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(A) () à B A à S/2 S t 1 t 2 t ïë õ 1 õ 2 S/2 t 2 t 3 t 1 u 1 u 2 u 3 Äx 1 20 10 B A 4 2 O E = x ABO Ä t(s) u(m/s) t =; h=; t=5 õ t =0 y 1 y 2 t = 5s t= s 4 õ=; h=125m ¹ëéïò Ãç t 1 2 ÊåöÜëáéï 1 ï ÊåöÜëáéï 1 ï B A S/2 S t 1 t 2 t ïë õ 1 S/2 20 10 B A E = x ABO Ä t(s) ; t=5 õ t =0 y 1 y 2 t = 5s t= s 4 õ=; h=125m 1 âéâëéïìÜèçìá: 2 âéâëéïìÜèçìá: 3 âéâëéïìÜèçìá: 4 âéâëéïìÜèçìá: 5 âéâëéïìÜèçìá: ï ï ï ï ï ÈÝóç êáé áðüóôáóç Ôá÷ýôçôá Åõèýãñáììç ïìáëÞ êßíçóç Ç ôá÷ýôçôá ìåôáâÜëëåôáé. ÅðéôÜ÷õíóç Åëåýèåñç ðôþóç 1 âéâëéïìÜèçìá: 2 âéâëéïìÜèçìá: 3 âéâëéïìÜèçìá: 4 âéâëéïìÜèçìá: 5 âéâëéïìÜèçìá: ï ï ï ï ï ÈÝóç êáé áðüóôáóç Ôá÷ýôçôá Åõèýãñáììç ïìáëÞ êßíçóç Ç ôá÷ýôçôá ìåôáâÜëëåôáé. ÅðéôÜ÷õíóç Åëåýèåñç ðôþóç taexeiola.blogspot.com

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Σχολικό βοήθημα Φυσικής Γ΄ γυμνασίου (Θεωρία - Ασκήσεις)

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(A)( ) BAS/2Sot1t2t12S/2t2t3t1u1u2u3x12010BA42OE=xABOt(s)u(m/s)t=;h=;t=5t=0y1y2t=5st=s4=;h=125mt12 1BAS/2Sot1t2t1S/22010BAE=xABOt(s);t=5t=0y1y2t=5st=s4=;h=125m1 :2 :3 :4 :5 : . taexeiola.blogspot.com - : .: . .x

. [m]x =t

: , - . [m/s]. =t

E: , - . [m/s2]. , .... ( ): , . . =

x(m)t(s) t(s) = x = t H (m/s) . - . , :(m/s )2 (m/s) x (m)t(s) t(s) t(s) - - -. H H = = tx = t 2 : . (m/s )2 ( ) m/s x (m)t(s) t(s) t(s) - - - = g = = g tx = g t 2taexeiola.blogspot.com ; . - - . ; T - ; - . , - . : . , . ; , - . - -(A)( ) .taexeiola.blogspot.com14. - ; . . .. 100m, . - ... . - ... . - ... (- t - 2 1t t t = ); . - . - - .. ( ) - 08:15 ( ). - S.I. 1s ; - t tsec (s) sec (s) taexeiola.blogspot.com15. - - (.. ) - . t , t - - 2 1t = t t = t t -; : , - ( ). , -. .. 100 C = . l00C ( ) - , . - , , ...: - , , - , ( ). , x xx , - x Ox . - , , ... - ; (.. ) :! - - (. ) () (, ) ( =t 0 )taexeiola.blogspot.com16. - 1 : - , . : xx () . - .2 : .. , x d = . x d = + , . :. . . x x . . x xx x () . x xx. - x . . x , - , x , - . x+x xO M0 -20 +30+20m 30mA1A2To 1 1x 30 = + 2 2x 20 = (. 1 - 30m 2 - 20m)! xx - .taexeiola.blogspot.com17. - ; - :. : . : . : . :i. ii. ( ) . 2 1 x = x - x = x - x .H ( x

) ( x

) -: 2 1x x x = . ( ) : 2 1x x x x x = = 2x ,1x . ; (2 1 2 1x 0 x x 0 x x > > > ) .:. 1x 4m = 2x 2m = :( ) ( ) 2 1x x x x x 2m 4m 2m = = = = +. 1x 4m = 2x 2m = + :( ) ( ) 2 1x x x x x 2m 4m 6m = = = + = + (2 1 2 1x 0 x x 0 x x < < < ) .:. 1x 4m = + 2x 2m = + : x

x1x xO Mx2 = x = M x - x2 1ABx 0 -4 +2A1A2xtaexeiola.blogspot.com18. - ( ) ( ) 2 1x x x x x 2m 4m 2m = = = + + = . 1x 4m = + 2x 2m = :( ) ( ) 2 1x x x x x 2m 4m 6m = = = + = ; , . . Ax Bx : A Bd x x = :. Ax 8m = + Bx 5m = + . :( ) ( ) ( )A Bd x x 8m 5m 3m 3m = = + + = + =. x 6m = + x 2m = . :( ) ( ) ( ) d x x 2m 6m 8m 8m = = + = = S. - .:. ,0x 0m = , x 10m = + x 4m = + . :( ) ( ) x x x x x 4m 0m 4m = = = + = + - : d 0 -2 +4A1A2x - ! : A B B Ad x x x x = = 0 2 4 6 8 10 -2 -4xOABtaexeiola.blogspot.com19. - OA AB A O B AS d d x x x x = + = + =( ) ( ) ( ) 10m 0m 4m 10m 10m 6m 16m = + + + + = + =. , x 10m = + . :( ) ( ) O x x x x x 0m 0m 0m = = = = - :OA AO A O O AS d d x x x x = + = + =( ) ( ) ( ) 10m 0m 0m 10m 10m 10m 20m = + + + = + =. , x 10m = + x 6m = . :( ) ( ) B x x x x x 6m 0m 6m = = = = - :OA AB A O B AS d d x x x x = + = + =( ) ( ) ( ) 10m 0m 6m 10m 10m 16m 26m = + + + = + =0 2 4 6 8 10 -2 -4OAB0 2 4 6 8 10 -2 -4OAB-6 -8x S .S x - , - 1. ( ) ( ), t t t = .2. ( x x x = ). .3. .4. :. . . .taexeiola.blogspot.com20. - 1. :. . . . . . . . 2. 1x 2x ; :3. :. . . . 4. :. . . . , 5. :. . . . , 6. :. . . . 7. . :. . . . 8. 1x 8cm = . - x 10cm = , :. 2x 2cm = . 2x 2cm = . 2x 18cm = . 2x 18cm = 2x 2cm =taexeiola.blogspot.com21. - 9. 1x 2cm = + x 6cm = . :. 2x 6cm = + . 2x 8cm = +. 2x 4cm = . 10. 1x x 8cm = 2x 0cm = . :. 1x 8cm = + . 1x 16cm = . 1x 8cm = . 1x 6cm = 11. 1M 2M 1x 2cm = 2x 10cm = . :. d 8cm = . d 8cm = . d 10cm = . d 12cm =12. 1x 4cm = + x 8cm = + x 22cm = . - :. 2x 0cm = . 2x 10cm = . 2x 1cm = + . () ().13. , .14. , - .15. , .16. . :17. ............... ................... .taexeiola.blogspot.com22. - 1 : 2 ; ; ( ). 3 ; 1 1x 3m = 2x 5m = .. H ... . .. . 2 07:15 07:45. 08:05 08:15 - .. .. .. (t) (t).taexeiola.blogspot.com ; - .: (

) , ( x

) - (t) - . x t= =

, . , . ( ) . (t) . S.I. 1m/s, (m) (s). : km/h, cm/s,km/s ... -.taexeiola.blogspot.com24. - ; () ( ), - .( ) =S t= () , (, ...): - t 1, 5h = . s 120km = - :S 120km 80km/ ht 1, 5h= = = ; (

), - (x

) (t ), - (t ).! () - S.I. m/s. () . () t t.taexeiola.blogspot.com25. ( ) =2 1 2 1x x x x t t t t

= = = () - - . ; . . . x

xt

. - , . ; .. xt

- . - . , - 10km , ... () ! H - - - (t) - x.taexeiola.blogspot.com26. .. x t . . . . , xx, - yy.. - cm (1, 2, 3, 4) (0, 5, 10, 15) cm .. (x, t) .. x t.x(m)t(s)200 1 2 3 4 520 20 20 20 200 2 3 1 4 5 t(s)t(s)0 10 15 5 20 2502314x(cm)020301040x(cm)0 2 3 1 4 520301040t(s)x(m)xt1. xt= -.2. 3. .4. .5. St= .taexeiola.blogspot.com27. 1m/s 1Km/h;1km3600km10001m/ s 3, 6km/ h1 1000hh3600= = = , 1000m 101m/ h 1 m/ s3600s 36= =. 1m/s 1km/h. = =1 2 20m/ s , 50km/ h =3 5000cm/ min . ; - , .. km/h. : 120km72000km1000 20m/ s 72km/ h1 1000hh3600= = = = : 2 50km/ h = : 350km3000km1000 5000cm/ min 50m/ min 3km/ h1 1000hh60= = = = = .taexeiola.blogspot.com28. xox 1t = 3s x = 13m 2t = 7s = +Bx 19m. . : ( )x 1t=

: ( ) ( ) ( ) B Ax x x x x 19m 13m 32m 2 = = = + = + : ( ) 2 1t t t t t 7s 3s 4s 3 = = = = ( ) ( ) ( ) 2 , 3 32m1 8m/ s4s+ = = + (+) - . : ( )os 4t= :( )B AS x x x 32m 5 = = = ( ) ( ) ( ) 5 , 3 32m4 8m/ s4s = = , = +x 10m = +x 4m - = t 4s . - : ( )x 1t=

:( ) ( ) ( ) B Ox x x x x 4m 0m 4m 2 = = = + = + : ( ) t 4s 3 =x xOx -13 0 +19S0 2 4 6 8 10 -2 -4xOABtaexeiola.blogspot.com29. ( ) ( ) ( ) 2 , 3 4m1 1m/ s4s+ = = + (+) - . : ( )os 4t= :( ) ( ) ( )( )OA AB A O B AS d d x x x x 10m 0m 4m 10m10m 6m 16m 5= + = + = + + + + == + = ( ) ( ) ( ) 5 , 3 16m4 4m/ s4s+ = = +. =1t 3s , = +x 10m =2t 8s . . : ( )x 1t=

