1. , = 2 + 4t, y = 2t2 (). t1 = 1 t2 = 3 , , t1 = 1 .
Dr = 19,7 , v = 5,66 /, .
2. , = 2 /, = 0,5 /2. t1 = 1 c t2 = 3 c.
= 0,5 /
3. R = 2 s = t3, = 2 /3. t n t? .
t = 0,872 ; a = 14,8 /2
4. m = 2 F , = 1 /2, D = 0,2 /3. t1 = 2 c t2 = 5 c. ?
F1 = 0,8H; F2 = 8H; F = 0 t = 1,67c
5. , v = 3 /, , a = 60 . k = 5 . . m, = 99 m.
6. m1 = 10 , v1 = 4 /, m2 = 4 , v2 = 12 /. , , u : ) , ; ) .
) u = 6,3 /; ) u = 0,57 /
7. m = 10 , v = 600 /, = 5 e. h, , ?
= 7,31
8. m1 = 200 , v1 = 10 /, m2 = 800 . , . u1 u2 ?
u1 = 6 /, u2 = 4 /
9. m = 2 , X , = 2 /, = 1 /2, D = 0,2 /3. N, t1 = 2 t2 = 5 .
N1= 0,32 ; N2 = 56
10. w , m1 = 2×1022 , m2 = 6×1022 , .
11. L 3m m 2m. J , , . ), ), ), ), ), . L = 1 , m = 0,1 . .
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)J = 3mL2 = 0,3 ×2, ) 0,133 ×2,
)J = mL2 = = 0,1×2, )J = mL2 = 0,1 ×2, ) 0,113 ×2
12. R = 5 . , m = 0,4 . , S = 1,8 t = 3 . J . . .
×2
13. , ? : m1 = 0,2 m2 = 0,1 , = 0,15 , m = 0,2. .
14. m1 = 0,2 L = 1 , = 0,3 . , v = 10 / . m2 = 10 . w .
15. m = 0,4 , v = 20 /. r = 0,8 . w , , J = 6 ×2?
/
16. R = 1 n1 = 6 1. , m = 80 . n2 , ? J = 120 ×2. .
1
17. m = 4 . v = 1 /. .
= = 3
18. , , . ? .
,
19. L = 1 , . . .
20. L = 15 c, , . w v : ) , ) ? .
)w = 14 /, v = 1,05 /; )w = 14 /, v = 2,1 /
21. , , vmax = 10 /, max = 100 /2. w , 0 . , .
w = 10 1, 0 = 0,628 , = 1 , = cos10t ()
22. , , 1 = 5 . , 2 = 6 . .
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23. L = 30 . , , d = 10 . L . .
c,
24. R = 30 , . ?
25. d = 0,003. , , .
26. L = 1 t = 10 . d.
27. , 0 = 1 d = 0,628.
28. . .
d = 0,95
29. : , x , t , y . : ) ; ) .
)vmax = 340 /
30. , f = 0,5 = 0,25 , . l = 70 . : ) v ; ) .
)v = 350 /, ) =0,79 /
31. V = 30 = 300 = 828 . m = 24 . m1 m2 . : m = 2×103 /, m = 4×103 /.
;
32. , m = 10 . D = 50 S = 100 2 h = 7 . , 0 = 105 . m = 32×103 /.
33. m m (a ). , V0 h = 5 .
34. V = 20 = 300 = 0,4 . 1 1, Q = 6 ?
1 = 390 , 1 = 520
35. , = 4 . , ) ; ) ?
) Q = 14; ) Q = 4
36. m = 200 = 280 , . : ) DU ; ) ; ) Q, . m = 28×103 /.
) DU = 0; ) = 11,6 ; ) Q = 11,6
37. m = 1 , = 100 . , 1 = 300 ? m = 32×103 /.
2 = 454
38. 1 = 320 DU = 8,4 , n = 10 . m . m = 32×103 /.
39. m = 1 . DS . m = 2×103 /.
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DS = 7,2 /
40. DS m = 4 V1 = 5 V2 = 9 . m = 28×103 /.
DS = 2,43 /
41. R1 = 6 R2 = 10 Q1 = 1 Q2 = 0,5 . , r1 = 5 c, r2 = 9 , r3 = 15 .
42. t = 10 /. F, Q = 10 , = 20 , ?
