( )
F dt = d (m υ).
m , , , m F.
s
,
Fs , ds . s. , α , A = Fs cos α, α F s.
.
,
, t.
N=Fυcosα,
.. .
m, υ,
.
.
, ..
m 1 1+ m 2 2+ + mn n =const.
m 1 m 2
,
υ1 υ2 .
, ,
;
.
, , : .
. m, R .
, x, , ..
F = kx,
k (, , , ).
.
2. 1. m = 2 s = ABt + C t 2 Dt 3 (C = 2 /2, D = 0,4 /3). , .
2. 2. m = 500 . , : 1) 2 /2; 2) 2 /2.
2. 3. (m 1 = 500 m 2 = 700 ) . m 1 F = 6 H. , : 1) ; 2)
2. 4. m x = A cosω t, y = B sinω t, A, ω . , .
2. 5. m = 2 = 5 /2. .
2. 6. , 1 = 2 h = 1 , . f = 0,15. : 1) , ; 2) ; 3) .
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2. 7. α , 30, . , f = 0,15.
2. 8. m = 5 , , υ = 300 /. , m 1 = 3 υ1=100 /. υ2 , , .
2. 9. , υ = 10 /, . , 0,6 , , u 1 = 25 /. u 2 .
2. 10. = 150 1 = 2,8 . m = 90 . , , s .
2. 11. , υo, ℓ ( ). . , , ( ) .
2. 12. = 2 . m = 8 . , , , υ = 450 /, α = 30 .
2. 13. m 1 = 5 m 2 = 100 . W 2 = 7,5 . W 1 ?
2. 14. , υo = 3 /, . = 10 . . m = 10 α = 60 . ( ), n = 2 .
2. 15. , , , , . m 1 = 5 , m 2 = 0,5 . υ1 = 500 /. l ?
2. 16. m = 4,5 , u = 6 / μ = 25 / . , : 1) t = 3 ; 2) .
2. 17. , = 2 , . u = 150 /, μ = 0,2 /. , a t = 3 c . .
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2. 18. , M = 300 , u = 200 /. μ = 100 /. , : 1) υ1 = 50 /; 2) υ2, , m o= 0,2 .
2. 19. m = 20 , h 1 = 1 , h 2 = 81 . F Δ t, , Q, .
2. 20. , l = 50 , . ν , , , , ?
2. 21. n = 30 /. r = 20 . k , ?
2. 22. m = 150 , T = 2,94 . α , ?
2. 23. υ1, .. , , .
2. 24. m = 5 = 2 /2. .
2. 25. m = 1,8 , 3 100 . : 1) , 5 , 0,1; 2) , , 5 .
2. 26. , m = 50 α = 30 s = 4 , t = 2 , f = 0,06.
2. 27. h α . f, s, , .
2. 28. m = 600 α = 0,3 t = 1 υ = 18 /. f = 0,01. < N > .
2. 29. m = 1,8 υ = 54 / ( α = 3). , , .
2. 30. m = 1 s = A B + C t 2 Dt 3 ( = 3 /, = 5 /2, D = l /3). N, t = 1 .
2. 31. m F, F = 2 mg (l Ay) ( ), mg. : 1) ; 2) F . .
2. 32. m F = 2 ti + 3 t 2 j, i j . N (t), 1.
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2. 33. m = 5 h = 20 . , h 1 = 5 . . .
2. 34. , , =100 -/ =500. : ; 2) .
2. 35. H =20 υo = 10 / m = 400 . , t = 1 : 1) ; 2) .
2. 36. m = 2000 t = 6 c, S = 30. : 1) ; 2) .
2. 37. m = 20 R = 10 . 6,3 . .
2. 38. m =5 α=60 , 500 . , : 1) ; 2) .
2. 39. m = 0,5 υo = 10 / α=30 . , , : 1) t = 0,4 ; 2) .
2. 40. k 1 k 2, . , .
2. 41. m = 0,4 h = 10 1 = 1 . f =0,04. : 1) ; 2) , .
2. 42. υo= 20 /. , , h .
2. 43. m = 70 F = 63 H. , s n =3 , υo=1,5/.
2. 44. m = 200 α = 45. .
2. 45. α = 45 υo = 15 /. , υ .
2. 46. , h, , R = 6 , .
2. 47. h =12 . , , , = 15 .
2. 48. R = 1,2 . h ( ), .
2. 49. m = 15 , υ = 200 /, l =1 = 1,5 . φ .
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2. 50. m = 12 , υ = 0,6 /, = 10 , , . : 1) , , ; 2) , .
2. 51. r ( = 6 2, =0, ). , r : 1) ; 2) , .
2. 52. m 1 m 2, 2 . : 1) ; 2) Ғ2 , t 1 800 .
2. 53. , , υ1, , n . .
2. 54. m 1 = 3 υ1 = 2 / . , , .
2. 55. m 1 = 9 m 2 = 12 l = 1,5 . , α=30 . , h, .
2. 56. m 1 = 3 m 2 = 2 1 = 1 . , α =60 . , .
2. 57. m 1= 200 m 2 =400 l = 67,5 . , α = 60 . , h .
2. 58. . , , π/2.