Φυσικη Α΄ Λυκειου Τραπεζα Θεματων με Απαντήσεις

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Μεθοδικό Φροντιστήριο www.methodiko.net Βουλιαγμένης & Κύπρου 2, Αργυρούπολη, Τηλ: 210 99 40 999 Δ. Γούναρη 201, Γλυφάδα, Τηλ: 210 96 36 300 Απαντήσεις – Λύσεις σε Θέματα από την Τράπεζα Θεμάτων Μάθημα: Φυσική Α΄ Λυκείου Στο παρών παρουσιάζουμε συνοπτικές λύσεις σε επιλεγμένα Θέματα («Θέμα 2 ο, 4 ο ») από την Τράπεζα θεμάτων. Το αρχείο αυτό τις επόμενες ημέρες σταδιακά θα εμπλουτίζεται. Στις σελίδες που ακολουθούν παρουσιάζονται οι εκφωνήσεις των θεμάτων – όπως δημοσιεύτηκαν και οι απαντήσεις τους.

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Φυσικη Α΄ Λυκειου

Transcript of Φυσικη Α΄ Λυκειου Τραπεζα Θεματων με Απαντήσεις

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    :

    ( 2, 4) .

    .

    .

  • 1. H, - .

    ) . (K) (y) , :

    ) ) )

    4 ) .

    8

    2. m - F, = 2g, g -.

    ) :

    ) F ) 3F ) F3

    4

    ) .

    9

    F

    K

    0 y

    ()

    0

    K

    H y

    ()

    K

    0 yH

    ()

    Iro Markaki 1

  • mA = 5 kg mB = 10 kg, x. t = 0 s xo = 0 m, . = 10 m/s, = 30 m/s, -

    = 2 m/s2 .

    :

    1) , 5

    2) t,

    6 3) ,

    8 4) to = 0 s, .

    6

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    1

    - :

    1.

    : )

    . 2.

    : )

    : = = = 2 = 2 =

    - :

    1. ... : = 0. : = = 20 / 2. : = = 10 = 30

    2 0 = 20 0 = t(20 t) = 20 .

    3. : = = 30 2 = 10 = 10. 4. : = 0 . : =

    = 5 10 5 30 = 500 4500 = 4000.

  • 1. m . h .

    ) .

    :

    ) mgh ) 0 ) 2mgh 4

    ) .

    8

    2. .

    .

    ) .

    0 s - 30 s :

    ) +300 m ) +600 m ) 300 m 4

    B) . 9

    Iro Markaki 2

  • m = 2 kg = 0,5. t = 0 s, F

    & 30 N t = 3 s, -

    F&. g = 10 m/s2.

    .

    :

    1) , 6

    2) F , 6

    3) , 6

    4) t = 0 s .

    7

    m F

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    2

    - :

    1.

    : ) 0

    , . 2.

    : )

    : 0 10 : = = 30 10 = 300 . : 10 20 , . 20 30 , ( ) . , : + = = 300 .

    - :

    1) : = = 0,5 = 0,5 2 10 = 10 2) : = = 20 = 2 = 10 / =

    =

    10 9 = 45 .

    = = 40 45 = 1350 . 3) : = = 10 = 2 =

    . : = = 30 /. : = = 6 . 4) : =

    =

    = 90

    . , : + = 135 .

    = 0

  • 1. x

    x = 6t (SI) x = 2t2 (SI) . ) .

    , :

    ) t = 2 s ) t = 1,5 s ) t = 3 s 4

    ) . 8

    2. . F :

    ) .

    H

    ) x0 = 0 m x . ) x x . ) x0 = 0 m x .

    4 ) .

    9

    0 x

    F

    Ax Bx

    Iro Markaki 3

  • , . F

    &

    . to = 0 s 2 m/s t1 = 2 s 12 m/s. ( F

    &), 2 s

    = 98 W. , = 0,2. g = 10 m/s2 .

    :

    1) ,

    5

    2) F&

    2 s,

    6

    3) F&

    .

    7

    4) .

    7

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    3

    - :

    1. : ) = ,

    = 6 / = 4 /. : = = 4. : = 6 = 4 = 1,5 . 2. : ) = .

    , . , . , ( ) ( ). = 0 .

    - :

    1) , : = + = = = 5 2) : = = 98 2 = 196 . 3) : = +

    12 = 2 2 +

    12 5 4 = 4 + 10 = 14m

    : = = = 14 . 4) : = = 0,2 = 2 = = 14 2 = 5 = 2.

    = 2 / = 12 /

    = 0 = 2

  • B 1. xx t = 0 s x0 = 0 m.

    .

    ) .

    t = 30 s

    ) 125 m ) 100 m ) 75 m 4

    ) .

    8

    2. .

    . 2.

