2.1.1. m = 1 , , y = at 2 bt 3, = 2 /2,
b = 1 /3. F, .
: F = m (2 a 6 bt) = -8 .
2.1.2. y m = 2 : = 1 1 t + C 1 t 2, y = A 2 +
+ D 2 t 3, 1 = 2 /2, D 2 = 2 /3. F, .
: ; F = 120 .
2.1.3. 2
= A cosw t, = 2 , w = 2p /.
t = 0,5 , .
: = 0,8 /2; F = 1,6 .
2.1.4. m = 0,5 , , = + t Ct 2 + Dt 3, B = 1 /,
= 5 /2 D = 5 /3. t = 10 .
: = 2200 (×)/; F = 145 .
2.1.5. m = 2 , y z . y (t)
= 1 t + C 1 t 2, z (t) z = 2 t - C 2 t 2, 1 = 2 /; 1 = 4 /2; 2 = 1 /; 2 = 2 /2; ( = const). .
: = 49 (×)/.
2.1.6. , ,
s = 400 , t = 40 . m .
: m = 2 s /(gt 2) = 0,05.
2.1.7.
m = 100 s = 200 t = 40 . .
: .
2.1.8. , v = 54 /, s = 100 . m .
: .
2.1.9. m = 150 v = 72 /. s = 500 . F .
: .
2.1.10. v = 30 / t = 50 . F m, m = 500 .
: ; .
2.1.11. m = 3 a = 60 v0 = 20 /. , 0= m v0.
: D = m v0×sina 52 (×)/.
2.1.12. m = 2 , , , , .. s = 2,5×2p R. , . , R = 1
D t = 6 .
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: N = 3; D = 2 1; .
2.1.13. m = 400 v0 = 20 /, b = 60 . D p , .
: D =2 m v0×sinb = 13,8 (×)/; = -13,8 (×)/.
2.1.14. m = 4 h = 45 .
D , F ×D t, . ( , g = 10 /2).
: ; F ×D t = D = 120 (×)/.
2.1.15. m = 200 h = 5 . , , , , D t = 0,1 (g = 10 /2).
: ; F = 40 .
2.1.15. = 5 v
2.1.16. m = 3 . D m = 0,3 , v = 900 /. , .
: .
2.1.17. v = 850 /, D m /D t = 0,25 /. .
: .
2.1.18. m = 3 ,
d = 15 , ( ). , , ? (
r = 1,32 /3).
: .
2.1.19. , d = 14 , . v = 10 /. , (, ;
r = 1,32 /3).
: .
2.1.20. 1,5 , , = 1,5 g. , , D m /D t = 25 /.
: .
2.1.21. = 10 m = 5 (. 2.26). a , ? .
: a ³ g (M - m)/(2 m) = 4,9 /2.
2.1.22. m = 1,5 , , v = 5 / ( ). F = 103 . , F (F = k ×v, k = 100 /), , .
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: .
2.1.23. m = 20 v0 = 700 / v = 100 / D t = 1 . , k ( ).
: .
2.1.24. m = 20 v0 = 700 /.
, , ( k = 0,2 /c).
: .
2.1.25. m = 20 .
, , , D t . (
k = 10 /).
: .
2.2.1. , , s 1 = 0,4 . m = 0,2 , s 2 = 0,2 . m 0 , ?
: .
2.2.2. , a = 45. s = 0,355 , v = 2 /c. m (g 10 /2).
: .
, , ( ). h. T () .
: .
2.2.4. v = 1200 /. , k ( ) , R = 1 .
: .
2.2.5. , n = 1 /, R = 10 . a ?
: .
2.2.6. n = 1200 /. F F = mg, , R = 0,3 .
: .
2.2.7. m = 2 n = 2 /. , , F = 320 . , ? , l = 1 .
: , F max > F ;
, F min < F .
2.2.8. R = 500 . d = 152,4 .
h = 12 . v .
: .