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Electric Forces and Fields Section Review, p. 633 Givens Chapter 17 3. q 10.0 C q 10.0 C N 6.5 10 19 electrons 1.60 10 19 C/electron 1.60 10 19 C/electron Practice 17A, p. 636 1. q 1 8.0 C q 8.0 C r 5.0 c F k Cq 1q r F 30 N (8.99 10 9 N /C )(8.0 10 6 C) (0.050 ). r 0.30 q 1 1 10 9 C q 18 10 9 C a. F k Cq 1q r F. 10 5 N (8.99 10 9 N /C )(1 10 9 C)(18 10 9 C) (0.30 ) q 1 3.0 10 9 C q 3.0 10 9 C b. F k Cq 1q r (8.99 10 9 N /C )(3.0 10 9 C) (0.30 ) 9.0 10 7 N 3. q 1 6.0 C r 0.1 q 4.3 C 4. q 1 60.0 C q 50.0 C F 175 N a. F k Cq1q (8.99 10 9 N /C )(6.0 10 6 C)(4.3 10 6 C) r (0.1 ) F 16 N q 4.3 10 6 C c. N.7 10 13 electrons 1.60 10 19 C/electron 1.60 10 19 C/electron q 6.0 10 6 C d. N 1 3.8 10 13 electrons 1.60 10 19 C/electron 1.60 10 19 C/electron r k Cq1 q (8.99 10 9 N /C )(60.0 10 6 C)(50.0 10 6 C) F r 0.393 39.3 c 175 N Section One Pupil s Edition Ch. 17 1

Practice 17B, p. 639 Givens 1. q 1 6.0 C at x 0 c q 1.5 C at x 3.0 c q 3.0 C at x 5.0 c F 1, k Cq1q ( r 1,) F,3 k Cqq3 ( r,3) F 1,3 k Cq1q3 ( r 1,3) (8.99 10 9 N /C )(6.0 10 6 C)(1.5 10 6 C) (0.030 ) (8.99 10 9 N /C )(1.5 10 6 C)(.0 10 6 C) (0.00 ) (8.99 10 9 N /C )(6.0 10 6 C)(.0 10 6 C) (0.050 ) F 1,tot F 1, + F 1,3 (9.0 10 1 N) + (43 N) 47 N 9.0 10 1 N 67 N 43 N F 1,tot 47 N, along the negative x-axis F,tot F 1, + F,3 (9.0 10 1 N) + (67 N) 157 N F,tot 157 N, along the positive x-axis F 3,tot F,3 + F 1,3 (67 N) (43 N) 11.0 10 1 N F 3,tot 11.0 10 1 N, along the negative x-axis. q 1 3.0 C q 6.0 C q 3.4 C q 4 9.0 C r 1, r,4 r 3,4 r 1,3 15 c a. r 1,4 r,3 (1 5 c ) + ( 15 c ) r 1,4 r,3 1 c F 1, k Cq1q ( r 1,) F 1,3 k Cq1q3 ( r 1,3) 0 c + 0 c 44 0 c (8.99 10 9 N /C )(3.0 10 6 C)(6.0 10 6 C) (0.15 ) (8.99 10 9 N /C )(3.0 10 6 C)(.4 10 6 C) (0.15 ) 7. N.9 N F 1,4 k Cq1q4 ( r 1,4) (8.99 10 9 N /C )(3.0 10 6 C)(9.0 10 6 C) (0.1 ) F 1,x (7. N) + (5.5 N)(cos 45 ) 7. N + 3.9 N 11.1 N 5.5 N F 1,y (.9 N) (5.5 N)(sin 45 ).9 N 3.9 N 6.8 N F 1,tot (F 1, x ) + ( F 1, y ) (1 1. 1 N ) + ( 6. 8 N ) 1 3 N + 4 6 N F 1,tot 16 9 N 13.0 N q tan 1 6.8 11.1 31 F 1,tot b. F,1 7. N (See a.) F,3 k Cqq3 ( r,3) F,4 k Cqq4 ( r,4) 13.0 N, 31 below the positive x-axis (8.99 10 9 N /C )(6.0 10 6 C)(.4 10 6 C) (0.1 ) (8.99 10 9 N /C )(6.0 10 6 C)(9.0 10 6 C) (0.15 ).9 N N Ch. 17 Holt Physics Solution Manual