    )

    :

    ) 3 ) 2 ) 4 4

    )

    9

    t s0 10

    sm /X

    10

    20

    -5

    25 30

    Iro Markaki 4

  • m = 10 kg, , t0 = 0 s 1F

    & 20 .

    1) t0 = 0 s t1 = 10 s. 6

    2) 1F&

    .

    6

    t0 = 0 s 1F&

    2F&

    1F&, .

    3)

    1F&

    2F&

    . 5

    4) 1F&

    t0 = 0 s t1 = 10 s

    1F&

    2F&

    .

    2.

    8

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    4

    - :

    1. : ) =

    , , . : = = 20 10 = 100 = =

    (30 20) 5 = 25 .

    : = = 75 2. : )

    (....): + = 0 = =

    12

    12(2) = 3

    12 = 3

    - :

    1) 2 .: = = = 2 /. ,

    = 0 = 10 : = = 2 10 = 100 2) : = = 20 100 = 2000 . , : 3) = + = = 4/ ,

    = 0 = 10 : = = 4 10 = 200 4) : = = 20 200 = 4000 . : = 2 .

  • B 1. 1, 2 1 2 ,

    .

    ) 1 2.

    5 ) , 1 2 .

    7

    2. 1, d1 . , 2 = 21, d2.

    ) . ,

    :

    ) d2 = 2d1 ) d2 = 3d1 ) d2 = 4d1 4

    ) . 9

    1

    2

    Iro Markaki 5

  • m = 50 kg . to = 0 s , .

    . F = 200 - F = 50 . t1, 2m , , -

    .

    = 0,4 -

    g = 10 m/s2. 1) .

    6 2) t1 .

    6 3) to = 0 s t2 = 4 s.

    7 4) , , to = 0 s t1, .

    6

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    5

    - :

    1. . : 1: = 0 = + 2: = 0 = : = = +

    2.

    : ) =

    . : 0 = =

    : =

    12 =

    12

    =

    12

    =

    2

    , = 2, : =

    2=4

    2= 4

    - :

    1) : = , . : = = 0,4 = 0,4 500 = 200 2) 2 . : = , . : + = 250 200 = 50 = 1 / : =

    12

    2

    = 4 = : = 2 .

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    3) = 0 = . , .. . : = = 2/ ( ). 4) :

    = = 200 2 = 400 :

    =

    = = 200 2 = 400

    2

    = 0

    ()

    (/)

    2 4 2

  • B 1. , h, h .

    ) . t = 2t, h h :

    ) hA = 2hB ) hA = 4hB ) hA = 8hB 4

    ) .

    8

    2. ,

    a , - .

    -

    .

    ) . :

    ) F1+F2=2mg ) F1-F2=mg ) F1+F2=mg 4

    ) .

    9

    m

    gm&

    1F&

    a&m

    gm&

    2F&

    a&

    Iro Markaki 6

  • m = 2 kg . t = 0 s,

    F = 10 + 2x (SI). x = 0 m t = 0 s - x. F 50 . 0,4. -

    g=10m/s2 .

    :

    1) .

    5 2) x = 10 m.

    7 3) F x = 0 m F .

    7 4) t = 0 s .

    6

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    6

    - :

    1. : ) = : =

    , : = = = 2 .

    , : = 4 . 2. : ) + = 2 .. : = (1), : = (2) (1) (2) : ( ) ( ) = 0 + = 2 - :

    1) , : = : = = 0,4 20 = 8 2) = 10 : = 30 . : = = 22 = 2 = 11 / , : = 11 /. 3) H : = 10 + 2 50 = 10 + 2 = 20 , . , : = 20 = 600 4) ... =0 . = 0 = 600 8 =

    6008

    = 75

    ()

    ()

    20 0

    50 10

  • B1. m = 500 g . F

    & 10 N.

    ) . ,

    :

    ) 20 m/s2 ) 2 m/s2 ) 0,2 m/s2 4

    ) .

    8

    B2.

    .

    ) . F

    x = 0 m x = 2 m :

    ) 40 J ) 20 J ) 80 J

    4

    ) .

    9

    0 x(m )

    F( )

    1 2

    20

    10

    Iro Markaki 7

  • . 1) , 2) ,

    3) , 4) , 5)

    .

    ( ) , m = 2 kg. ( ) (), F

    &

    . F = 4 N

    1 m 4 s.

    ( ) .

    9 m.

    g = 10 m/s2 .. :

    1) , ,

    6 2) , ( ),

    6 3) ,

    7 4) .

    6

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    7

    - :

    1. : ) / , ( = =10 ). , : = =

    2

    =2 10 10

    0,5= 20 /

    2. : ) ,

    . : = = 2 20 = 20

    - :

    1) (), : = 0 = 0 = = 4 . 4 : =

    =

    = 0,25 /

    : = = = 0,2,

    = 0,2. 2) ( ) : = = 4 0,25 = 1 3) (): 9. , : = = =

    =

    = 2 /.

