Φυσική Α Λυκείου...

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Transcript of Φυσική Α Λυκείου...

  • ISBN 978-960-06-4826-3

    : 0-22-0222

  • 22-0036-IEP.indd 1 23/5/2014 4:19:45

  • & , - / & / .

    .

    ,

    -.

    , ,

    4. ,

    . , ,

    . , -

    .

    , , , 3 .

    , , 2 . .

    (), -

    . , , .

    . , . , -

    . , , 1 -

    . , . ,

    .

    , ,

    .

    ..

    ATLIER: ART CHOICE/ / : Atlier: : : : . : -

    - - -.

    22-0036-IEP.indd 2 23/5/2014 4:19:45

  • . . .

    . EM. .

    22-0036-IEP.indd 3 23/5/2014 4:19:45

  • 22-0036-IEP.indd 4 23/5/2014 4:19:45

  • : , , , , , -, 2010, :I. , I. , . , . , . . .

    22-0036-IEP.indd 5 23/5/2014 4:19:45

  • 22-0036-IEP.indd 6 23/5/2014 4:19:45

  • 1.1

    1. , :

    st

    =

    120 m / s

    4 = = 30m/s.

    :

    2. t, :

    st+

    =

    st +=

    1.980 20t s

    10+

    = t = 200s

    3. A. To - :

    1 2S E E= + S 10 10m 20 20m= + S 500m= .

    . st

    =

    504

    = 12,5m =

    22-0036-IEP.indd 7 23/5/2014 4:19:45

  • 8

    .

    4. .

    (A): 1xt

    = 1x t= (1)

    (): 2s x

    t

    = 2s x t = (2)

    (1) (2) :

    1 2x s x t t+ = + ( )1 2s t= + 1 2

    s 1.000t s10 15

    = = + +

    t 40s=

    1

    x :

    1x t= x 10 40m= x 400m.=. :

    22-0036-IEP.indd 8 23/5/2014 4:19:46

  • 9

    5. . t, - :

    S t = S t = . :

    ( )S S t = d ( )t =

    d 500t s

    30 20 = =

    t 50s=

    . : S t 30 50m = = S 1.500m. =

    6. x = 10t x = t , = 10m/s.

    :

    : s = t = 105m s = 50m, .

    7. . 0 = 0 :

    = t = 215m/s = 30m/s.. :

    2 21 1s t 2 15 m2 2

    = = s = 225m.

    8. A. .

    : 1s E 10 20m2

    = = s = 100m.

    . , ,

    220 m / st 10

    = =

    22m / s . =

    22-0036-IEP.indd 9 23/5/2014 4:19:46

  • 10

    s :

    2 2 2 22 1 2 1

    1 1 1 1s s s t t 2 2 m 2 1 m2 2 2 2

    = = = s 3m= .

    9. A. To .

    : 30 10s 20m

    2+

    = s = 400m.

    . : s 400 m / st 30

    = = 40 m / s.3

    =

    10. = 8 + 2t = 0

    + t,

    0 = 8m/s = 2m/s2.

    :2 2

    4 2 0 4 4 0 2 21 1s s s t t t t2 2

    = = +

    ( ) ( )2 20 4 2 4 21s t t t t2= + ( ) ( )1s 8 4 2 2 16 4 m2

    = +

    s = 28m

    11.

    A. - = f(t) . - t = 6s = 30m/s.

    . () 10s .

    : 11s 10 50m2

    = s1 = 250m.

    22-0036-IEP.indd 10 23/5/2014 4:19:46

  • 11

    () 10s . : s

    2=1030m s

    2= 300m.

    () () t = 10s s = 300m 250m s = 50m.

    . t . , :

    ( )t t 1050 30t

    2+

    = 10t 50 = 6t t = 12,5s.

    12. -

    .

    :t = + 30 10= + ()

    21t t2

    = + 1200 10 1002

    = + ()

    () ()

    .

    () : = 30 10 ()

    () :200 = (30 10)10 + 50 = 2m/s2.

    () : ( )30 10 2 m / s = A 10m / s. =

    13. 0,7s 0

    , 1 0 1s t 20 0,7m= = 1s 14m.= s = (50 14)m s = 36m.

    :2 2

    0max

    20s m2 2 10

    = =

    maxs 20m.=

    smax

    < s .

    14. ( )s m.+ - = 2m/s2,

    0 = 20m/s.

    : ( ) 201s t t2

    + = + 2170 55 20t 2t .2

    + = +

    22-0036-IEP.indd 11 23/5/2014 4:19:46

  • 12

    t1 = 25s

    t2 = 5s .

    15. . . : 1 2x x=

    210t 4t= 4t 10= t 2,5s.=. -

    1=10m/s,

    0 = 0 = 8m/s2.

    :

    16. . 11s

    1 9 6S 3 9 5 9 3 m2 2

    + = + +

    S 81m. =

    :

    S 81m / st 11 = = 7,36m / s. =

    . 3s

    21

    9 0 m / st 3

    = =

    21 3m / s = , 3s -

    223 m / s

    t 3

    = =

    22 1m / s . =

    17. . :

    0 t = 0

    0 t2

    = 5 = 10 2t t = 2,5s

    22-0036-IEP.indd 12 23/5/2014 4:19:47

  • 13

    201s t t2

    = 21s 10 2,5 2 2,5 m2

    =

    s 18,75m.=

    . 0 t = = 0

    : 00 t= 0 10t s

    2

    = =

    t 5s.=

    () :2 2

    0max

    10s m2 2 2

    = =

    maxs 25m.=

    18. . ts, - (t 4)s . :

    2

    11s t2

    = ( )221s t 4 .2

    =

    s s = , :

    ( )221 21 1t t 42 2 = ( )2 21,6t 2,5 t 16 8t= +

    t = 20s 4 s

    1,8

    4s.