:( ) ( ) ( ) Ox x x x x 0m 0m 0m 2 = = = = : ( ) 2 1t t t t t 5s 3 = = = ( ) ( ) ( ) 2 , 3 0m1 0m/ s4s = = , . : ( )os 4t= :( ) ( ) ( )( )OA A A O AS d d x x x x 10m 0m 0m 10m10m 10m 20m 5= + = + = + + + == + = ( ) ( ) ( ) 5 , 3 20m4 4m/ s5s = =.0 2 4 6 8 10 -2 -4OABtaexeiola.blogspot.com30. 1. ; . ; :2. 2 m/s :. . . . 3. 4 m/s. :. . . . 4. 4m/ s , :. . . . () ().5. 36km/h 5m/s6. .7. :8. . - . .taexeiola.blogspot.com31.1. 1 30m/ s = 2 40Km/ h = . ;2. xox 1t 5s = Ax 3m = , 2t 9s = Bx 19m = . - .3. , - x 10m = + x 6m = - t 2s = . .4. , x 8m = + x 1m = + - t 7s = . .5. 1t 0s = , x 20m = + 2t 10s = . .taexeiola.blogspot.com32. 1 () () :. .. .. . 2 ; S.I; 3T ( )u ; 1 xOx 1t 0sec = ( )1x 0 = . 2t 5s = 2x 1, 8m = + 3t 10s = 3x 1m = + . :. . . 2 1t 0s = 2t 4s = x 12m = + . 3t 8s = .. 4s .. t 8s = .taexeiola.blogspot.com ; - . ; - . =

-, , . . - ; :( )2 1o 2 1x x x x . 1t t t t

= = = = :2 12 1x x x x .t t t t

= = = = (2), t . - . = B A x = 50mx = 50mx = tx :x x =t t:x xt =taexeiola.blogspot.com34. (1) (2) - . 1t 0 = 1x 0 = ( ), - 2t t = 2x x = t. (1) 2 2x x, t t = = 1 1x 0 , t 0 = = : x .t= = (3) x t = (4). , - ( ). . . ( ) = .

(. . =

), - .B. -: x = t x = t - (.x t x t = = ) - . - - . - - . x x(m)t(s) S x - . x = x t = t S = x.! - - . ( ) mt(s)taexeiola.blogspot.com35. - x - t . -- . - . - : ( ) ( )OABE t x = = = (). - -. - - . - - . -- . - . . . : x t= = = = - - . - , - , , . x - t (m/s)t (s)E = x A Bt 0H - - - . = x m) (t (s)x1At10x2t2tx2 1 2 1x x x , t t t = = taexeiola.blogspot.com36. 1. :. , . S ( )x. . , ( ). S 2. ( - t) - x t.3. , - , = = x - t - - t. > .x(m)t(sec)ABxAxB0 t1taexeiola.blogspot.com37. = 50m/s . 0t = 0 xox.. 1x 1t = 4s. 2t 2x = 600m. .. ( ) x = t 1 (1) 1t t = 1x x = 1 1 1 1mx t x 50 4s x 200ms= = = .. (1) 2x x = 2t t = 22 2 2 2 2x 600x t t t s t 12s 50= = = =. , .0 4 8 122550 (m/s)t s) (0 4 8 12200600x m) (t s) (: - (x - t) .taexeiola.blogspot.com38. xox = 10m/s ( )1t = 0s 1x = +20m .. 2x 2t = 4s. 3t 3x = 0. - - .. : ( ) ( )2 12 1 2 1 2 1 2 12 1x x x x t t x x t tt t= = = + ( )2 2x 20m 10m/ s 4 0 s x 20m 40m 2x = 20m = = . 3 1 3 1 3 13 1 3 13 1x x x x x x t t t tt t = = = + ( )30 20mt 010m/ s 3t = 2s + = + . . - . .. ( )1 1x , t ( )2 2x , t . . , 1 = 5m/s 2 = 3m/s , - ABd = 12m . . .. . 1 2 .0 1 410 (m/s)t s) (-100 2 420x m) (t s) (-20taexeiola.blogspot.com39. . . t t = . 1 2 . 1 1x 2 2x . ( )1 2x = d +x 1 . 1 , ( )1 1 x t 2 = 2 , ( )2 2 x t 3 = ( ) ( ) ( )( )2 , 31 2 1 2 1 t d t t d = + = ( ) 1 2d 12t t s 5 3 t = 6s = = 1x . (2) :1 1 x t 5m/ s 6s 30m = = = . 6s 30m .. t(A) (B) ()x2x11 2 1 21 2(d)(A) () ()(x )2d1 21 21 2(x )1taexeiola.blogspot.com40. : ( )1 2d = x + x 1 1 2 :( )1 1 x t 2 = ( )2 2 x t 3 = . ( ) ( ) ( )( )2 , 31 2 1 2d 121 d t t t t s 5 3 t = 1, 5s = + = = + + 1x . (2): 1x 5m/ s 1, 5s 7, 5m = = . - 1 = 60m/s 2 = 100m/s . - t = 4s :. - . . .. S t 1S 2S - :( )1 2t t t / 2 2s 1 = = = ( )1 2S S S 2 = + . 1 2 1t 2t 1S 2S :( )1 1 1S t 60m/ s 2s 120m 3 = = = ( )2 2 2S t 100m/ s 2s 200m 4 = = =. : 1 2S S S 320m = + =. : S 320m 80m/ st 4s= = =: t t. .B A S1 S2St1 t2t 1 2taexeiola.blogspot.com41. . - 1 = 30m/s 2 = 70m/s . S = 210m :. , ,. .. S ,1S S/ 2 = 2S S/ 2 = . , t 1t , 2t - 1S 2S . 1S 2S : ( )1 2S S S/ 2 105m 1 = = = :( )1 11 11 1S S 105 t s 3, 5s 2t 30= = = = ( )2 22 22 2S S 105 t s 1, 5s 3t 70= = = = : ( )1 2t t t 5s 4 = + =. : S 210m 42m/ st 5s= = =B A S/2St1 t2t 1 2S/2taexeiola.blogspot.com42. 1. ;2. ;3. (, t) .4. (x, t) . :5. :. . . . 6. :. . . . () ().8. , .9. .10. .11. - .12. . :13. . .taexeiola.blogspot.com43. 1. 72 km / h. 0t 0 = xox.. m/s. .. t 60s = ;. 1x 1000m = ;. - - .2. - ( ) x 5t S.I. = + .. ;. ;. ;. 1t 10s = 2t 15s = ;. - .3. x - . - (0s 2s),(2s 4s),(4s 8s). - 1t 1s = , 2t 3s = 3t 5s =. . 02 4 6 820x(m)t(s)taexeiola.blogspot.com44. 4. - x . . 0 10s. 0x 20m = + .5. t 5h = , d 400km = . A 100km - 1 50km/ h = , .6. , .. .. - - .04 8 128(m/s)t(s)4t (s)02515 (m/s) x (m)0840taexeiola.blogspot.com45. 1 () () :. .. .. - . 2 ; ; 3 ; ( ). 1 30m/ s = - 0t 0s = xOx .. 1t 5s = .. 2t 2x 600m = .. t , x t . 2 - .. .. t 4s = .x(m)t(sec)AB20120 4taexeiola.blogspot.com46. E:1. . :. . . . . . 2. : , , : , .3. . m/s (). O : xt= x t = . () ().. ().4. , . .5. H () . .6. , - . (.. ).7. , .t2t1 x (m)t(s) (. 23 - 25)taexeiola.blogspot.com47. 8. 0,001km/h 5km/h 100km/h 1000km/h 30.000km/h () 300.000km/s:1. .x 200m 40m/ st 5s= = = . 40m/ s = = .x x t x 40m/ s10s 400mt= = = =.x x 800m t t 20st 40m/ s= = = = , :2. . : x 200m 10, 52m/ st 19s= = =. : x x 10.000m t t 950, 57st 10, 52m/ s= = = = t 15,85min .3. . - . :. 1 :x x t 20m/ s (5 2)s x 60mt= = = =2 u - t - .: ( ) ( ) ( ) ( ) E x 5 2 s 20 m/ s 60m = = = = (t)(s) ( )(xm) (()m/s)404040 800400200 510201 3 52010u(m/s)t(s)2 52010u(m/s)t(s)E = x B Ataexeiola.blogspot.com48. 1002 540x(m)t(s) 0107,5(m/s)t(s)0. - . x t x 20 t = = (1) : t 0s x 0m = = t 2s x 20m/ s 2s 40m = = = t 5s x 20m/ s5s 100m = = =4. . .. 1 x x tt= = (1) : 1 1t 0s x 0m = = , 2 2t 10s x 75m = = x 75m 0m 7, 5m/ st 10s 0s= = =(2) ( )(2)(1) x 7, 5m/ s 6 2 s 30m = =2 : 2 1x x x 45m 15m 30m = = =. t = 8s x = 60m.. x 30m 7, 5m/ st 4s= = =. t .5. . : 1 1t 0s x 0m = = , 2 2t 2s x 30m = = 2 1A2 1x x x (30 0)m 15m/ st t t (2 0)s = = = = : 1 1t 0s x 0m = = , 2 2t 2s x 60m = = 2 1B2 1x x x (60 0)m 30m/ st t t (2 0)s = = = = . A B 0 < 0 0 > 0 < - - - ; - ( )0 0 . ; :( )2 1 2 12 1 2 1 1t t t t t . ( )1 0 - ( )1t 0 , ( )2t t - ( )2 (1) - - ( ). -

= . = t : =t t: t =

- taexeiola.blogspot.com54. - - ( )0 1 = 0 = 0 ; . = .