F,x (7. N) + (.9 N)(cos 45 ) 7. N +.1 N 5.1 N F,y ( N) + (.9 N)(sin 45 ) N +.1 N 4 N F,tot (F, x ) + ( F, y ) (5.1 N ) + ( 4 N ) 6 N + 5 80 N F,tot 61 0 N 5 N q tan 1 4 5. 1 78 F,tot 5 N, 78 above the negative x-axis c. F 4,1 5.5 N (See a.) F 4, N (See b.) F 4,3 k Cq4q3 ( r 4,3) (8.99 10 9 N /C )(9.0 10 6 C)(.4 10 6 C) (0.15 ) F 4,x (5.5 N)(cos 45 ) + (8.6 N) 3.9 N + 8.6 N 4.7 N F 4,y (5.5 N)(sin 45 ) ( N) 3.9 N N 18 N F 4,tot (F 4, x ) + ( F 4, y ) (4.7 N ) + ( 18 N ) N + 3 0 N F 4,tot 34 0 N 18 N q tan 1 18 4. 7 75 F 4,tot 18 N, 75 below the positive x-axis 8.6 N Practice 17C, p. 641 1. q 1.00 10 9 C at the origin q 4.00 10 9 C at x 1.5 q 3 3.00 10 9 C ( r 1q3 1,3) k Cqq3 ( r,3) q1 q (r 1, 3) (r, 3).00 10 9 P C 4. 00 10 9 C ( 1. 5 P) (4.00 10 9 C)(P ) (.00 10 9 C)(1.5 P).00 10 P 9 C (1.5 P) 4.00 10 9 C P 1.1 (0.707)(P) (1.707)(P) 1.1 P 0.64 fro q 1, or x 0.64 Section One Pupil s Edition Ch. 17 3

Givens. q 1 5.00 10 9 C q.00 10 9 C r 1, 40.0 c q 3 15.0 10 9 C ( r 1q3 1,3) k Cqq3 ( r,3) q1 q (r 1, 3) (r, 3) 5.00 10 9 9 C. 00 10 C P ( 0. 400 P) (.00 10 9 C)(P ) (5.00 10 9 C)(0.400 P) P 5. 0 0. 00 1 1 0 9 0 9 C C (0.400 P) P 0.63 (1.58)(P) (.58)(P) 0.63 P 0.45 4.5 c fro q 1 or (40.0 c 4.5 c) 15.5 c fro q 3. q 1 q 1.60 10 19 C e 9.109 10 31 kg F electric F g k C q 1q r e g r k Cq e 1g q (8.99 10 9 N /C )(1.60 10 19 C) 5.07 (9.109 10 31 kg)(9.81 /s ) Section Review, p. 64 1. q 1.0 C r 1 c q 3.5 C a. F k Cq 1q r F 4.4 N (8.99 10 9 N /C )(.0 10 6 C)(3.5 10 6 C) (0.1 ) 3. q 1. 10 9 C at x 1.5 q 5.4 10 9 C at x.0 q 3 3.5 10 9 C at the origin q.0 10 6 C c. N 1 1. 10 13 electrons 1.60 10 19 C/electron 1.60 10 19 C/electron F 1,3 k Cq1q3 ( r 1,3) F 1,3 3.1 10 8 N F,3 k Cqq3 ( r,3) F,3 4. 10 8 N (8.99 10 9 N /C )(. 10 9 C)(3.5 10 9 C) (1.5 ) (8.99 10 9 N /C )(5.4 10 9 C)(3.5 10 9 C) (.0 ) F 3,tot (3.1 10 8 N) (4. 10 8 N) 7.3 10 8 N F 3,tot 7.3 10 8 N, along the negative x-axis Ch. 17 4 Holt Physics Solution Manual

