Answers to practice exercises 341
Chapter 3
Exercise 8 (page 17)
1.
13
20
2.
9
250
3.
7
40
4.
6
125
5. (a)
13
20
(b)
21
25
(c)
1
80
(d)
141
500
(e)
3
125
6. 4
21
40
7. 23
11
25
8. 10
3
200
9. 6
7
16
10. (a) 1
41
50
(b) 4
11
40
(c) 14
1
8
(d) 15
7
20
(e) 16
17
80
11. 0.625
12. 6.6875 13. 0.21875 14. 11.1875
15. 0.28125
Exercise 9 (page 18)
1. 14.18
2. 2.785
3. 65.38
4. 43.27
5. 1.297
6. 0.000528
Exercise 10 (page 19)
1. 80.3
2. 329.3 3. 72.54
4. −124.83
5. 295.3 6. 18.3
7. 12.52 mm
Exercise 11 (page 20)
1. 4.998 2. 47.544
3. 385.02 4. 582.42
5. 456.9 6. 434.82
7. 626.1
8. 1591.6
9. 0.444 10. 0.62963
11. 1.563 12. 53.455
13. 13.84 14. 8.69
15. (a) 24.81 (b) 24.812
16. (a) 0.00639 (b) 0.0064 17. (a) 8. ˙
4 (b) 62. ˙
6
18. 2400
Chapter 4
Exercise 12 (page 23)
1. 30.797
2. 11927
3. 13.62
4. 53.832
5. 84.42
6. 1.0944 7. 50.330 8. 36.45
9. 10.59
10. 12.325
Exercise 13 (page 24)
1. 12.25
2. 0.0361 3. 46.923 4. 1.296 × 10 −3
5. 2.4430 6. 2.197 7. 30.96 8. 0.0549
9. 219.26 10. 5.832 × 10
−6
Exercise 14 (page 25)
1. 0.571
2. 40
3. 0.13459
4. 137.9
5. 14.96
6. 19.4481 7. 515.36 × 10 −6
8. 1.0871 9. 15.625 × 10 −9
10. 52.70
Exercise 15 (page 25)
1. 2.182
2. 11.122
3. 185.82
4. 0.8307
5. 0.1581
6. 2.571
7. 5.273
8. 1.256
9. 0.30366
10. 1.068
11. 3.5 ×10 6
12. 37.5 ×10 3
13. 4.2 × 10 −6 14. 202.767 ×10 −3 15. 18.32 ×10 6
Exercise 16 (page 27)
1. 0.4667
2.
13
14
3. 4.458
4. 2.732
5.
1
21
6. 0.7083
7. −
9
10
8. 3
1
3
9. 2.567
10. 0.0776
Exercise 17 (page 27)
1. 0.9205
2. 0.7314 3. 2.9042 4. 0.2719
5. 0.4424
6. 0.0321 7. 0.4232 8. 0.1502
9. −0.6992 10. 5.8452
Exercise 18 (page 28)
1. 4.995
2. 5.782
3. 25.72
4. 69.42
5. 0.6977
6. 52.92
7. 591.0
8. 17.90
9. 3.520
10. 0.3770
Exercise 19 (page 29)
1. A = 66.59 cm 2 2. C = 52.78 mm 3. R = 37.5
4. 159 m/s
5. 0.407 A
6. 5.02 mm
7. 0.144 J
8. 628.8 m 2
9. 224.5
10. 14 230 kg/ m 3 11. 281.1 m/s
12. 2.526
Exercise 20 (page 30)
1. £589.27
2. 508.1 W
3. V = 2.61 V
4. F = 854.5
5. I = 3.81 A 6. T = 14.79 s
7. E = 3.96 J
8. I = 12.77 A 9. s = 17.25 m
10. A = 7.184 cm 2 11. V = 7.327
12. (a) 12.53 h (b) 1 h 40 min, 33 m.p.h.