- - . 2 12 1 .t t t

. - : = t - . .. - : - (m/s )2t(s)( = ) - - ( )0 0 (m/s)t(s)( t ): ( ) = 2t ( ) = t 3 , - , : 21x t2 ( ) 21x = t 42x = 1/2 t2x :x2x =1t2 t:x2 xt =12 ( ) t t . 21x t2 2 2 x . 2 221 x x2 2 | ` . ,.taexeiola.blogspot.com55. - - (0 = 0)x(m)t(s) - - ( )0 0 x(m)t (s )2 2(x t )2 2 21 1x t x t2 2 - - . - , . - -. - . - - . - - - . - : ( ) ( )OABE t - , - , () , . (m/s )2t (s)E = A Bt 0 - - - . - - - (-. - - - - t - .taexeiola.blogspot.com56. - (m/s)t (s)1At102t2t - t 2 . - - . 2 1 . t (2 1t t t ). - . : t = - 1. .2. . t.. ( )

.3. . t.. ( )

.4. :. . x .5. ( - t) t.6. - .7. t .taexeiola.blogspot.com57. - . 1 2 3t = 2s, t = 6s, t = 10s 4t = 12s 1 2 3 = 4m/s, = 8m/s, = 8m/s 4 = 0m/s , : A 2 1 B 3 2 4 3t = t - t , t = t - t , t = t - t . : 2 12 1 (1)t t t 2A 2 1 8m/ s 4m/ st t t 6s 2s 4s, 1m/ s4s . 2B 3 2 B8m/ s 8m/ st t t 4s, 0m/ s4s . 2 4 3 0m/ s 8m/ st t t 2s, 4m/ s2s . t , t t . 2 = 4m/s . 1t = 2s 1 = 2m/s. 2t = 6s .. 3t 3 = 22m/s .. :( ) ( )( )2 12 1 2 1 2 1 2 12 122 t t t tt t 2m/ s 4m/ s 6s 2s + + 2 = 18m/staexeiola.blogspot.com58. - . :3 1 3 1 3 13 1 3 1 3 23 1 22m/ s 2m/ s t t t t t 2st t 4m/ s + + 3t = 7s - . - - . t : 0s 2s . 2 - ( ). - : 2 112 1 12m/ s 0m/ st t t 2s 0s 21 = 6m/s . t : 2s 4s . 2 12m/ s ( ) 0 . : 2 0m/ st t 2 = 0 t : 4s 7s . 3 - ( ) ( , 3 ) :3 0m/ s 12m/ st 7s 4s 23 = -4m/s - .: t - x t, t . 0t = 0 1 = 20m/s 1x = 100m 1t .. 1t .(m/s)t(sec)02 4 7124-4(m/s )2t(sec)02 4 76taexeiola.blogspot.com59. - . 2t = 15s - 2 1t = t - t .. , - - .. : t (1) 21x t (2)2 1t t ,1 1x x . (1) :11t (3) 2 2 2(3) 1 1 11 1 21 1(2) x x (4)2 2 2x 2 = 2m/s (4)(3) 1t = 10s. 2t t 15s ,2 2x x . ( ) 221 2m/ s 15s 30m/ s , ( ) ( )222 212 x 2m/ s 15s x 225m2 : 2 1x x x 225m 100m 125m . 5o 18 m.. ;. t, t x t.(m/s)t(s)203010 15(m/s )2t(s)210 150x(m)t(s)2251000 10 15 - - : -- : - - :taexeiola.blogspot.com60. - . 21x t2 . 4 -5 s 5 4x x x :25 51x 18m, x t2 24 41x t2 :( )( ) ( )2 2 2 2 25 4 5 4 2 2 2 2 25 41 1 1 2x 218mx t t x t t 4m/ s2 2 2 t t 5 4 s . : - : - 2 4m/ s . , . - : , 2 . t 4t : 221 1t 0 4m/ s 0s 0t 1s 4m/ s 1s 4m/ s - :10 = 0 2t = 0 t = 4s t = 5s18m x4x504(m/s )2t(s)1 2084(m/s)t(s)1 2taexeiola.blogspot.com61. - : . , . : 2 2 21 1x t 4t 2t (m)2 2 (x, t).2 2 22 2 21 12 2 22 22 2 23 32 2 24 4t 0 x 2m/ s 0 s 0mt 1s x 2m/ s 1 s 2mt 2s x 2m/ s 2 s 8mt 2s x 2m/ s 3 s 18mt 4s x 2m/ s 4 s 32m - :: - 5 - 1t 4s 2t 5s , t 1s . 25m. . 21 = 1m/s - 22 = 0, 5m/s , :. ;. ;. ;. : : . : 21 11x t2 , 1 1 t . : . - : 22 21x t2 , 2 2 t .024301218x(m)t(s)1 263 425m x2x1 = 11 m/s2 = 0,52 m/s2A K Btaexeiola.blogspot.com62. - ( 21x = t2) - - - . - . - . - t . .( )( ) = t 2AO1 1 1 1x = E = O A = t x = t t x = t2 2 2 2 ( : t ) t 0 ( ) x 0 21x x t2 , :( )2 2 2 22 1 2 1 1 22 2 2 21 21 21 1 1 125m x x 25m t t 25m t t2 2 2 21 2 25mt 25m t t 100s t 10s2 + + 10s.. 2x .:2 22 21 1x t 0, 510 m 25m2 2 . : : 1 1 t 10m/ s . : 2 2 t 5m/ s .(m/s)t(s) tOAtaexeiola.blogspot.com63. - 1. :. ;. ;2. - - ;3. - - . .4. ( ) ( ) t , t ( ) x t ( )0 0 0t 0, x 0, 0 :5. :. . . . 6. :. . . . 7. :. . . . 8. :. . . . 9. :. . . . taexeiola.blogspot.com64. - () ().10. .11. .12. -4 m/s -2 m/s, 13. , .14. - .15. - .16. ( ) 10 t S.I . 2 10m/ s . :17. 4m/s2 . .18. - xox ( ) 4t S.I . ., . ( ) S.I19. - . taexeiola.blogspot.com65. - 1. , , , xx. 1t 2s 2t 4s :.1 2 2m/ s, 4m/ s . 1 2 4m/ s, 2m/ s . 1 2 1m/ s, 5m/ s . 1 2 5m/ s, 1m/ s .2. - . 0t 0s 0x 0m . t 10s 20m/ s . t 10s . ,- , - .3. x 800m . t 20s . :. ,. .4. . 0t 0s - 0x 0m 0 0s . x 32m 8m/ s . :. .. x = 32 m;. , , - .taexeiola.blogspot.com66. - 5. .. . 1 2 3t 1s, t 5s, t 9s .. .6. - .. . 1 2 3t 1s, t 5s, t 9s . 7. 2 3m/ s 1t 4s 6s .. 0 6s. , , 2t 10s 8. ( )0 0m/ s 0t 0s - 2 4m/ s .. 1t 4s .. 2x 72m . 10 .9. 0t 0s , - A 20m/ s 02416(m/s)t(s)286 10020(m/s)t(s)4108 10taexeiola.blogspot.com67. - 2B 2m/ s .. t - , x ;. .10. - .. . . .11. , -.. .. - - , - - .12. , -.. .. - - , - - - .(m/s)t(sec)02 5 610 A B (m/s )2050 (m/s) t (s) x (m)01 40taexeiola.blogspot.com68. - 1 () () :. 24m/ s . 4m/ s .. . 2 ; ; S.I.; 3 :. .................... .. .................... - , - .................... 1 2 5m/ s . .. t 8s . 50m/ s ; 2 .. 1t 0s t 10s 1 2t 10s t 20s .. 1 2t 10s t 20s .. - t.(m/s)t(sec)010 2020taexeiola.blogspot.com69. - E:1. . . . . 2. . . . .3. = . , t , 21x t24. . . . , .. - . - , - - . . .5. : tt (1). 2t 1s 4m/ s 1s 4m/ s . 2t 2s 4m/ s 2s 8m/ s 6. (. 36 - 39)taexeiola.blogspot.com70. - 1 2x x 2 1x x > , . . 1. 2 1 3 2t t t t t t : 2 1 2 12 1 t t t (1) 3 2 3 23 2 t t t (2) 3 1 3 13 1 t t 2t (3) 2 t1 x1 x2 1 2 1t t t t 3 3 1t t t 2t :2 11 1 22x 1x t 2 t (1) ( )2 2 22 3 2 22x 2x 1x t 2 4 t2 t (2)7. : At (1) : MMt (2) (1) (2) :A A M M 70m/ s 60m/ s 1t 2 20m/ s 0m/ s 2t > .t2 t3t11 2 3x1x2taexeiola.blogspot.com71. - 2. (m/s)t(s) (m/s)t(s) (m/s)t(s) ( ) m/s2t(s) (m/s)t(s)9.8.10.(m)t(s)( ) x =(m)t(s). x(m)t(s). xtaexeiola.blogspot.com72. - :1. :2 2 1 16m/ s 10m/ s 2m/ st t 3s - 0