4. q 1 6.00 10 9 C q 3.00 10 9 C r 1, 60.0 c ( r 1q3 1,3) k Cqq3 ( r,3) q1 q (r 1, 3) (r, 3) 6.00 10 9 9 C 3. 00 10 C P ( 0. 600 P) (3.00 10 9 C)(P ) (6.00 10 9 C)(0.600 P) P 6. 3 0 0. 00 1 1 0 9 0 9 C C (0.600 P) P 0.849 (1.41)(P) (.41)(P) 0.849 P 0.35 fro q 1 35. c fro q 1 or (60.0 c 35. c) 4.8 c fro q Practice 17D, p. 647 1. q 1 5.00 C at the origin q 3.00 C at x 0.800 For the point y 0.500 on the y-axis, E 1 k Cq1 r 1 (8.99 10 9 N /C )(5.00 10 6 C) (0.500 ) 1.80 10 5 N/C E k Cq (8.99 10 9 N /C )(3.00 10 6 C) r (0.8 00 ) + ( 0. 50 0 ) (8.99 10 9 N /C )(3.00 10 6 C) E 0. 64 0 + 0. 50 (8.99 10 9 N /C )(3.00 10 6 C) E 3.03 10 4 N/C 0. 89 0 q tan 1 0. 800 0. 500 58.0 E y (1.80 10 5 N/C) (3.03 10 4 N/C)(cos 58.0 ) E y (1.80 10 5 N/C) (1.61 10 4 N/C) 1.64 10 5 N/C E x (3.03 10 4 N/C)(sin 58.0 ).57 10 4 N/C E tot (E y ) + ( E x ) (1.6 4 1 0 5 N /C ) + (. 57 1 0 4 N /C ) E tot (.6 9 1 0 10 N C / ) + ( 6. 60 1 0 8 N C / ) E tot. 76 1 0 10 N C / 1.66 10 5 N/C j tan 1 1. 64 10. 57 104 81.1 5 E tot 1.66 10 5 N/C, 81.1 above the positive x-axis Section One Pupil s Edition Ch. 17 5

Givens. r 5.3 10 11 3. E.0 10 4 N/C, along the positive x-axis q e q p 1.60 10 19 C E k Cq r (8.99 10 9 N /C )(1.60 10 19 C) (5.3 10 11 ) E 5.1 10 11 N/C, away fro the proton a. F Eq e (.0 10 4 N/C)(1.60 10 19 C) F 3. 10 15 N, along the negative x-axis b. F Eq p (.0 10 4 N/C)(1.60 10 19 C) F 3. 10 15 N, along the positive x-axis 5.1 10 11 N/C Section Review, p. 65 1. q 1 40.0 10 9 C q 60.0 10 9 C r 30.0 c 15.0 c E 1 k C r q 1 E k C r q (8.99 10 9 N /C )(40.0 10 9 C) (0.150 ) (8.99 10 9 N /C )(60.0 10 9 C) (0.150 ) 1.60 10 4 N/C.40 10 4 N/C E tot E 1 + E (1.60 10 4 N/C) (.40 10 4 N/C) 0.80 10 4 N/C E tot 8.0 10 3 N/C toward the 40.0 10 9 C charge Chapter Review and Assess, pp. 654 659 3. q 3.5 C q 3.5 10 6 C N. 10 13 electrons 1.60 10 19 C/electron 1.60 10 19 C/electron 18. q 1 q (46)(1.60 10 19 C) r ()(5.9 10 15 ) F k Cq 1q r (8.99 10 9 N /C )[(46)(1.60 10 19 C)] [()(5.9 10 15 )] 19. q 1.5 C q 5.0 C r 5.0 c 0. q 1.0e q 79e r.0 10 14 e 1.60 10 19 C F 3.5 10 3 N F k Cq 1q r F 45 N F k Cq 1q r F 91 N (8.99 10 9 N /C )(.5 10 6 C)(5.0 10 6 C) (0.050 ) (8.99 10 9 N /C )(.0)(79)(1.60 10 19 C) (.0 10 14 ) Ch. 17 6 Holt Physics Solution Manual

