1-30 , , .
31-60 , , .
61-90 , , .
1. m = 500 v0 = 90 /. . , R = 20 t 3 (), , .
2. 50 , Ox, F (t) = 5 t 2 (). , . 0.5 . , , . , .
3. f = 0.1, 45, 100 . , . .
4. 9.81 . 72 /. : F = 180 t (). 10 , , f = 0.1.
5. . f = 0.05. , 50 ? ? .
6. v0 = 880 / , v1 = 720 / h = 400 . ? .
7. , α = 30 . v0 = 15 /. f = 0.1. ? ?
8. m = 5 , F 0 = 10 () (1/ ). v0 = 10 /. , t = 2 c.
9. , , , : F = 1.2 t (). , 10000 , . 0.02 .
10. 49 , , 100 . , 20 /, R =10 t (). 6 ? , ?
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11. m = 2000 v0 = 80 /. . , R = 20 t 2 (), , .
12. 100 , Ox, F = 10 t 3 () , 0.5 . , , . , .
13. 10 v0 = 60 /. . , R = 20 t 2 (), , 2 , .
14. v0 , v1 = 800 / h = 500 300 . ? .
15. m = 3000 60 / . : F = 200 t (). , 2 , , , f = 0.2.
16. m = 2 (). v0 = 20 /. , t = 4 c.
17. , , , F = 0.8 t 2 (). : 8000 , 0.05 , .
18. F = 2.5 t (), 5000 . , .
19. 49 100 . , 10 /, F =10 t (). 10 ? , 5 ?
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20. m = 5000 v0 = 90 /. . , R = 30 t 2 (), , 3 , .
21. , = 30 . v0 = 25 /. f = 0.2. ?
22. v0 = 800 / , v1 = 700 / h = 500 . ? .
23. . , 60 ? , f = 0.1? .
24. m = 500 v0 =20 /. R = 20 t 2 (). , .
25. 9.81 60 / . : F = 200 t (). 5 , , f = 0.2.
26. m = 4 (). v0 = 20 /. t = 3 c.
27. F = 2.5 t 2 (), 10000 . , .
28. , = 45 . v0 = 25 /. f = 0.1. ? ?
29. 250 , , F = 25 t () , 0.25 . , , .
30. 20 v0 = 60 /. . , R = 20 t 2 (), , 3 , .
31. m = 10 , F = 1000 x (H). v0 = 10 / x 0 = 1 . , 3 , , .
32. m = 1 F = 100(x - 2) (H). v0 = 5 / x 0 = 2.5 . t = 3 c.
33. m = 1 F = -100 e 2 x (H). v0 = 10 / x 0 = 0. , , 5 , , .
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34. m = 5 F = 10(x + 2)3 (H). v0 = 4 / x 0 = 0. , , 2 , , .
35. m = 0.5 . v0 = 10 / x 0 = 0. F = -100(x + 1)-3 (H). , , 2 , , .
36. m = 0.5 F = 6(x + 0.5)5 (H). v0 = 0.25 / x 0 = 0. , , 4 , , .
37. m = 2 . v0 = 10 / . F = 400(x + 1)-5 (H). , , 5 , , .
38. m = 2 F = 75(x + 1)2 (H). v0 = 5 / x 0 = 0. , , 4 , .
39. m = 2 F = 25(x + 1)-2 (H). v0 = 5 / x 0 = 0. , , 10 , , .
40. m = 200 F = 2 e 2 x (H). v0 = 0.1 / x 0 = 0. , , 2 , , .
41. m = 1 F = 400(x + 1) (H). v0 = 20 / x 0 = 0. , , 2 , , .
42. m = 2 v0 = 0 x 0 = 1 . F = 800(x - 1) (H). t = 2 c.
43. m = 10 v0 = 1 / x 0 = 0. F = -10 e- 2 x (H). , , 2 , , .
44. m = 4 F = 200(x +1)3 (H). v0 = 5 / x 0 = 0. , , 3 , , .
45. m = 1 v0 = 5 / x 0 = 0. F = -100(x + 2)-3 (H). , , 5 , , .
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46. m = 2 F = 0.24(x + 1)5 (H). v0 = 0.2 / x 0 = 0. , , 5 , , .
47. m = 1 x F = -50(x + 1)-5 (H). v0 = 5 / x 0 = 0. , , 5 , , .
48. m = 0.1 x F = 15(x + 0.5)2 (H). v0 = 10 / x 0 = 0.5 . , , 2 , , .
49. m = 1 x F = -18(x + 4)-2 (H). v0 = 3 / x 0 = 0. , , 3 , , .
50. m = 25 x F = e 8 x (H). v0 = 0.1 / x 0 = 0. , , 10 , , .
51. m = 2 x F = 200(x + 2) (H). v0 = 20 / x 0 = 0. , , 5 , .