.2. : 2 1 t t (1) 1 0m/ s , 2 10m/ s . 210m/ s 0m/ s(1) 12, 5m/ s0,8s 3. : 21 t (1) x t (2)2 . (1) 2t 5s 1m/ s 5s 5m/ s . (2) 2 21t 5s x 1m/ s 25s 12, 5m2 4. 2 18m/ s t t t t 6s 3m/ s 5. : 2 22 21 2x 23mx t 6m/ s2 t 1s 6. :2 t 4m/ s 2, 5s 10m/ st ( ) : 2 1 2 1 2 (10 2)m/ s 12m/ s + + 7. :. 2 2 1 0m/ s 24m/ s 8m/ st t 3s taexeiola.blogspot.com73. - 20 10BA42OE = xABO t(s)(m/s). 2 4m/ s2 , : 2 12 0m/ s 24m/ s t t 6st 4m/ s 8. :2 1 2 12 3m/ s 22m/ s t t t 9st t 2m/ s 9. : 2 24m/ s t 2m/ st 12s (1) 2 2 21 1x t 2m/ s (12s) x 144m2 2 10. . - : 2 12 1 t t t (1)2 11 2 t 0s 0m/ s(2) t 20s 4m/ s ' (2)2(1) 0, 2m/ s . :1 : 2 2 21 1x t 0, 2m/ s (20s) x 40m2 2 2 () - - ( ) ( )ABO1 1x E AB OB 4m/ s 20s 40m2 2 11. .. (0 10) sec 21 1 4m/ s 0m/ s 0, 4m/ st 10s 0s .. (10 25)s 4m/ s .. (25 35)s - 23 3 2m/ s 4m/ s 0, 4m/ st 30s 25s taexeiola.blogspot.comtaexeiola.blogspot.com ; - - . g - :. - . -. . . - - . - g= 9,81m/s2 , g=10m/s2. ; g . - - . taexeiola.blogspot.com76. . : - = g = . - :. : - - : = g t :. : - : 21y = g t2 :(m/s )2t(s)(m/s)t(s)y(m)t(s)y(m)t (s )2 21. .2. ( g) g t , 21y g t2 3. g :. . . :taexeiola.blogspot.com77. h. 5s. :. , ;. ;. 1s ; ; 2g = 10m/s .To : 21y gt (1)2 gt (2) . (1) t 5s .E: 2 2 21 1h gt 10m/ s (5s) 125m2 2 . (2) t 5s . : 2 gt 10m/ s 5s 50m/ s . t 5s , 1s 4s. (1) 1t t 4s .: 22 21 11 1y gt 10m/ s (4s) 80m2 2 . :2 1y h y (125 80)m 45m (2) 1t t 4s .: 21 gt 10m/ s 4s 40m/ s t = 0sh = ;t = 5st =0y1y2t = 5st = s1 41h=125mtaexeiola.blogspot.com78. h = 45m :. ;. ;. , - , - . 2g = 10m/s .. 21y gt2 y h 45m .: 221 2h 2 45mh gt t 3s2 g 10m/ s .. gt t 3s . : gt 30m/ s .. - ( ) t 3s 30m/ s . - . , . t 1s : 211y gt 5m2 . t 2s : 221y gt 20m2 . t 3s : 231y gt 45m2 . - - . - 2 g 10m/ s .t = 0h = 45mt010(m/s )2t(s)3030(m/s)t(s) 3030401020y(m)t(s)1 2 3taexeiola.blogspot.com79. . 2ht =g. = 2gh . 1. ;2. , ;3. ; ;4. . - . 5. :. . . . 6. :. .. .. .. .taexeiola.blogspot.com80. 7. m 2m . :. .. .. o , .. o 8. . . . . 9. :. . . . () ().10. .11. .12. . :13. . ..14. : () () .15. .. .taexeiola.blogspot.com81. 1. H 80m .. t 2s ;. 30m/ s ;. ; 2g 10m/ s . .2. H. t 9s . 2g 10m/ s . H. h 85m ;3. 2g 10m/ s . - 4 1 30m/ s 2 60m/ s .. . 4 . - - .4. ( - ) .. , ;. , . .taexeiola.blogspot.com82. 1 . 1. . g t . x t 2. . 21x t23. . . . . 4. . x . 2 ; ; 3 ; 1 h 35m . :. .. . ( 2g 10m/ s ) 2 . 10s . :. .. t 5s . ( 2g 10m/ s ). ;taexeiola.blogspot.com83. E:1. - , . 21y g t2| ` . , .2. . .. - , . -, 1 .3. : 21y g t2 . :2 21 2y 2yy g t t t2 g g : 2ytg (1), : ..B..2ytg (2) y .. g g > , (1) (2) : ..t t > . .4. : 1g g6(1) (. 43 - 44)taexeiola.blogspot.com84. y , t t . : 2 2 2y1 t (2)y g tg21 2yy g t t (3)2 g ' ' (2) (3):(1) 2y 2yg t t g g6 1 t t2y 1t t2y gg 6g > > .. : g t (5) g t (6) (5) (6): (1) (4) 1g 6 t g t 661 g t g t 6 < < .5. ( )max g . = 0 :min max 0 g < < A:1. 2 g 10m/ s . 10m/ s . ( ). : t1 = t taexeiola.blogspot.com85. 21 11y g t2 (1), 2t t 1 + 22 21y g t2 (2). :( ) ( )( )(1)2 2 2 22 1 2 1 2 1 2 1 2 1(2)1 1 1 1y y y y g t g t g t t g t t t t2 2 2 2 +( )( ) ( )1 1y g t 1 t t 1 t g 2t 12 2 + + + + ( )1y g 2t 12 + .2. : g t (1) 21y g t2 (2) 2 g 10m/ s (3). 2 10m/ s .. (1) 2 10m/ s 5s 50m/ s . (2) 2 21y 10m/ s (5s) 125m2 3. : g t (1) 21y g t2 (2) 2 g 10m/ s (3). t = 1s (1) 10m/ s .. t 2s y h h . (2) : 2 21h 10m/ s (2s) 20m2 4. . 2 g 10m/ s . :21y g t2 (1) g t (2) . (1): 2ytg (3) 1 2y 1m, y 3m 3y 10m :1 2t 0, 447s, t 0, 775s 3t 1, 414s . (2) .1 2 3 4, 47m/ s, 7, 75m/ s, 14,14m/ s taexeiola.blogspot.comtaexeiola.blogspot.comF1F3F2F12FlF=10NF=10NxxF = 6N1F =2WxyFxy45NFWTFmF2mF=10NT=8NwwF=10NF=10NxxF = 6N1WFmF2mF=10NN6 :7 :8 :9 :10 :11 : - F2ww 2taexeiola.blogspot.com - B : . . , . F.: - . : -, . . , : , : :2 2. 1 2F F F = +: -.: - .: . Hooke: - (F = k x) : - (F) .1 : - - , - . F. = 0, :

=

= 02 : - . FF = m =m

3 : . , - .F

= F

1 : 1 g 1 m/s2.1 N = 1 Kg 1 m/s2 : - . 1 21 22m mF = G m , m :dG:d :: .w

= m g

: .taexeiola.blogspot.com ; . . , . . . , - . ; . - . - . . . - ; - . ! .taexeiola.blogspot.com90. - H ; ( Hooke). - . - . - - . . Hooke: - - .F k = (m) : k: (/m). 1 ().12 - , . . - - . - . .. , , , . - - -: , -, - . - taexeiola.blogspot.com91. - H ; - . - : 10 . . - . , . ; - -, . -; () -F = 10NF = 10NxxFF1F2 To .!O - F F.taexeiola.blogspot.com92. - H F = 3N1F = 4N2F =F +F =7N 1 2 ; - - . 1 2F F F = 1F 2F : 1 2F F F 5N 2N 3N = = = -; , . - . - . 1 2F F F = + 1F 2F :o 1 2F F F 3N 4N 7N = + = + = F = 5N1F = 2N2F = 3N! - .! - .taexeiola.blogspot.com93. - H , - :2 2 2o 1 2F F F = + 2 2 1 2F F F = +.. ( ) ( )2 2F 3N 4N = + F 5N = - :12F 3F 4= = ; .F1 F1F2 F2F FF = 3N1F = 4N2F F = 5N1F = 5N2F = 0 B : .2 2 2 = + -. - , . F = 8N1F = 6N2 F =10Nxytaexeiola.blogspot.com94. - H ; . 1F 3N = 2F 4N = - : 1 2F F F 3N 4N 7N = + = + = 2 1F F F 4N 3N 1N = = = ( ) ( )2 22 2 1 2F F F 3N 4N 5N = + = + = FoF1 F2F1 F F2F1F2 F =5N . . , , . . .3 1,2F F = F1F3F2F12taexeiola.blogspot.com95. - H - ; F1 = 20 N F2 = 50 N, .1 : , 1 cm N . .. 1cm 10N 2 : :. 111cm 10N x 2cmx 20N = F1 - x1 = 2 cm.. 221cm 10N x 5cmx 50N = F2 - x2 = 5 cm. 3: , - , ( ). Fo = F1 + F2, x = x1 + x2 = 7 cm 4: Fo . -, F 7 cm:1cm 10N F 707cm F = F F1 F2. ; F = 300 N, - = 45.1 : , :1cm 60N x 5cmx 300N = 2 cmF15 cmF2F F1F2taexeiola.blogspot.com96. - H FyFx OFAB2 : . , xx ( ), yy .3 : - (45o) . . .4o : , xx yy. xx, , Fx. yy -, Fy.5o : Fx,Fy. Fx:xx1cm 60N F 210N3, 5cm F = , ( )yy1cm 60N F 210N3, 5cm F = , ( ) ; - ( ) : . . . .= = - Fy, :Fy ,F= Fy : Fy = F . . . .= = O -xyFxy453 x x yyxxyyO2 xyFFxFyxy454o taexeiola.blogspot.com97. - H Fx, :Fx ,F= Fx : Fx = F 1. .2. .3. ( ) ( ).4. , .5. () , .6. :. .. .7. .taexeiola.blogspot.com98. - H F1 = 8N F2 = 6. :. . . .. .. : 1 2F F F 8N 6N 14N = + = + =. : 1 2F F F 8N 6N 2N = = =. - ( ) :( ) ( )2 22 2 2 1 2F F F 8N 6N 100N 10N = + = + = = .. F = 8N3F = 2N2F = 10N1. F = 6N1F = 1N2F = 9N3F2 FF1F1F2FF1F2Ftaexeiola.blogspot.com99. - H . F1 F2 .1,2 1 2F F F 10N 2N 12N = + = + = F1,2 F3 :1,2 3F F F 12N 8N 4N = = =. F2 F3 .2,3 3 2F F F 9N 1N 8N = = = 2,3F F1 . ( ) ( )2,32 22 2 1F F F 8N 6N 10N = + = + = F1 = 10N F2 = 4N. . .max 1 2 maxF F F 10N 4 F 14N = + = + = .min 1 2F F F 6N = = F1 =20N, F2 = 10N F3 . - F3. . F3 F1, F2 . : 3 1 2F F F 30N = + = . . .F2,3F1FF2F3 F1F = 6N1F = 8N2Wtaexeiola.blogspot.com100. - H F1 F2. ( ) ( )2 22 21,2 1 2F F F 6N 8N 10N = + = + = (w) F1,2 1,2w F 10N = = . . 2 4cm, :i. 2 4cm ii. 2 4cm x 10cm 8 y x 5N = y 16cm =iii. 2 4cm z 100cm z 50N = : ()(cm)2N4cm 10cm8N100cm5N 50N16cmF = 6N1F = 10N1,2F = 8N2w ()( ) cm24 108100taexeiola.blogspot.com101. - H 1. ; ( ).2. .3. ;4. .5. 1F 5N = . 2F 12N = . - .6. 1F 6N = 2F 8N = F 14N = . . .7. H :. .. .. .8. :. .. .. .9. :. .. .. .taexeiola.blogspot.com102. - H 1. F1 = 5 F2 = 12 :. . . . . .2. . - F3.3. 900. .4. F1 = 10 x1 = 5cm. F1 - F2 = 5N , ;5. .F = 10N1F = 2N2wF = 12N2F = 5N1F = 1N2F = 1N4F = 4N3F = 5N1F = 12N2F = 9N1 F = 7N3 F = 3N1F = 4N2taexeiola.blogspot.com103. - H 1. ;. ; 2. ;. Hooke. ; 3 () ().. .. .. .. - , .. .. . 1 F1 = 100N F2 = 80N. . 2 F1 = 9N F2 = 12N F = 15. .taexeiola.blogspot.com104. - H wF (. 54 - 56)E:1. , , , , , .2. : - , ... : , ...3. . . . .4. 1 1cm - 5 5cm 10 10cm.5. F1 F2 , F3 F4 , - F5 F6 F6 F5, F7 F8 F8 .6. (w) - (F). - .7. . 8. (.) (.)9. F = 700 F = 100. F = 600 .taexeiola.blogspot.com105. - H 10. max 1 2F F F 400N 300N 700N = + = + = -.min 1 2F F F 400N 300N 100N = = = .11. , - min 1 2F F F = . F1,2 .12. .F1F3F2F1,2:1. . FoF1F2 . 1 2F F F 20N = + =. F2F1F60o.. F1F2 1 2F F F 0 = = 00 (1800).2. 2 1mm. 50N 25mm. : 1 22NF F 18mm 36Nmm= = =3. . 1 2F F F 4N 3N 7N = + = + = . 1 2F F F 4N 3N 1N = = =. ( ) ( )2 22 2 2 1 2F F F 4N 3N 25N 5N = + = + = =450yxF1F2F2F1F45oF1F2Ftaexeiola.blogspot.com106. - H 4. : 1,2 1 2F F F 175N = + = . 3,4 3 4F F F 155N = + = . 1,2 3,4F F F 20N = = . .5. E .F'2F2F1F'1F3F'3 F4 F5 F4,5 . F6 F7. F4,5 F6,7.F5F4,5F4F4,5F7F6,7F6F6,7A B6. . : 1x 5cm = . F' 40N =7. .To . :ox1F F60 75 37, 5N2= = =8. . ( ) ( )2 22 2 2 2 2 1 2F F F 6N 8N 36N 64N 100N = + = + = + = F 10N =H 21F 8N 4F 6N 3= = =. F . F3 10 F.600300BFxOFyA Ftaexeiola.blogspot.com ; . - - (). - , - . . : - , . . 1 . , - . ( ). : 1 - - .! 1 . .1 taexeiola.blogspot.com108. - . . - . - . 1 1. .2. :. ( ) 0 0 = = .. ( ) . =