    21s s s 1,6 20 m2

    = = =

    s = 320m.

    . :

    =

    1t = l,620m/s

    =32m/s

    =

    2(t 4) = 2,5(20 4)m/s

    = 40m/s.

    16m / s. = : s 320 m / st 20

    = = 16m / s. =

    . = f(t) s = f(t) :

    22-0036-IEP.indd 13 23/5/2014 4:19:47

  • 14

    19. . : 0 t 5s

    0= 10m/s.

    : 5s < t 15s

    = 20m/s. : 15s < t 20s -

    21 4m / st

    = =

    .

    -

    22 4m / s .t

    = =

    . 0 t 5s :

    2 21

    1 A

    20 10 m / s 2m / st t t 5 0

    = = = =

    .

    . .

    ( )10 20 1 1s 5 10 20 20 5 5 20 m 75 200 50 50 m 375m2 2 2+ = + + + = + + + =

    :x = (75 + 200 + 50 50)m x = 25m. .

    . : s 375 m / st 25

    = = 15m / s. =

    22-0036-IEP.indd 14 23/5/2014 4:19:47

  • 1.2

    1. :

    ( )1 2F F F 80 60= + = + F 140N= .

    : ( )1 2F F F 80 60= = F 20 .=

    2. F :

    F = (20 + 10) 5 F = 25N F = 20 (10 + 5) F = 5 F = (20 + 10 + 5) F = 35

    3. . -

    1 2F F F .= +

    2 2F 4F F= + 2F 2= 1 2F 4F= 1F 8N.= - .

    . -

    1 2F F F .= 2 2F 3F F= 2F 5N= 1 2F 3F= 1F 15= . .

    4. . Hooke : F = Kx. x = 20cm F = 80N :

    80 = 20cm 80 NK20 cm

    = K Ncm

    = 4 .

    22-0036-IEP.indd 15 23/5/2014 4:19:48

  • 16

    , = x - :

    (cm) 5 8 10 15 20

    () 20 32 40 60 80

    . :

    . -

    : 20N 4N / cm5cm

    = = =

    ,

    .

    5. , = 0, - F = m, F = 0. - F

    3

    F2, :

    1 2 3F F F 0 = ( )3 1 2F F F 22 7 N= = 3F 15N.=

    6. , - F, F . : F B = 0 F = B F = 200 .

    7. F F = 20N , . , - .

    22-0036-IEP.indd 16 23/5/2014 4:19:48

  • 17

    8. t

    =

    :

    2 25 m / s 2,5m / s2

    = = .

    : F = m = 102,5N F = 25.

    9. = 4t = t = 4m/s2. :

    F = m = 14 F = 4.

    10. :

    214 10 m / st 2

    = =

    22m / s . =

    : F = m = 102N F = 20N.

    11. . :

    211

    1

    F 4 m / sm 1

    = = 21 4m / s =

    222

    2

    F 15 m / sm 3

    = = 22 5m / s . =

    . 18m t S

    1 S

    2 :

    ( )2 1S S 18 10 m = 2 1S S 8m = . :2 2

    2 11 1t t 82 2 = 2 2

    1 15t 4t 82 2

    =

    2 22,5t 2t 8 = 2t 16= t 4s.=

    12. . 211F 20 m / sm 20

    = =

    21 1m / s = t1, 0

    s1. :

    21 1 1

    1s t2

    = 21 11s t2

    = ()

    0 1 1t = 0 1t = ()

    22-0036-IEP.indd 17 23/5/2014 4:19:48

  • 18

    222

    F 5 m / sm 20

    = = 22 0, 25m / s =

    0 12

    2 2

    tt

    = =

    ()

    2 2

    0 12

    2 2

    ts

    2 2

    = =

    ()

    1 2s s s+ = 2

    2 11

    2

    t1 t s2 2

    + =

    2 21 1

    1 t 2t 402

    + = 1t 4s.=

    F2

    2 21 1

    1 1s t 4 s2 2

    = = 1s 8m.=

    . :

    11 2 1

    2

    t 4t t t t 4 s0,25

    = + = + = +

    t 20s. =

    13. . :

    21s t2

    = 222s 48 m / s

    16t = = 23m / s . =

    . F m= 1 2 3F F F F = + -: F F F m1 2 3+ = 36 2 F 1 3+ = 3F 5N.=

    14. 1 2F F F 40 20 = = F 20 . =

    F = m m = 200,3

    kg.

    :

    F m = 2F 40 m / s20m0,3

    = = 20,6m / s . =

    , - .

    22-0036-IEP.indd 18 23/5/2014 4:19:49

  • 19

    15. :

    21h gt2

    = 22htg

    = 2htg

    =

    t = 2s.

    16. t, :

    21h gt2

    = 2htg

    = t = 6s.

    t :

    t = t t t = (6 l)s = 5s.

    2 21 1h gt 10 5 m2 2

    = = h = 125m.

    h :h = h h = (180 125)m h = 55m.

    17. A. :

    F = m 4

    2 2F 2 10 m / s 5m / s .m 4.000

    = = =

    :2

    0s2

    =

    20 2 s = 0 2 s =

    0 = 20m/s.

    . :

    0 20t s5

    = =

    t s = 4 .

    . :

    22-0036-IEP.indd 19 23/5/2014 4:19:49

  • 20

    18. . t. :

    21h gt2

    = 2htg