43. R = 1 s = 2 /2. , Q = 25 , r = 10 .
44. , s1 = 2 /2 s2 = 5 /2. : ) ; ) .
45. , s = 20 /2, t = 0,4 /. F, L = 1 .
46. R = 10 t = 10 /. j , , = 5 .
47. d = 0,5 . s1 = 0,2 /2 s2 = 0,3 /2. u .
48. t = 0,01 /. Dj , r1 = 2 r2 = 4 .
49. 12 Q = 50 1 2 , , = 1 = 0,1 .
50. R = 10 . t = 300 /. , Q = 5 , L = 20 ?
51. r = 5 . i = 10 . , r1 = 2 r2 = 3 .
= 132 /
52. . i1 = 80 i2 = 60 . d = 10 . , .
53. R = 3 i = 2 . .
,
54. i = 50 ( ) R = 10 . , , - , .
55. j = 2 /2. R = 5 , , a = 30 .
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56. , , N = 200 , i = 5 . d1 = 20 , d2 = 30 .
,
57. R1 = 5 R2 = 10 , j = 10 /2. , r = 8 .
58. = 0,5 a = 30 . Dt = 0,5 , . E = 0,8 . .
.
59. , , , .
1/2 = 3,81
60. S = 200 2 n = 10 1/ , ( = 0,2 ). , , , ?
61. l = 480 . n = 1,46, m = 69 . d .
62. (n = 1,55) . a = 2¢. l, b = 0,3 .
541
63. . d , (l = 0,6 ) .
d = 0,15
64. . (l = 700 ) r8 = 2 . .
65. , l = 0,65 j = 30? ?
n = 154 /, k = 21
66. d = 20 (l1 = 589,0 l2 = 589,6 ) . L ?
67. Dj j = 30 l = 600 .
68. a = 57. . = 3108 /.
v = 194 /
69. k = 2 , . j . .
j = 45
70. , , j = 30, = 10% ?
71. N = 1 . = 1200 S = 25 2. , , , .
72. R = 10 N = 1 . , = 0,25.
73. , , , S = 1 2 , , r = 1,5×1011 . = 5800 , R = 7×108 .
74. (Ml,)max c l1 = 2,4 l2 = 0,8 . ?
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81
75. , , 16 ?
2
76. S = 50 2, n = 1013 1/3. , 100 . = 1,61019 , = 3108 /.
77. , l = 4,5×107 ? = 4,5 .
78. , l0 = 307 max = 1 ?
79. u = 0,8 . l l0, . = 6,3 . || = 1,6×1019 .
80. . u1 = 4,31 . , ? 1 = 2,39 , 2 = 4,5 .
u2 = 2,2 .
81. l , Dj = 30 . m = 9,1×1031 , || = 1,6×1019 .
82. r = 0,5 = 8 . . || = 1,6×1019 .
83. , ? m = 9,1×1031 , m = 1,67×1027 .
k = 43
84. D , , Dv 10% . m = 9,1×1031 , || = 1,6×1019 .
, d = 0,106
85. = 15 d = 1 . Dv, . m = 9,1×1031 .
86. = 2,0 . , , L = 50 , D l = 0,36 . m = 9,1×1031 .
87. f . L Lz .
88. L , 2 . m = 9,1×1031 , || = 1,6×1019 .
E=3,4 , ×
89. n = 3. N , : ) mS = 1/2, ) m = 2, ) mS = 1/2 m = 0, ) mS = 1/2 l = 2.
) N = 9, ) N = 2, ) N = 3, ) N = 5
90. N , : ) L , 3s 3 ; ) , L 4s, 4p,4d .
) N = 15, ) N = 46
91. ? .
q = 1,47×1017 , m = 3,85×1025
92. . m = 12,01115 ..., m = 1,00783 ..., mn = 1,00867 ...
e = 1,1×1012
93. 8, Dm = 0,14154 ... m = 16,99913 ..., = 1,00783 ..., mn = 1,00867 ...
N = 9
94. 3Li6 , 3Li7 - , .
3Li7
95. (b+ ). ?
96. . ?
9
97. t = 8 k = 3/4 . 1/2.
= 4
98. k = 256 . 1/2 t?
t = 8 1/2
99. t, 90Sr k = 10 . 1/2 = 28 .
t = 93
100. 32 m = 1 . 1/2 = 14,3 .
= 10,5×1012 /