.taexeiola.blogspot.com109. - 1F = 10N 2F . t = 0 x = 0 = 10m/s .. 2F ;. 1t = 4s ;. . : 1 2 2 2F 0 F F 0 10N F 0N F 10N = = = = .. :1 111x x x 0m 10m/ s x 40mt t 4s 0s = = = . (F ) . x t = . . - . . - -. - .Fwtaexeiola.blogspot.com110. 1. ;2. 1 - - .3. 1 - - .4. . .5. , :. . . . .6. ; .. .. .. .7. , ;8. .i. .ii. .iii. .Ftaexeiola.blogspot.com111. 1. . w = 10N:. ;. , .2. . ( ) F = 500N. ; - ; ( ).3. . ; ;wtaexeiola.blogspot.com112. 1 () ().. .. .. . 2 1 . 3 : .................... .................... . 1 10m/ s = . - 1F 10N = 2F . :. 2F .. t 5s =. 2 . t 2s = S 50m = t 0s =.taexeiola.blogspot.com - ; . - - . - . ; - . - . . 2 . ( )F m. (1) oFm=oF mFm=F = m m: Fm = : F =m! F - . .taexeiola.blogspot.com114. 1. .2. ( ).3. F m = .2. ( - ) (- ).3. 1 () ( )21 1g1m/ s = 1 1Kg 21m/ s .4. (1) F m = . 1. .taexeiola.blogspot.com115. m = 2Kg - F = 10N - . :. .. t = 4s .. .. ;. 2 : Fm= 210N 5m/ s2Kg= =. . : 2 t 5m/ s 4s 20m/ s = = =. : ( )2221 1 mx t 5 4s2 2 s= = x 40m =. . F F . m F - 2 = 6m/s , . 2m F, ; .FF FFmF2mtaexeiola.blogspot.com116. m: F m = (1) 2m: F 2m = (2) (1) (2) : 2F m 1 3m/ sF 2m 2= = = m = 2Kg - 2 = 4m/s .. -. .. .. 2 :F m = 2 F 2g 4m/ s F 8N = = . F F : F F F F F F F 4N = = =. ( ) t = . m = 2Kg .. ;. .. .. 5s.. 0s 2s . 2s .. : 2 4m/ s t 2m/ st 2s= = = = .F = 12NF = 12N F = 4t(s)(m/s)t(s)(m/s)2 54taexeiola.blogspot.com117. 2s 5s .. 2 : 2F m F 2Kg 2m/ s F 4N = = = .. 211S t2= ( )21 21 mS 2 2s 4m2 s= = . 2S t = 2S 12m = . 1 2 S S S S 16m = + = . m = 1Kg F = 10N = 60 - . . :. .. t = 3s . (Fx Fy). Fx :xxF 1 F F 10N 5F 2= = = = ( .). Fx :x2F 5 m 5m 1g s= = = (). = . : t = t 3s = : 2m m 5 3s 15ss= =F = 10NF = 10NFxFytaexeiola.blogspot.com118. 1. ;2. . .3. 2 . ; .4. 1F 2F . :. .. . . 1F 2F .. .5. m 1Kg = F 2N = . :. . . . .6. m 5Kg = , F 5N = . - :. 21m/ s . 22m/ s . 20, 5m/ s . 25m/ s7. :. .. .. .F = 10NB F = 5NABAAm 2KgBm 4Kgtaexeiola.blogspot.com119. 1. m 10Kg = . - 1F 3N = 2F 4N = . :. .. .. 4m/ s = .2. m 2Kg = t 4s = - 8m. :. ;. .. 5s.. .3. m 1Kg = . 1F 12N = 2F 5N = . :. .. .. .4. m 2Kg = F 12N = F 4N = . :F = 12N F = 4taexeiola.blogspot.com120. . .. 2s.5. w 100N = F 120N = . 2 2m/ s = , :. .. 4s .6. m 2Kg = . - t 4s = 16m. :. .. .. 4s.7. m = 2Kg. 1 2F 2N, F 8N = = 3F 4N = . :. (F).. .. .. ( ) t 5s = .F2F1 F3taexeiola.blogspot.com121. 1. .. ; 2 ;1. .2. .3. .4. . 3 . 1 - .. ;. t = 2s.. t = 6s. 2 m 2Kg = . - 1F 10N = 2F 8N = .. ;. 4s.. 4s .22mm21 2F = 10Ntaexeiola.blogspot.com122. (. 63 - 66)E:1. / / / .2. : . . 3. 1.4. . - . - .. . . - .. . .5. .6. . . - .. .7. 1 F = 0.8. . , ( F m = ) - .9. 1 -taexeiola.blogspot.com123. . 1F 2F . 1 2F F 20N = =10. : F m = (1) . 2 :F 2m = (1) : F 2 F 210N 20N = = =11. 2 : F 10 25m g Kg 1, 2 3= = = . 2 21 1F 0, 6m/ s2m= = . : 22F 0, 4m/ s3m= =12. 2 - . .13. . .: -. .14. . . .. F 0 0 .. .. F .F1F2Ftaexeiola.blogspot.com124. :1. 2F 10NF m 5m/ sm 2Kg= = = = . .2. 2 : 2F 2NF m m 0,1Kg 20m/ s= = = =3. . : F F F F F 4F 120.000N = + + + = =. 2 : 2F 120.000N 4m/ sm 30.000Kg= = =. . 2 t 4m/ s 10s 40m/ s = = = .4. 2 F m = 2F 300g 20m/ s 6000N = = . . . F 6000N = 2 20m/ s = ( ).5. . t = 2 25m/ s 5m/ st 5s= = = .F m = 2F 900Kg5m/ s 4500N = =. 2 F m 70g5m/ s 350N = = = . .6. : : 21x t2= 222x 8m/ st= = 2 2F m 700Kg8m/ s 5600N = = = .7. 2 00 30 10 2m/ st t t 10 = = = =, F m = 2F 1500Kg 2m/ s 3000N = = .8. 2 . :2 2 21 2F F F = + ( ) ( )2 22F 6N 8N = + 2 2F 100N = F 10N = . 2F 10N 5m/ sm 2g= = = .9. 2 F m 6500m/ s 0, 7Kg 4550N = = = F .F1F2Ftaexeiola.blogspot.com N . 1m 2m d, ( ). :1 22m mF Gd=1m ,2m : (Kg).G: ( )2 2N m / Kg .d: (m). . . dF Fm1m2 ! G - - . 1. .2. - , .3. , .4. m h 2r mF Gd= r rd R h = + d - .taexeiola.blogspot.com126. ; (m) h , - W .r2rM mw Gd= r rd R h = +rR : h: m: . 2 :w m g = wgm= . - , , - (g) - 2g 9, 78m/ s = 2g 9,83m/ s =hdrRrm! .! . - . 1. .2. .w = m gw m:wwm =g g:w wg =mtaexeiola.blogspot.com127. - ; . .. .. Kg .. g. w m g =.. . - 1. .2. .3. w mg = g .4. g. .taexeiola.blogspot.com128. w = 128N . m = 80Kg. :w m g = 2w 128Ng 1, 6m/ sm 80Kg= = = w = 100N :. rh = R .. rh = 3R .. :rrM mw GR= rh R = :( ) ( )r r r2 2 2rr r rM m M m M m 1 ww G G G4 4 RR R 2R= = = =+ w 100Nw 25N4 4= = =. rh 3R = .( ) ( )r r r2 2 2rr r rM m M m M m 1 w 100Nw G G G 6, 25N16 16 16 R3R R 4R= = = = = =+ w = 98, 3N m = 10Kg . 2g = 9, 83m/s 2g = 9, 78m/s.taexeiola.blogspot.com129. .w m g = 2w 98, 3Ng 9, 83m/ sm 10Kg = = =. . . 1m 2m F = 16N .. .. 1m 2m ;. : 1 22m mF Gd= :1 2 1 22 22m 2m m mF G 4G 4F 64Nd d= = = =. :( )1 2 1 2 1 22 2 2m m m m m m 1 FF G G G 4N4 4 4d d2d= = = = = . . w. F = 2w . ( 2g = 10m/s ).. .. 4s.. 2s.. 2 F m = F w m = 2w w m = w m =mg m = 2 g 10m/ s = =. . :2 t 10m/ s 4s 40m/ s = = =. : ( )2221 1 mx t 10 2s 20m2 2 s= = =wFtaexeiola.blogspot.com130. 1. .2. ;3. ; ;4. ; ; .5. () (): m1 m2 = 10 m1 r. :. m1 m2.. , .. , .6. () ():. .. .. , .7. ;8. ; - ;taexeiola.blogspot.com131. 1. m 80Kg = h 3R = . 2g 10m/ s = .2. m = 1 g . g. = 9,78 m/s2, g.. = 9,83 m/s2.3. 5510 N , . r = 4 Rr, Rr .4. m = 2 Kg , F = 2 m/s2. :. F. t = 5 s. ( 2g 10m/ s = ).5. 4Kg. :. .. 21m/ s .. 22m/ s . ( 2g 10m/ s = ).taexeiola.blogspot.com132. 1. m = 10 g m = 10g. ;. 5Kg;. 10Kg . ; ; 2 () ():1. .2. .3. . 3 ; 1 m = 100 Kg mB = 1 Kg, r = 0,5 m.. FA FB.. , ;. m (F = 2F), m. 2 w . F, 2g. F m = 2Kg g = 10 m/s2.taexeiola.blogspot.com ; - . . - . . . . ; ( ) . ( - )! - . . . F . taexeiola.blogspot.com134.1. .2. .3. .4. .wNT0 , - .taexeiola.blogspot.com135. m = 2Kg . F = 10N . T = 8N :. .. 3s.. 2s.. 2 .F m = F T m = 10 8 2Kg = 2 1m/ s = .. .: t = 2 1m/ s 3s = 3m/ s = .. :( )2221 1 mx t x 1 2s 2m2 2 s= = = m = 2Kg = 10m/s t = 5s . T = 4N :. .. .. 4s.. :2 t 10m/ s 5s 2m/ s = = = .. 2 :F m F T m F T m = = = +2F 4 2g 2m/ s F 8N = + =. 4s :taexeiola.blogspot.com136.( ) ( )2 22 24 3 4 3 2 21 1 1 m 1 mx x x t t 2 4s 2 3s 16m 9m 7m2 2 2 2 s s= = = = = m = 2Kg F = 4N 2 = 1m/s . - . F 2F 4N 2m/ sm 2Kg= = = , 2 : 2mF m F T m T F m 4 2g1 T 2Ns= = = = = -: m = 2Kg - F = 6N :. .. 4s.. 2s 4m/ s. t 4m/ s 2s = = 2m 2s = . 