52. m = 1 x F = 25(x + 2) (H). v0 = 5 / x 0 = -3 . t = 2 c.
53. m = 2 F = -32 e -8 x (H). v0 = 2 / x 0 = 0. , , 2 , , .
54. m = 0.5 F = 100(x + 0.2)3 (H). v0 = 0.4 / x 0 = 0. , , 5 , , .
55. m = 10 F = -250 x -3 (H). v0 = 5 / x 0 = 1 . , , 5 , , .
56. m = 0.25 F = 0.48(x + 0.5)5 (H). v0 = 0.1 / x 0 = 0. , , 5 , .
57. m = 0.1 F = -5(x + 0.5)-5 (H). v0 = 5 / x 0 = 0.5 . , , 5 , , .
58. m = 2 F = 3(x + 4)2 (H). v0 = 8 / x 0 = 0. , , 2.5 , , .
59. m = 0.5 F = -(x + 3)-2 (H). v0 = 1 / x 0 = 1 . , , 2 , , .
60. m = 2.5 , F = 0.1 e 2 x (H). v0 = 0.2 / x 0 = 0. , , 5 , , .
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61. m = 5 , v0 = 40 /, . , F = 50 (v)1/3 (). , , , .
62. m = 5000 1.5 . R = 300v(), v . v0 = 0, .
63. m = 15000 v0 = 50 /. , 10 , R = 20v2 ().
64. m = 2 , , F = 50 (). , R = v, = 5 () /. , .
65. 2000 1.5 /. , R = 50v(), v , /. , 3 , , .
66. , 8 360 /, . , = 0.075 ( 2) / 2, , , 2 , , .
67. Q = 5 , R = 10v (). , , 2000 .
68. , 1.47 , . , 2 /. , , 4 , R = 40v ().
69. 0.05 10 /. , 0.01 v = 1 /, , , .
70. 5 v0 = 144 /. R = 2v2 (). 10 ?
71. 80 R = 20v (). , , , 0.99 , , .
72. m = 4 , v0 = 50 /, . R = 60v1/2 (). , , , .
73. m = 4000 2 . R = 200v(), v . .
74. m = 25000 v0 = 50 /. , , 5 , R = 10v2 ().
75. m = 4 , , F = 100 () , = 10 () /. , , 2 /. , .
76. 2500 2 /. , R = 40v(),v , /. , 100 , , .
77. , 9.81 300 /, . , = 0.05 ( 2) / 2, , , 5 , , .
78. Q = 4 , R = 50v (). , , , 2500 .
79. 2 2.5 /. , , 5 , R = 5v2 ().
80. 0.1 10 /. , R = 0.05v (), , , . , ?
81. 4 v0 = 120 /. R = 4v2 (). , 10 ?
82. 100 . , R = 40v (), , , , 0.8 , , .
83. m = 5 , v0 = 100 /, . R = 50 v1/2 (). , , , .
84. m = 3000 3 . R = 100v(), v . v0 = 0, .
85. m = 250 . R = 8v2 (), , 10 , 100 /.
86. m = 10 , v0 = 100 /, . R = 90v1/3 (). , , .
87. m = 10000 v0 = 150 /. , 10 , R = 10v2 ().
88. m = 10 , , F = 250 () R = 10v (). , . .
89. 1000 2.5 /. , R = 50v(), v , /. , 3 , , .
90. , 10 400 /, . , = 0.1 ( 2) / 2, , , 4 , , .
91. 1 5 , 25 . ; .
92. , , 30 11 ? 16 . , 0,05 .
93. 20 , 0,3 /2. 54 /. 1) ? 2) ? 3) ?
94. 0,5 , s t s=Asinωt, =5 ω=π /. , 1/6 .
95. , , 0,5 /2. 12 . 0,01. : 1) , 2) , 3) , 4) , .
96. 1 . , 0,1 . , , : 1) 1 25 , 2) .
97. 1 10 , 30 . , 0,1.
98. 15 , , 120 . , , 0,02.
99. 800 . , , , , , : 1) 12; 2) 6 .
100. 500 98 1 . ?
101. 9,8 , s t s=A-Bt+Ct2. , C=1 /2.
102. , 4. 1) ? 2) , 0,03? 3) 100 ? 4) 100 ?
103. , 15 . , x=2 .
104. 2 1 . : 1) ; 2) . .
105. , α=30 β=45 (.33). 1 . : 1) , , 2) . , .
.33
106. , μ1=μ2=0,1. .
107. , , 100 . 10 . , , .
108. , , , . 0,85 0,2 , 3 0,81 . , 2 , .
109. , 45. s t s=Ct2, =1,73 /2. .
110. 5 3 50 . , , , : 1) ? 2) ? 3) 1 /2. 0,2.
111. . m1=m2=1 (.34). 0,1. : 1) , , 2) . .
.34
112. , α=30 (.35). 1 . : 1) , , 2) . , .
.35
113. , 0,1. .