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6

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 . .

)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 . .

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 /.

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 .

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 . ?

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 /

 



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