2F 6N 3m/ s m 2Kg= = = . 2 :2F m F T m T F m 6 2g 2m/ s 2N = = = = =. :( )2221 1 mx t x 2 4s 16m2 2 s= = =2 4 61284(m/s)t(s)taexeiola.blogspot.com137. 1. , ;. 1 ().. .. .. .2. ;. m F, : F T m + = .. .. - .3. ; ;taexeiola.blogspot.com138.1. m 2Kg = - = 1. 1F 3N = 2F 4N = . :. .. .. 4s.2. 2 5m/ s = . - m 70Kg = . w 700N = , :. .. 4s -, ;3. m 1Kg = F 2N = .. , ;. F , , 12m/ s = ;taexeiola.blogspot.com139. 1 , ; 2 ; ; 3 - 2 2m/ s = .. .. 4s.. 2s. 1 . 2F - 2. ; 2 F 15N = . 2,5g = 10 :. .. 4s .. .. - .taexeiola.blogspot.com140. (. 75 - 78)E:1. , , , , , , .2. 2 F m = w = F = g w m g =3. w m g = . g, . g 2M mw Gd= - .4. . . . . . . . .5. F Fm= .6. . 2 wgm= , g = .7. oF 0 F T 0 F T 10N = = = = . F .taexeiola.blogspot.com141.8. . oF 0 w N 0 = = . - F T > F. - .9. . 2 :1 111 1 1w A m g A A gm m m = = = (1) 2 222 2 2w A m g A A gm m m = = = (2) 1 2m m > (1) (2) 1 2 > . 1 1 t = 2 2 t = 1 2 > .10. . : : w m g 20N = = , : 20w m g N6= = . w w > F 20 = 20F 6= . : t= . 2 F m = .11. .. .. .. .12. m - w. ww m g gm= = - .13. .taexeiola.blogspot.com142.:1. W mg = . :. 2w 0,1Kg10m/ s 1N = = . 2w 70Kg10m/ s 700N = =. 2w 900Kg10m/ s 9000N = =2. , :. w m g 750N = = . A Aw m g 285N = =. 2 BB BW 690Nw m g g 9, 2m/ sm 75Kg= = = =3. . :2w m g 2Kg10m/ s 20N = = = . oF 0 w N 0 w N 20N = = = = .4. . 2 :2F m F T m 100 20 20g 4m/ s = = = =. , : 2 t 4m/ s 2s 8m/ s = = =5. . . :2 t 27m/ s 9s 3m/ s = = = .. 2 :2F m 1200Kg3m/ s 3600N = = =. . : . . F F F F F F F 3900 = = + =6. . 2F m m g 925g12, 2m/ s 11.285N = = = = .7. 2 .2F T m T F m 40N 5Kg 6m/ s 10N = = = =taexeiola.blogspot.com ( - ). . - - . .. h w () - - ( / w).. .: .: - . - - .wwNN3 ! - - .taexeiola.blogspot.com144. : .1. , ( - ).2. ( ).3. 2 ( ).4. - . . . . .taexeiola.blogspot.com145. . 60Kg 120g. - 1F = 180N . :. . .. .. 2F 180N = .. : 2 2F 180 3m/ sm 60g= = =. : 2 1F 180 1, 5m/ sm 120g= = = 50Kg ; - = g , ; 2g = 10m/s .. . :2mN w m g 50Kg10 500Ns= = = =. g 2 : F m w N m g = = = 0. .F1F2taexeiola.blogspot.com146. m = 2Kg - .. .. . (2g = 10m/s ).. F () ( ) 3 . ( ). .. ( )x yB .. yB N = (1) xT B = (2) F 0 = . x : xx x B B mg B= = =2 x 2Kg10m/ s 30 10 = = . (2) x 10N = = . = 30 = 30TNB = 30T NBxByBtaexeiola.blogspot.com147. 1. .. .. .. .. .. .2. .. .. .. , .. .3. m , 1B 2B . - . ;. 2B 1B , .. .. .. .4. .taexeiola.blogspot.com148. 1. 1m 1Kg = 2m 1, 5Kg = . 1m 21 2m/ s = , 2m .2. . m 1Kg = 45 = .. .. . ( 2g 10m/ s = ).3. m 0, 5Kgr = . - F 2N = 60 = ( ) :. .. F ( - ).. .. x 25m =.F = 60 = 45taexeiola.blogspot.com149. 1 () ().. .. .. . 2 :. .. F . 3 . ; 1 m 0, 5Kg = . ( ). 2g 10m/ s = . 2 ( ) . 5 45 = ; (2g 10m/ s = ). = 45Nwtaexeiola.blogspot.com150. (. 86 - 88)E:1. . .2. . .. , - .. . - .3. ().4. . F . F > T .5. . - - .6. . Fm= - .7. w . -taexeiola.blogspot.com151. :1. . 2w m g 0,1Kg9, 8m/ s 0, 98N = = = .. w 1w w 0, 98N = = w.. 2 24 224F 0, 98N 0,1610 m/ sm 610 Kg= = =2. - . 1F :21 1 1F m 40Kg3m/ s 120N = = = 2 122F 120N 2m/ sm 60Kg= = = - . .8. w . - , . (w, w) (, ).9. . .. 2 Fm= () .. .10. .11. . - .NN wtaexeiola.blogspot.com152. 3. . w (). : w T 1N = =. . F F T T 1N = = =.4. w . . :2N w m g 2Kg10m/ s 20N = = = =5. . . : 21N w m g 50Kg10m/ s 500N = = = = . .. :2 1N w w m g m g 510N = + = + =. :N w F 572N = + =6. . 2 F m F w m = =F w m = +F m g m 54.000 = + =. F F . F F 54.000N = =TwwNtaexeiola.blogspot.comK15cm5cm10cmABMilkhhAAh1hAEPIOAB hWWAWV.AA1A2F1F2 P1P2hhAAWV.A1P1WV.12 ::::131415ooo - , WWW 3taexeiola.blogspot.com - P - : . - , - .FP =A [/m2] = 1 Pascal : - .P = d g h: d: (g/m3)g: (m/s2)h: (m) Pascal (): - - , .P = :P1 = P2 1 21 2F F=A A: -, . : . = W = d g V: d: g: V: . : d > d d < d d = d : = w, H . : . : = . + . = . + d g hAwtaexeiola.blogspot.com ; - . - . F, , .FPA=F: ().: (m2). - ; = . , , . F = ., , , . AF FP =A F: F = P A A: FA =Ptaexeiola.blogspot.com156. ; (S.I.) - () 2m . 2Nm. Pascal, 2N1P 1m= . 1KP ()1KP 1000 = , (1atm). 2cm.4 42 4 2 2 2N N N N1 1 10 1 10 Pcm 10 m m cm= = = ; 2 . -. 2Nm. . : : 2 = , : = r: 2 r =21P 1m=52N1atm 1, 01310m=1KP 1000P1.H F FPA=2. F ( ) ( ).3. . :. F.. - .!taexeiola.blogspot.com157. :. 10KP 22500m. 2N32cm 3200P . , (S.I.) 2m.. 210 101000 10.000m= = 210KP 2.500m> .. 2 4 21cm 10 m42 4 2 2N N N32 32 3210 320.000Pcm 10 m m== = = 232 3200Pcm > . . 220m ; - AB = 30cm = 0, 3mB = 20cm = 0, 2m. . - 2N50m. .. 21A 0, 3m 0, 2m 0, 06m = = :22F NP F P A 20 0, 06m F 1, 2NA m= = = =A BEZFtaexeiola.blogspot.com158.. :22 22 22F F 1, 2NP A 0, 024mNA P50m= = = = ( = 5cm, = 10cm, = 15cm) 2Kg. :. 2N/cm .. 2N/cm .. . . 2g = 10m/s.. 1A 21A 5cm10cm 50cm = = B mg 20N = = , 211BP 0, 4N/ cmA= = .. 2A 22A 15cm5cm 75cm = = 222BP 0, 27N/ cmA= = .. . , . 1 2P P > . . . 10g 20cm, 2N/cm .. 200N - = 4cm. , 2N/cm ;. ;K15cm5cm10cmAB Milkwtaexeiola.blogspot.com159.. 2 w m g 10Kg10m/ s 100N = = = . 20cm = :( )22 2A 20cm 400cm = = = : F w 2 2 w F 100 NP P 0, 25A 400cm cm== = = =. . :2 22 2 2 4cmA r 3,14 (2cm) 12, 56cm2 2 = = = = = : o F w w w 100N 200N 300 = = + = + = . 4 w 300NF F 75N4 4= = = , 22F 75 5, 97N/ cmA 12, 56cm= = = .. : 2 2F 300 5, 97N/ cm 412, 56cm= = =taexeiola.blogspot.com160. 1. : ...................., F .................... .................... . - , .................... , .................... .................... .................... .2. .. 2Nm. 2N m . 2N cm . 2Ncm. P . 2Pm . KP . 3. . . :. .. .. .. . .4. .5. ;6. . ; (2 1w 2w = )w2K2w1K1taexeiola.blogspot.com161.1. 8510 P ; ( 20, 04mm ).2. m 50Kg = 2.500P . ; 2g 10m/ s = .3. Aw 100N = , o . 1 10cm = , 2 30cm = :. 2Nm. 2Nm. .4. 5000g r 15cm = .. ;. 500 300. ; 2g 10m/ s = .taexeiola.blogspot.com162. 1 ; S.I.; 2 1000Kg 20, 3m. , 65g 20, 002m ; ( - 12 ). 3 () ().. .. .. 2P1m. 1 w 50N = 20, 01m . . ; (: w 150 = 2 25cm = ). 2 2 1m 2Kg = 2m 4Kg = . 1 10cm = 2 5cm = . 2 .( 2g 10m/ s = ).taexeiola.blogspot.com ; . ; :. . . . - ; : P g d h :P: 2Nm d: 3kgmg: 2m/ sh: m. - , !To - - . .! ; . taexeiola.blogspot.com164. - , - . . , -, . . - ; . , , - . 100000 P. - ; . - . . ; . . - . 