1. q 1 3.0 nc q 6.0 nc q 3.0 nc r 1, r,3 (1.0 ) + ( 1. 0 ). q 1 q.5 10 9 C q 3 3.0 10 9 C r,1 1.0 r 3,1 r 3, r 1, r,3 F 1, k Cq1q ( r 1,) (1.0 ) + ( 1. 0 ) F 1, 8.3 10 8 N F,3 k Cqq3 ( r,3). 0 1.4 F,3 5.5 10 8 N F x (8.3 10 8 N)(cos 45 ) + (5.5 10 8 N)(cos 45 ) F x (5.9 10 8 N) + (3.9 10 8 N) 9.8 10 8 N F y (8.3 10 8 N)(sin 45 ) + (5.5 10 8 N)(sin 45 ) F y (5.9 10 8 N) + (3.9 10 8 N).0 10 8 N F tot (F x ) + ( F y ) (9.8 1 0 8 N ) + (. 0 1 0 8 N ) F tot (9.6 1 0 15 N ) + ( 4. 0 1 0 16 N ) 1. 00 1 0 14 N F tot 1.00 10 7 N q tan 1. 0 9. 8 1 (8.99 10 9 N /C )(3.0 10 9 C)(6.0 10 9 C) (1.4 ) (8.99 10 9 N /C )(6.0 10 9 C)(.0 10 9 C) (1.4 ) F tot 1.00 10 7 N, 1 below the positive x-axis r 3,1 r 3, (0.5 0 ) + ( 0. 70 ) 0.86 F 3,1 F 3, k Cq3q1 ( r 3,1) F 3,1 F 3, 9.1 10 8 N (8.99 10 9 N /C )(3.0 10 9 C)(.5 10 9 C) (0.86 ) F x F 3,1 cos q + F 3, cos q F x (9.1 10 8 N) 0. 70 0. 86 + (9.1 10 8 N) 0 0. 70. 86 F x 7.4 10 8 N + 7.4 10 8 N 14.8 10 8 N F y F 3,1 sin q + F 3, sin q F x (9.1 10 8 N) 0. 50 0. 86 + (9.1 10 8 N) 0.50 0.86 0 N F tot (F 1 ) + ( F 4 ) (1 4. 8 1 0 8 N ) 14.8 10 8 N q tan 1 0 N 14.8 10 8 N 0 F tot 1.48 10 7 N along the +x-axis Section One Pupil s Edition Ch. 17 7

Givens 3. q 1 9.0 C at y 6.0 q 8.0 C at y 4.0 ( r 1q3 1,3) k Cqq3 ( r,3) 9.0 10 6 6 C 8. 0 10 C P ( 10.0 P) (8.0 10 6 C)(P ) (9.0 10 6 C)(10.0 P) 0 0 1 1 0 0 6 6 C C P 9. 8. (10.0 P) P 11 (1.1)(P) (.1)(P) 11 P 5. below q 1, or y 6.0 5. 0.8 q 3 is located at y 0.8 4. q 1 3.5 nc q 5.0 nc r 40.0 c q 3 6.0 nc ( r 1q3 1,3) k Cqq3 ( r,3) 3.5 10 9 C 5. 0 10 9 C P (0. 400 P) (5.0 10 9 C)(P ) (3.5 10 9 C)(0.400 P) 5 0 1 1 0 0 9 9 C C P 3. 5. (0.400 P) P 0.33 (0.84)(P) (1.84)(P) 0.33 P 0.18 18 c fro q 1 38. q 1 30.0 10 9 C q 60.0 10 9 C r 30.0 c 15.0 c E 1 k C r q 1 E k C r q (8.99 10 9 N /C )(30.0 10 9 C) (0.150 ) (8.99 10 9 N /C )(60.0 10 9 C) (0.150 ) 1.0 10 4 N/C.40 10 4 N/C E tot (1.0 10 4 N/C) (.40 10 4 N/C) 1.0 10 3 N/C E tot 1.0 10 3 N/C toward the 30.0 10 9 C charge Ch. 17 8 Holt Physics Solution Manual