(c) 13.02 h (d) 13.15 h
Chapter 3
Exercise 8 (page 17)
1.
13
20
2.
9
250
3.
7
40
4.
6
125
5. (a)
13
20
(b)
21
25
(c)
1
80
(d)
141
500
(e)
3
125
6. 4
21
40
7. 23
11
25
8. 10
3
200
9. 6
7
16
10. (a) 1
41
50
(b) 4
11
40
(c) 14
1
8
(d) 15
7
20
(e) 16
17
80
11. 0.625
12. 6.6875 13. 0.21875 14. 11.1875
15. 0.28125
Exercise 9 (page 18)
1. 14.18
2. 2.785
3. 65.38
4. 43.27
5. 1.297
6. 0.000528
Exercise 10 (page 19)
1. 80.3
2. 329.3 3. 72.54
4. −124.83
5. 295.3 6. 18.3
7. 12.52 mm
Exercise 11 (page 20)
1. 4.998 2. 47.544
3. 385.02 4. 582.42
5. 456.9 6. 434.82
7. 626.1
8. 1591.6
9. 0.444 10. 0.62963
11. 1.563 12. 53.455
13. 13.84 14. 8.69
15. (a) 24.81 (b) 24.812
16. (a) 0.00639 (b) 0.0064 17. (a) 8. ˙
4 (b) 62. ˙
6
18. 2400
Chapter 4
Exercise 12 (page 23)
1. 30.797
2. 11927
3. 13.62
4. 53.832
5. 84.42
6. 1.0944 7. 50.330 8. 36.45
9. 10.59
10. 12.325
Exercise 13 (page 24)
1. 12.25
2. 0.0361 3. 46.923 4. 1.296 × 10 −3
5. 2.4430 6. 2.197 7. 30.96 8. 0.0549
9. 219.26 10. 5.832 × 10
−6
Exercise 14 (page 25)
1. 0.571
2. 40
3. 0.13459
4. 137.9
5. 14.96
6. 19.4481 7. 515.36 × 10 −6
8. 1.0871 9. 15.625 × 10 −9
10. 52.70
Exercise 15 (page 25)
1. 2.182
2. 11.122
3. 185.82
4. 0.8307
5. 0.1581
6. 2.571
7. 5.273
8. 1.256
9. 0.30366
10. 1.068
11. 3.5 ×10 6
12. 37.5 ×10 3
13. 4.2 × 10 −6 14. 202.767 ×10 −3 15. 18.32 ×10 6
Exercise 16 (page 27)
1. 0.4667
2.
13
14
3. 4.458
4. 2.732
5.
1
21
6. 0.7083
7. −
9
10
8. 3
1
3
9. 2.567
10. 0.0776
Exercise 17 (page 27)
1. 0.9205
2. 0.7314 3. 2.9042 4. 0.2719
5. 0.4424
6. 0.0321 7. 0.4232 8. 0.1502
9. −0.6992 10. 5.8452
Exercise 18 (page 28)
1. 4.995
2. 5.782
3. 25.72
4. 69.42
5. 0.6977
6. 52.92
7. 591.0
8. 17.90
9. 3.520
10. 0.3770
Exercise 19 (page 29)
1. A = 66.59 cm 2 2. C = 52.78 mm 3. R = 37.5
4. 159 m/s
5. 0.407 A
6. 5.02 mm
7. 0.144 J
8. 628.8 m 2
9. 224.5
10. 14 230 kg/ m 3 11. 281.1 m/s
12. 2.526
Exercise 20 (page 30)
1. £589.27
2. 508.1 W
3. V = 2.61 V
4. F = 854.5
5. I = 3.81 A 6. T = 14.79 s
7. E = 3.96 J
8. I = 12.77 A 9. s = 17.25 m
10. A = 7.184 cm 2 11. V = 7.327
12. (a) 12.53 h (b) 1 h 40 min, 33 m.p.h.
(c) 13.02 h (d) 13.15 h