1 m , . . - , - , 76cm - . , . P. A BhP = d g h d:Pd =g h g:Pg =d h h:Ph =d gtaexeiola.blogspot.com165. - , ! - P P 100.000 .! 1atm S.I.2N1atm 101.300m| ` . , P. , . ; 76 cm 760 mm. 760 mmHg 760 Torr. , , :A BB .P P : P P gdh ' PA = P. = g d h (1) d. = 13600 Kg/m3 g = 9,8 m/s2, (1) :. = 13600 g/m3 9,8 m/s2 0,76 m = 101293 P . 101.300 1. .2. :. .. .. .3. : P d g h : P d. g. h.4. .5. .6. Torricelli 4atm 2NP 10,110 1atm 760mmm Hg.taexeiola.blogspot.com166. - , 1h 2h , 21cm 3KP . : 3vd = 1g/cm , 3d = 0, 8g/cm , 2g = 10m/s . S.I.( )33 3v 3210 kgd 1 10 kg / m10 m , ( )3 33 3 6 3 3210 kg 10 kg kgd 0, 8 0, 8 0, 8 1010 m m10 m 3 3 2NP 3kP 3 10 P 3 10m , ( )22 2 4 2A 1cm 1 10 m 10 m : 32v 1 132 3N3 10P mP g d h hm kgg dv10 10s m 21 1N s3 10 3 10 mkg : 2 2PP g d h hg d 12h 3, 75 10 m 2 1h h > , 1h = 10m 2h = 20m. 21cm . v 3gd = 1cm. h : P g d hFPA ' ( )Fg d h F g d h A 1A taexeiola.blogspot.com167. - , ( )22 2 4 2A 1cm 1 10 m 1 10 m , ( )3 33v 3 3 6 3 32g 10 kg 10 kg kgd 1 1 10cm 10 m m10 m (1) 1 1 v 1h : F g d h A 10 N (1) 2 2 v 2h : F g d h A 20 N 2 1F F > . 800 cm, ; .: g = 10 m/s2, d. = 13,6 g/cm3, d = 103 g/m3. h. h = 800 cm = 8 m : P. = g dv hv = 8 10 4N/m2, S.I. : 33 3.3 2 3 3g 10 Kgd 13, 6 13, 6 13, 6 10 Kg / mcm (10 ) m :P. = g d. h. .h 0, 59m ...Ph =g d , . - . h P = 100.500 .: g = 10 m/s2, d = 103 g/m3, P. = 105 , : = = 100.500 , , : = . + . . = . = 100.500 100.000 = 500 = 500 /m2. = g d h . 2Ph 5 10 mg d h = 5 cmtaexeiola.blogspot.com168. - , 1. h v d d > .2. .3. . . h . - , . .d d > .h1h2(A) (B) h1 h2A A h hA A4. . , . ;5. . ;6. : .................... .................... - .................... , ...................., .................... . , .................... .................... , ....................taexeiola.blogspot.com169. - , 1. ( ) h 50cm F 200N . v 3kgd 1000m 2g 10m/ s .2. Ahh2 5 atm.: 2mg 10s , v 3kgd 1000m , 5 2P 1atm 10 N/ m .hhhAA3. 3 104 . 1 atm. = 3,14. (1atm = 100000Pa)4. 4 cm. d. = 13,6 g/cm3, .: g = 10 m/s2, . = 105 /m2.taexeiola.blogspot.com170. - , 1 :. .. - . 2 .................. , ........... ........... . 3 3 , , . .. A B P P P < < . A B P P P > >. A BP P > B P P < 1 5m. 3N. : v 3kgd 1000m ,2mg 10s 21cm . 2 . = 0,85 atm. , ;: d. = 13,6 g/cm3, g = 10 m/s2.h1hABhBhhAtaexeiola.blogspot.com Pascal; . - . - , . 1A ( )2 1 2A A A < . - 1A 1F 1P ( ): 111FPA (1) Pascal , 2 1P P (2). 2F 2A 222FPA (3). (1), (2) (3) : 1 21 2F FA A 22 11 2 12 1AF FA F F >'> A1A2F1F2P1P2taexeiola.blogspot.com172. 2F 1F 2 1 . ; d. - -. -. Pascal - . .. , h - :o P g d h +hPA1. ( Pascal).2. E Pascal ( ,, ).3. h o atm .P P P + atm.P P taexeiola.blogspot.com173. 1500. - - 300; : -2 22 = 2510 m . 2F 1500N . 1P 2P , Pascal, :1 21 2 1 2 1 21 22 22 2 1 212F FP P A F F AA AF A 300 2510 mA 510 mF 1500N 50m. ; 21cm . 3vd = 10 5 3 2 2Kg m , g = 10 , = 10m s m. : vP gd h + + 5 2 3 3 52N10 N/ m 10m/ s10 Kg / m 50m 610m + ( )22 2 4 2A 1cm 10 m 10 m 5 2 4 2 FP F P A 610 N/ m 10 m 60NA .A1A2F1F2 P1P2taexeiola.blogspot.com174. 1. : : .................... .................... .................... .................... .................... .2. :3. H 2atm. 1atm. :. 2atm.. 3atm.. 1atm.4. vd - d . - ; 1. - 1P g d h + 2. P 3. P g d h +ABh1hhhPtaexeiola.blogspot.com175. 1. . - , - 21cm . v 2 3m KgP 1atm, g 10 , d 1000s m 2. . 80cm, 8atm, :. ;. . v 2 3m KgP 1atm, g 10 , d 1000 , 3,14s m 3. . 1 2A 8A . 2F 1F 20N 1A .F1A1A2ABF2taexeiola.blogspot.com176. 1 : ; 2 1 2A A < (- ). ;. 1 2P P > . 1 2F F > . 1 2F F . 1 2P P . 1 2F F < 3 h ; 1 4atm. v 3 2Kg m 1atm, d 1000 , g 10m s . 2 1 2 1A 60A - 1200Kg 2. 1 ; ( 2g 10m/ s ).A1A2F1F2P1P2taexeiola.blogspot.com177. (. 102 - 106)E:1. / / / / / / / / / / .2. . . . . . 3. . 2m4. FPA , F = . - , , . , .5. , F = .6. M P d g h . - .7. P d g h , . - .8. .9. . Pascal.taexeiola.blogspot.com178. AB. A BP P : A B BB AA B A B AB AF F AF FA A A F F A A >'> .10. 1h 10m , 1 1P g d h . , :2 2 22 11 1 1P g d h h 20mP P 10KP 20KPP g d h h 10m 11. : P g d h d d d > > B A P P P > >12. , ( P d g h ). FP F P AA , .13. - .14. FP F P AA .15. . . -. .. , -, . , .16. () . .taexeiola.blogspot.com179. 17. ( ) (- ).18. . 4000m 0,6atm.. ( ) h 0 1atm. , 0,5atm, 5,5Km.. , 0,25atm 11Km.. 10 0,1atm 18Km.FF:1. 2 2 6 2 8 2A 0, 01mm 10 10 m 10 m , 9 98 2 2F 10N NP 10 10 PA 10 m m 2. . 30cm 0, 3m :2 2 22 2 3,14 0, 09mA r 0, 07m2 4 4| ` . , 2oA 4 0, 28m 2 2FP mg 5000Kg10m/ sA P P 178570PA 0, 07mF w mg ' . 2 22 A 0, 00785m2 4| ` . , 2 A 4A A 0, 0314m 2 2 o oF w m g 6000N NP 191.083A A A 0, 0314m m .. 2 4 2 21 1 1m 60Kg, A 1cm 110 m , F w m g 60Kg10m/ s 150N4 4 4 4 2 2F 150 NP 1.500.000A 10 m m . - .taexeiola.blogspot.com180. 3. v 3 2Kg md 1000 , g 10m s Ah 25m 10m 15m . A v A 2NP g d h 150.000m Bh 25m 5m 20m . B v B 2NP g d h 200.000m h = 25m. v 2NP g d h 250.000m h 25m 15m 10m . 2 v P g d h 100.000N/ m 4. . .. v 35 2 2Kgh 6, 8cm 0, 068m, d 1000mm g 10 , P 10s m , B P P vP g d h + + 2 2 2N N N100.000 680 100.680 100.680Pm m m + 5. . 5 2v 3 2Kg mh 10m, d 1000 , g 10 , P 10 N/ mm s : 5 v 2 gd h 10m . 7 F F P 10 A 2 2 2 h 10 m . : 5 5 5 2 2 2 N N 10 10 210m m m + + : 7 o F F 210 A 6. 2 2 2v 3 2Kg m 100cm 10 m , h 3m, d 1000 , g 10m s h 4 v 2N gd h 310m .AEPIOA Bhtaexeiola.blogspot.com181. : 2 F F 310 F ( ) F , 2 F F 310 .7. . : 2 4 2 2 60cm 40cm 2400cm 240010 m 0, 24m :3F P 2410 . .8. - h 76cm . g d h (1) 3 3gr kgd 13, 6 13600cm m , h 76cm 0, 76m ( ) 21 103360m : v v vvP g d h h 10, 336mg d 9. . :2 3 5 2 vP gd h 10m/ s 1000Kg / m 80m 810 N/ m 5 2 4 2 FP F P F 810 N/ m 10 m 80NA . 5 2 P 55 4 410 m + ' + : v max maxvPP g d h h 40mg d 10. 2F 2F 1000N . Pascal :taexeiola.blogspot.com182. 21 2 11 2 1 2 1 1 21 2 2F F A 500cmP P F F F 1000N F 250NA A A 2000cm 11. . : 5 11 5 2 21F 5N N 0, 83310A 610 m m Pascal 52N0, 83310m.. Pascal: 5 2 4 2 22 1 1 2 1 12FP P P F P A 0, 83310 N/ m 1, 810 m 14, 9NA 12. 