39. q 1 5.7 C at x 3.0 q.0 C at x 1.0 For E at y.0 on the y-axis, r 1 (.0 ) + ( 3. 0 ) 4. 0 + 9.0 r (.0 ) + ( 1. 0 ) 4. 0 + 1.0 E 1 k Cq1 r 1 E k Cq r q 1 tan 1. 0 3. 0 34 (8.99 10 9 N /C )(5.7 10 6 C) (3.61 ) (8.99 10 9 N /C )(.0 10 6 C) (. ) 13.0 3.61 5. 0. 3.9 10 3 N/C 3.7 10 3 N/C q tan 1. 0 1. 0 63 E x (3.9 10 3 N/C)(cos 34 ) (3.7 10 3 N/C)(cos 63 ) E x (3. 10 3 N/C) (1.7 10 3 N/C) 1.5 10 3 N/C E y (3.9 10 3 N/C)(sin 34 ) + (3.7 10 3 N/C)(sin 63 ) E y (. 10 3 N/C) + (3.3 10 3 N/C) 5.5 10 3 N/C E tot (E x ) + ( E y ) (1.5 1 0 3 N /C ) + ( 5. 5 1 0 3 N /C ) E tot (. 1 0 6 N C / ) + ( 3. 0 1 0 7 N C / ) (3. 1 0 7 N C / ) 5.7 10 3 N/C q tan 1 5. 5 1. 5 75 E tot 5.7 10 3 N/C, 75 above the positive x-axis 40. q 1 (7.0 10 13 protons)(e) q (4.0 10 13 electrons)(e) e 1.60 10 19 C Q net q 1 + q [(7.0 10 13 ) (4.0 10 13 )](e) (3.0 10 13 )(e) Q net (3.0 10 13 )(1.60 10 19 C) Q net 4.8 10 6 C 41. a 6.3 10 3 /s e 9.109 10 31 kg 4. 1.00 g of Cu has 9.48 10 1 atos. 1 Cu ato has 9 electrons. a. F e a (9.109 10 31 kg)(6.3 10 3 /s ) 5.7 10 7 N F 5.7 10 7 N, in a direction opposite E b. E F 7 q 5. 7 10 N 1. 60 10 19 3.6 10 8 N/C C a. 1.00 g of Cu has (9.48 10 1 atos)(9 electrons/ato).75 10 3 electrons b. q tot (.75 10 3 electrons)(1.60 10 19 C/electron) 4.40 10 4 C Section One Pupil s Edition Ch. 17 9

Givens 43. q 1 6.0 C q 1.5 C q 3.0 C r 1, 3.0 c r,3.0 c a. E at 1.0 c left of q E 1 + E + E 3 r 1 r 1, 1.0 c 3.0 c 1.0 c.0 c r 1.0 c r 3 r,3 + 1.0 c.0 c + 1.0 c 3.0 c E 1 k Cq1 r 1 E k Cq r (8.99 10 9 N /C )(6.0 10 6 C) (0.00 ) (8.99 10 9 N /C )(1.5 10 6 C) (0.010 ) 1.3 10 8 N/C 1.3 10 8 N/C E 3 k Cq3 (8.99 10 9 N /C )(.0 10 6 C) r.0 10 7 N/C 3 (0.030 ) E tot (1.3 10 8 N/C) (1.3 10 8 N/C) + (.0 10 7 N/C) E tot.0 10 7 N/C along the positive x-axis q 4.0 C b. F q 4 E (.0 10 6 C)(.0 10 7 N/C) 4.0 10 1 N 44. q 1 5.0 nc q 6.0 nc q 3 3.0 nc r 1, 0.30 r 1,3 0.10 a. F 1, k Cq1q ( r 1,) F 1, 3.0 10 6 N F 1,3 k Cq1q3 ( r 1,3) F 1,3 1.3 10 5 N F 1,tot (F 1, ) + ( F 1, 3 ) F 1,tot (8.99 10 9 N /C )(5.0 10 9 C)(6.0 10 9 C) (0.30 ) (8.99 10 9 N /C )(5.0 10 9 C)(3.0 10 9 C) (0.10 ) (3.0 1 0 (9.0 1 0 1 N ) + ( 1. 7 1 0 10 N ) 6 N ) + ( 1. 3 1 0 5 N ) 1. 8 1 0 10 N 1.3 10 5 N 45. q 1 (6.0 10 3 )(e) q (6.0 10 3 )(e) r ()(6.38 10 6 ) e 1.60 10 19 C 47. 1 7.36 10 kg 5.98 10 4 kg q tan 1 13 3. 0 77 F 1,tot 1.3 10 5 N, 77 below the negative x-axis F b. E 1 5. 3 10 N q 1 5. 0 10 9.6 10 3 N/C, 77 below the negative x-axis C F k C q 1q r F 5.1 10 5 N F g F electric G1 r k Cq r q G k 1 C (8.99 10 9 N /C )[(6.0 10 3 )(1.60 10 19 C)] [()(6.38 10 6 )] (6.673 10 11 N /kg )(7.36 10 kg)(5.98 10 4 kg) 8.99 10 9 N /C q 5.7 10 13 C Ch. 17 10 Holt Physics Solution Manual

