c) 5 Hz. 800 Hz Chapter 9 Exercise 82 (Page 42). 0.5 V 2. 25 m/s. (a) 0 (b) 0.6 A 4. T, 0.25 N 5..56 mv 6. (a) 48 V (b).9 V (c) 24 V 7. (a) 0.2 V (b) 0.408 N Exercise 8 (Page 44). 4.5 V 2..6 mh. 250 V 4. (a) 80 V (b) 5.4 mwb Exercise 88 (Page 426). (a) 50 Hz (b) 5.5 A,. A (c) 2.8 A (d) 4.0 A 2. (a) (i) 00 Hz (ii) 2.50 A (iii) 2.87 A (iv).5 (v).74 (b) (i) 250 Hz (ii) 20 V (iii) 20 V (iv).0 (v).0 (c) (i) 25 Hz (ii) 8 A (iii) 9.56 A (iv).09 (v).2 (d) (i) 250 Hz (ii) 25 V (iii) 50 V (iv) 2.0 (v) 2.0. (a) 50 V (b) 70 V 4. 22. V 5. 282.9 V, 80.2 V 6. 84.8 V, 76.4 V 7. 2.55 A, 6.65 A Exercise 84 (Page 46). 96 2. 990 V. 6 V 4. 000 turns 5. 2 V, 60 A 6. 50 A 7. 6 V, 45 A 8. 225 V, :2 Exercise 89 (Page 426) Answers found within the text of the chapter, pages 420 to 426. Exercise 85 (Page 46) Answers found within the text of the chapter, pages 408 to 46. Exercise 90 (Page 427). (b) 2. (c). (d) 4. (d) 5. (a) 6. (d) 7. (c) 8. (b) 9. (c) 0. (b)

Chapter 4 Exercise 9 (Page 42). 2.5 mc 2. 2kV. 2.5 μf 4..25 ms 5. 2kV 6. 750 kv/m 7. 2.5 μc/m 2, 50 kv/m Exercise 92 (Page 44). 885 pf 2. 0.885 mm. 7 4. 2.97 mm 5. 200 pf Exercise 9 (Page 45). (a) 8 μf (b).5 μf 2. 5 μf. (a) 0.06 μf (b) 0.25 μf 4. 2.4 μf, 2.4 μf 5. (a).2 μf (b) 00 V 6. 4.2 μf each Exercise 94 (Page 46). (a) 0.02 μf (b) 0.4 mj 2. 20 J. 550 V 4. (a) 0.04 mm (b) 6.6 cm 2 (c) 0.02 J (d) kw Exercise 98 (Page 442) Answers found within the text of the chapter, pages 429 to 442. Exercise 99 (Page 44). (a) 2. (b). (c) 4. (a) 5. (b) 6. (b) 7. (c) 8. (c) 9. (c) 0. (d). (c) 2. (b). (d) 4. (a) Chapter 42 Exercise 200 (Page 448). (a) 0.250 A (b) 0.28 A (c) 2.82 W (d) 56.64 W 2. (a) 900 W (b) 904.5 W Exercise 20 (Page 452). (a) 4.7 Hz (b) 76 V 2. (a) 0.56 Hz (b) 8.4 V. (a) 7.4 Hz (b) 220 V (c) 77.78 V Exercise 95 (Page 440). 50 V 2. 44 ms. 0.8 Wb/s 4..5 V 5. 90 V Exercise 96 (Page 44). 62.5 J 2. 0.8 mj. 40 H Exercise 202 (Page 459). k 2..525 V Exercise 20 (Page 459) Answers found within the text of the chapter, pages 445 to 459. Exercise 97 (Page 442). (a) 7.2 H (b) 90 J (c) 80 V 2. 4H. 40 ms 4. 2.5 H,.25 kv 5. 2,500 Exercise 204 (Page 459). (f) 2. (c). (a) 4. (i) 5. (j) 6. (g) 7. (c) 8. (b) 9. (p) 0. (d). (o) 2. (n). (a)

Chapter 4 Exercise 205 (Page 472) Exercise 206 (Page 472). (d) 2. (a). (c) 4. (d) 5. (b) 6. (a) 7. (b) 8. (c) Answers found within the text of the chapter, pages 465 to 472.