3 32N6, 5KP 6, 510 P 6, 510m :3 2 2 3P 6, 510 N/ mP g d h h h 0, 61m 61cmg d 10m/ s 1060Kg / m taexeiola.blogspot.com ; - , - , - . - - ( ). -, , ( ) . - . . ; : = d. g V... d.: .g: .V...: . - A = d g V d:Ad =g V V:V =d gtaexeiola.blogspot.com184. - ; , , . . . = w., w.: . = m.. g, m..: . = d. g V... ; d. - d. . :. (w) (), :w > A m.. g > d. g V.. :. . . = d. g V... . - .! - .. ..V = V! , , . w w . mdV| ` . ,!taexeiola.blogspot.com185. - . .. . ..d V g d g V > d. > d. , - .. () (w) , : > w . .. . ..d g V d V g > d. > d. .. (w) (), : = w . .. . ..d g V d V g d. = d. , F. = 0. = w 1. , ( ), . , , , , .2. . , .AwAwAw = 01. ( ) .2. .. d g V 3. , :. () > w () .. < w .. = w .taexeiola.blogspot.com186. - 5 104 m3 d = 1000 Kg/m3. O 3 104 m3. . g = 10 m/s2. , :m d V . .A w g d V m g g d V 3 3 4 3 . 3 4 3d V 10 Kg / m 3 10 md V g d d 600g / mV 5 10 m 400 .. ;. ;: g = 10 m/s2, d = 1000 Kg/m3. : 2A 400N w A m g m mg 10m/ s m = 40 Kg. = d V g 3 2 400NVd g 1000Kg / m 10m/ s 0,04 m3 - . 1500 - 400 . . :g = 10 m/s2, d = 1000 Kg/m3. , :F. = 0 + = w A = w T = 1500 400 = 1100 AwV.wtaexeiola.blogspot.com187. - : 3 2A 1100NA d g V V Vd g 1000Kg / m 10m/ s 0,11 m3 , - 20 . 5 , :. ( , ).. .. : g = 10 m/s2, d = 1000 g/m3. .: w = 20 5 w = 15 . 3 2A 5NA d g V Vd g 1000Kg / m 10m/ s 5 104 m3. :m d V 4 3 2w 20Nw m g w d V g dV g 5 10 m 10m/ s 4000 g/m3wwtaexeiola.blogspot.com188. - 1. :. H .. .. .. , , .2. : .................... , .................... .................... .................... .................... .................... .................... .3. , :. .. .. .4. d.. ;. ;5. . () , () () . , , ;: d = 1000 g/m3, d. = 800 Kg/m3, d. = 1200 g/m3 d = 900 g/m3.6. . . ;7. , , - ;taexeiola.blogspot.com189. - 1. = 50 cm, . 300 150 , :. .. .. .: g = 10 m/s22. 5 Kg m1 = 30 Kg m2 = 40 Kg . :. .. .. m2 , ;.: g = 10 m/s2, d = 1000 g/m33. . :. , 2500 .. 4/5 .. : m = 150 Kg, g = 10 m/s2, d.. = 1020 g/m3taexeiola.blogspot.com190. - 1 , ( ) d d > . () () :i. . > . . 0) 0. , F - x -. W < 0.F FxFFFFxx (W > 0) < (W 0)! , .! - .x F:xWF =x x:Wx =Ftaexeiola.blogspot.com199. F3 F1 F2xF.xw=m gx90o ; F1, F2, F3 F. :F. = F1 + F2 F3 W = F. x, . ; - - - . -, , . - , . x 0 =: W F x F0 0 = = = () ; (xF ) -, :W = Fx xFFyFxxW = 0F . ! - .taexeiola.blogspot.com200. (yF ) - . F; :1 : , : . F (cm). . . xx - . , xx. F, xx Fx. Fx N(Newton).2 : : : = =: yFF= , Fy = F FFyFxxx xxx xFFyFx : - . . . . taexeiola.blogspot.com201. OF(N)F A Bxx(m)WxFF=, Fx = F Fx : W = Fx x.H Fy , . ; - . -, 0. 0 - .1. .2. .3. .4. .taexeiola.blogspot.com202. F = 100N x = 200cm . - . m x. x 200cm 2m = =W F x W 100N 2m W 200J = = = m = 100Kg h = 9m. (g = 10m/s2).Y :2w m g w 100Kg10m/ s w 1000N = = = . F w =, F = 1000 x = h, W F x W 1000N9m W 9000J = = = . x = 10m . (F1 = 50N, F2 = 100N)1 2F 50N, F 100N, w N m g = = = = 1 2 F F F F 50N 100N F 150N = + = + = 1 2F , F FW F x W 150N10m W 1500J = = = . w, N . m = 10Kg F = 100N FxNw = m gF1 F2xtaexeiola.blogspot.com203. t = 10s (g = 10m/s2). N :. .. .. F.. w .. 2 2F 100NF m 10m/ sm 10Kg= = = =. :2 t 10m/ s 10s 100m/ s = = =( )22 21 1x t x 10m/ s 10s x 500m2 2= = =. W F x W 100N500m W 50000J = = =. w . W F W = 1000J x = 10m . F.W 1000JW F x F F F 100Nx 10m= = = = x = 5m. - F = 200N. F Fx Fy. Fx -. x x x1F F F 200N F 100N2= = =xW F x W 100N5m W 500J = = = . m = 10Kg F = 100N T = 50N x = 8m.. F .. .. .. F - , -F FyFxx = 600w = m gF TNw xtaexeiola.blogspot.com204. x = 8m . ( )2g = 10m/s. F F T F 100 50 F 50 = = =. 2w m g w 10Kg10m/ s w 100NN w N 100N= = == =To - .. o o oW F x W 50N8m W 400J = = =. = 8m 50 = 400J, W.OF(N)A50 B8 x(m)Wtaexeiola.blogspot.com205. 1. ;2. ;3. ;4. ;5. . .6. 30 ;7. ; F TNw xtaexeiola.blogspot.com206. 1. F 100N = x 150cm = .2. 1000J x 250cm = , F.3. F = 200N , x 20m = .4. h 600cm = m 15Kg = .5. m 10Kg = 1 2 3F , F , F , .. F. . .. t 5s = .. ( )W .6. 1F m 10Kg = 1 2F , F , 2F 50N = x 5m = W 250J = .FFyFx = 450F = 30N3F = 20N1F = 40N2F = 50N2F1x = 5mtaexeiola.blogspot.com207. 7. m 1Kg = F 20N = - ( )2t 5s g 10m/ s = = . :. .. .. F.. w .8. m 5Kg = F 50N = T 20N = x 500cm = .. F .. .. F - x 500cm = .. F . 2g 10m/ s =T = 20NF = 50Ntaexeiola.blogspot.comtaexeiola.blogspot.com , ; , . ; , .: h , w. To - . M . wh! 1 J (Joule). H .1 J = 1 N 1 mtaexeiola.blogspot.com210. - , ,( ) ; . U, o w h :U = w h w = m g, g m , o :U = m g h: 3 m 2 . :U = w h U = 2N 3m U = 6 J ; ; . . m -, : 21K = m 2 K , m g m/s.: 10 Kg = 3 m/s. ; m:Um =g h h:Uh =m gtaexeiola.blogspot.com211. 2 22 21 1K m K 10Kg (3m/ s)2 21K 10Kg 9m / s2 K = 45J 10 Kg, , = 6 m/s, - :2 22 21 1K m K 10Kg (6m/ s)2 21K 10Kg 36m / s2 K = 180J -, . ; - , :E = U + : h , U = w h U = m g h : 21K m 2 - : = U + K 21E w h m2 + 21E m g h m2 + ; , - - :E = U + = (....) 2:2 K =1m2 m:2Km =12taexeiola.blogspot.com212. ( ) - .( , - ) , h. = UA = m g h (K = 0J = 0m/s) , . = = 21m 2 (U = 0J h = 0m) , h. = U = m g h (K = 0J = 0m/s) - : = = hh = 0m/s 0m/shh = 0m/s 0m/s = 0m/s = 0m/sh : : , .1. . . U m g h 2. 21K m 2| ` . ,3. (U) () (E ) . ( , ) .taexeiola.blogspot.com213. m = 10Kg = 20m/s . .( )22 1 1K m K 10g 20m/ s K 2000J2 2 m = 10 Kg h = 40 m, . :hA = 40 m, hB = 20 m, h = 0 m . . ( )2g = 10m/s : = 0, = 0U = m g h = 10Kg 10m/s2 40m U = 4000 JH : = U + K E = 4000 J + 0 J EA = 4000 J : 20 m, :y = hA hB = 40m 20m = 20 m221 2y 2 20my g t t2 g 10m/ s t = 2sH : = g t = 10m/s2 2s = 20 m/s2 2 2 21 1K m 10g 20 m / s2 2 BK = 2000Jh=40mAh=20mBh = 0 my=20mBABtaexeiola.blogspot.com214. UB = m g hB = 10Kg 10m/s2 20m UB = 2000 JH : = + UB = 2000J + 2000J = 4000 J : 0 m .U = m g h = 10g 10m/s2 0m U = 0y = hA h = 40m 0m = 40 m221 2y 2 40my g t t 8s2 g 10m/ s t = 2 2s = g t = 10m/s2 2 2 s = 20 2 m/s2 2 2 2 1 1K m 10g (20 2) m / s2 2 K = 4000J = + U = 4000 + 0 = 4000 J : = = = 4000J . , m = 5Kg h = 10m = 10m/s . ( )2g = 10m/s .2 U m g h U 5Kg10m/ s 10m U 500J ( )22 1 1K m K 5g 10m/ s 250J2 2 E U E 250J 500J E 750J + + taexeiola.blogspot.com215. 1. ;2. ;3. ;4. .5. . :. .. .. .6. - .7. .8. , ;hAh = 0 A 0U = 0h = 0y = 0taexeiola.blogspot.com216. 1. m 10Kg 1h 20m . 2h 10m . (g = 10m/s2)2. 2Kg 10m/ s .3. 3000J 10Kg . (g = 10m/s2).4. 5000J 100g .5. m 10Kg h = 5m 10m/ s , :. .. .. . (g = 10m/s2).6. m 10Kg