48. 1 0.0 g q 5.0 L 30.0 c ΣF y 0 N, so F g F T,y F T (cos 5.0 ) ΣF x 0 N, so F electric F T,x F T (sin 5.0 ) F el ec tric FT( sin 5. 0 ) tan 5.0 Fg F T ( cos 5. 0 ) r tan 5.0 g r ()(0.300 )(sin 5.0 ) q r g( a n 5.0 ) t kc [()(0.300 )(sin 5.0 )] q (0.0 10 3 kg)(9.81 /s )(tan 5.0 ) 8.99 10 9 N /C q 7. 10 9 C 49. e 9.109 10 31 kg p 1.673 10 7 kg a. F Eq g E e eg q E e b. E p pg q (9.109 10 31 kg)(9.81 /s ) 1.60 10 19 C 5.58 10 11 N/C, downward (1.673 10 7 kg)(9.81 /s ) 1.60 10 19 C E p 1.03 10 7 N/C upward 5.58 10 11 N/C 1.03 10 7 N/C 50. q 1 3.0 nc q 6.0 nc q 3 5.0 nc r 1,3 r,4 0.60 r,3 r 1,4 0.0 1 (8.99 10 9 N /C )(3.0 10 9 C) E 1 ( r1,4) 670 N/C (0.0 ) (8.99 10 9 N /C )(6.0 10 9 C) E ( r,4) 150 N/C (0.60 ) r 3,4 (0. 0 ) + ( 0. 60 ) 0. 04 0 + 0.3 6 r 3,4 0. 40 0.63 3 (8.99 10 9 N /C )(5.0 10 9 C) E 3 ( r3,4) 110 N/C (0.63 ) q tan 1 0. 0 0. 60 18 E x (150 N/C) (110 N/C)(cos 18 ) 150 N/C (1.0 10 N/C) E x 50 N/C E y (670 N/C) + (110 N/C)(sin 18 ) 670 N/C + 34 N/C E y 7.0 10 N/C E tot (E x ) + ( E y ) ( 50 N /C ) + ( 7. 0 1 0 N /C ) (6. 1 0 4 N C / ) + ( 4. 9 1 0 5 N C / ) E tot j tan 1 7. 0. 5 (7.0 10 1 ) 5. 5 1 0 5 N C / 7.4 10 N/C E tot 7.4 10 N/C, (7.0 10 1 ) above the negative x-axis Section One Pupil s Edition Ch. 17 11

51. E 50 N/C t 48 ns a F qe v i 0 /s e 9.109 10 31 kg p 1.673 10 7 kg v f a t q E t For the electron, v f,e q E t (1.60 10 19 C)(50 N/C)(48 10 9 s) e 9.109 10 31 kg 4.4 10 6 /s For the proton, v f,p q E t (1.60 10 19 C)(50 N/C)(48 10 9 s) p 1.673 10 7 kg.4 10 3 /s 5. q.0 10 4 C r 1.0 a. Because the doe is a closed conducting surface, E 0.0 N/C inside the doe. b. E k Cq (8.99 10 9 N /C )(.0 10 4 C) r (1.0 ) 1.8 10 6 N/C c. E ( 4r) (8.99 10 9 N /C )(.0 10 4 C) (4.0 ) 1.1 10 5 N/C 53. E 3.0 10 6 N/C r.0 q E r kc (3.0 10 6 N/C)(.0 ) (8.99 10 9 N /C ) 1.3 10 3 C 54. E 3.0 10 4 N/C p 1.673 10 7 kg 55. E 3.4 10 5 N/C 56. q 5.0 C r.0 a. F qe (1.60 10 19 C)(3.0 10 4 N/C) F 4.8 10 15 N b. a.9 10 1 /s p 1.673 10 7 kg 4.8 10 15 N F qe (1.60 10 19 C)(3.4 10 5 N/C) 5.4 10 14 N E 1 E E 3 k Cq (8.99 10 9 N /C )(5.0 10 6 C) r 1.1 10 4 N/C (.0 ) E x (1.1 10 4 N/C)(sin 60 ) (1.1 10 4 N)(sin 60 ) 0.0 N/C E y (1.1 10 4 N/C) (1.1 10 4 N/C)(cos 60 ) (1.1 10 4 N/C)(cos 60 ) E y (1.1 10 4 N/C) (5.5 10 3 N/C) (5.5 10 3 N/C) 0.0 N/C E tot (0.0 N /C ) + ( 0. 0 N /C ) 0.0 N/C Ch. 17 1 Holt Physics Solution Manual

57. q 4 C E 610 N/C 58. E 640 N/C v i 0 /s v f 1.0 10 6 /s p 1.673 10 7 kg F electric F g qe g q (4 10 1.5 10 ge 6 C)(610 N/C) 3 kg 9.81 /s F qe (1.60 10 19 C)(640 N/C) a. a 6.1 10 10 /s p p 1.673 10 7 kg b. t v f 1.0 10 6 /s a 6.1 10 10 /s.0 10 5 s c. x 1 a t (0.5)(6.1 10 10 /s )(.0 10 5 s) x 1 d. KE f 1 p v f (0.5)(1.673 10 7 kg)(1.0 10 6 /s) KE f 1.0 10 15 J 59. 0.10 kg L 30.0 c q 45 ΣF x 0 N F electric F T,x F T,x F electric F T (sin 45 ) ΣF y 0 N F T,y F g F T,y F g F T (cos 45 ) F el ec tric FT( sin 45 ) tan 45 Fg F T ( cos 45 ) F electric (L sin q) + (L sin q) 4k Cq + 5 4L ( sin q) 4L ( sinq) F g g 60..0 g L 0.0 c E 1.0 10 4 N/C q 15 F el ec tric 5 Fg 4L ( sin tan 45 q)g 5k C q 4L (sin q)g(tan 45 ) q 4L (sin q)g(tan 45 ) L(sin q) g (t a n 5 k C 45 ) (0.10 kg)(9.81 /s q ()(0.300 )(sin 45 ) )(tan 45 ) (5)(8.99 10 9 N /C ) q.0 10 6 C 5kC b. F T, y F g g FT,y g F T co s 15 co s15 qe F T,x F T (sin 15 ) g ( sin 15 ) g(tan 15 ) cos 15 q g(ta n15 ) E (.0 10 3 kg)(9.81 /s )(tan 15 ) 1.0 10 4 N/C 5.3 10 7 C Section One Pupil s Edition Ch. 17 13

Givens 61. +y Because each charge is the sae size and all are the sae distance fro the center, q E 1 E E 3 E 4 E 5 k Cq r q E E 3 E 1,y 0 N/C 36 7 7 q E 5,y E,y E(sin 7 ) 36 7 E 1 +x 7 E 4,y E 3,y E(sin 36 ) E 4 q E 5 E y E 1,y + E,y + E 3,y + E 4,y + E 5,y E y 0 N/C + E(sin 7 ) + E(sin 36 ) E(sin 36 ) E(sin 7 ) 0 N/C q E 1,x E E,x E 5,x E(cos 7 ) E 3,x E 4,x E(cos 36 ) E x E 1,x + E,x + E 3,x + E 4,x + E 5,x E x E + E(cos 7 ) E(cos 36 ) E(cos 36 ) + E(cos 7 ) E x E + E(cos 7 ) E(cos 36 ) E(1 + 0.6 1.6) E x 0 N/C E (E x ) + ( E y ) (0 N /C ) + ( 0 N /C ) 0 N/C 6. E 3.0 10 6 N/C e 9.109 10 31 kg v i 0 /s v f (0.100)(3.00 10 8 /s) p 1.673 10 7 kg F qe (1.60 10 19 C)(3.0 10 6 N/C) a. a 5.3 10 17 /s e e 9.109 10 31 kg b. v f a x x v f [(0.100)(3.00 10 8 /s)] 8.5 10 4 a ()(5.3 10 17 /s ) F qe (1.60 10 19 C)(3.0 10 6 N/C) c. a.9 10 14 /s p p 1.673 10 7 kg 63. r 1.17 q 1 1.60 10 19 C q 1.60 10 19 C r (0.0100)(.17 ) 64. E 370.0 N/C t 1.00 s e 9.109 10 31 kg p 1.673 10 7 kg F electric F elastic k Cq1q r kr 1 k k Cq1q (8.99 10 9 N /C )(1.60 10 19 C) r 1 r (.17 10 6 ) 3 (0.0100) k.5 10 9 N/ F qe (1.60 10 19 C)(370.0 N/C) a e 6.50 10 13 /s e e 9.109 10 31 kg x e 1 a e t (0.5)(6.50 10 13 /s )(1.00 10 6 s) 3.5 F qe (1.60 10 19 C)(370.0 N/C) a p 3.54 10 10 /s p p 1.673 10 7 kg x p 1 a p t (0.5)(3.54 10 10 /s )(1.00 10 6 s) x p 1.77 10 x tot x e + x p 3.5 + (1.77 10 ) 3.5 Ch. 17 14 Holt Physics Solution Manual

65. E 300.0 N/C e 9.109 10 31 kg t 1.00 10 8 s F qe (1.60 10 19 C)(300.0 N/C) a. a 5.7 10 13 /s e e 9.109 10 31 kg b. v f a t (5.7 10 13 /s )(1.00 10 8 s) 5.7 10 5 /s 66. E.0 10 3 N/C along the positive x-axis a. F qe (1.60 10 19 C)(.0 10 3 N/C) 3. 10 16 N F 3. 10 16 N, along the positive x-axis p 1.673 10 7 kg 16 F 3. 10 N b. a p 1. 673 10 7 kg 1.9 10 11 /s v f 1.00 10 6 /s 67. v f,1 (0.010)(3.00 10 8 /s) x 1.0 e 9.109 10 31 kg c. t v f 1.00 10 6 /s 5.3 10 6 s a 1.9 10 11 /s vf,1 a. a x1 E ea evf,1 q x1q E (9.109 10 31 kg)[(0.010)(3.00 10 8 /s)] ()(.0 10 3 )(1.60 10 19 C) E 1.3 10 4 N/C x 4.0 vf,1 [(0.010)(3.00 10 8 /s)] b. a. 10 15 /s x1 ()(.0 10 3 ) 68. KE 3.5 10 15 J x 1.5 v f 0 /s p 1.673 10 7 kg v f, a x v f, KE 1 p v i v i K E p a v f v i x a x F qe p a E pa ( p ( vf v q () i ) q) ( x) E ( )(. 1 0 15 /s (4.0 ) 1 0 3 ) 4. 10 6 /s p v f p K p E (q)( x) (1.673 10 7 kg)(0 /s) ()(3.5 10 15 J) (1.60 10 19 C)()(1.5 ) E 1.6 10 4 N/C opposite the proton s velocity pvf KE (q)( x) 1.6 10 4 N/C Section One Pupil s Edition Ch. 17 15

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