    : =

    2 = 2 = 6 /

    4) , : = = = 3 .... : = 0

    = =

    2 6 = 36 . :

    . =

    = 363= 12

  • B 1. , , .

    ) . ,

    , , .

    (J) (J) (J)

    80 100

    40

    10

    4

    ) .

    8

    2. F

    g2 , g .

    ) .

    , F F .

    ) F = 2 ) F = 2 ) F =

    4

    ) .

    9

    Iro Markaki 8

  • .

    1) 1 2 0 s 4 s

    8 s 10 s .

    5 2) ,

    t = 0 s t = 10 s. 6

    3) 0 s 10 s. 7

    4) 1 2 t1 = 2 s

    t2 = 9 s , 12

    KK .

    7

    (m/s)

    t (s) 4 8 10

    10

    20

    0

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    8

    1. . = + . , , . : 2. : ) =

    . , 2 : = =

    2 =

    2

    =2

    - : 1) :

    0 4 sec : =

    =104= 2,5 /

    8 10 sec : =

    =102= 5 /

    .

    2) 4 10 s , .

    (J) (J) (J) 20 80 100 40 60 100 90 10 100

    ()

    (/)

    4 8 2,5

    10

    5

    ()

    (/)

    4 8 10

    10

    20

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    3) . . :

    = + + =12 4 10 + (8 4) 10 +

    10 + 202

    2 = 20 + 40 + 30 = 90 :

    =

    =9010

    = 9 /

    4) = 2 : = = 5/ = 9 : = + = 10 + 5 = 15/ , :

    =12

    12

    =

    =

    515

    =13

    =19

  • 1) , () () - 25 km/h. - t = 0 . - .

    ) , . 25 km/h, : ) ) ) , 25 km/h

    4 ) .

    8 2) 1 2 1 2 .

    ) , .

    1 = 22, 12

    KK

    1 2, : ) 4 ) 4 ) 2

    4 ) .

    9 1 2 m1 = 3 kg m2 = 5 kg , = 0,5. - , . t = 0 1 F - , = = 1 m/s2. 1) .

    6 2) 2 - .

    6 3) 1, - t = 0 t1 = 4 s.

    6

    F2. 1.

    $%

    t

    Iro Markaki 9

  • 4) , - 1.

    7 g = 10 m/s2.

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    9

    1. : )

    . , 25km/h. 2. : ) 4

    : = = = 2. , :

    =12

    12

    =

    =

    2

    = 4

    - :

    1) = 0 : = = . = = 15 = = 25 . 2) , (1) , , (2) . () : = 15 = 3 (1) , () : = 25 = 5 (2) (1) (2) : 40 = 8 = 48 = 1/. (1) : 48 15 = 3 33 = 3 = 30.

    3) : : =

    =

    1 16 = 8 . : = = 30 8 = 240

    4) : = = 48 8 = 384 : = = 15 8 = 120 ... : = = 384 120 240 = 24 :

    100% =24384

    100% =116

    100% = 6,25%

  • 1) . .

    ) . : ) . ) )

    4 ) .

    8

    2) h . .

    ) . 2h, : ) 2 ) 4 ) 2

    4 ) .

    9 120 kg , xx.. F - t = 0, xo = 25 m, . - = 0,2 g = 10 m/s2. 1) F , , 0 o 5 s.

    6 2) F ( F ), - t1 = 3 s.

    6 3) t2 = 10 s.

    6 4) F , 4 .

    7 g = 10 m/s2.

    x

    t1t

    1x

    0 5 10

    20

    (s)t

    (m/s)

    15

    10

    Iro Markaki 10

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    10

    1. : )

    . , . . . 2. : )

    : = = 2 : =

    2 2 =

    2 2

    2=

    2 = 2 = 2

    - :

    1) = 0 = 4 , : = 0 = = = = 0,2 1200 = 240 2) ( ) : =

    = = 240 10 = 2400

    3) . : = + = 10 5 +

    (20 + 10)2

    5

    = 50 + 75 = 125 : = = + = 125 25 = 100

    4) 4 sec = = 10 : = = 240 10 = 2400

    ()

    (/)

    5 10

    10

    20

    15

  • 1) m () F , .

    ) . 2m, -:

    ) 2 ) 3 ) 2a

    4 ) .

    8 2) 1 , H , . - ,

    , 2Hh

    . - .

    ) . : ) . ) .. ) .

    4 ) .

    9 1 2 40 kg -, -. t = 0 1 - 2 40 m/s, - 1. . 1) - 1 .

    6 2) , t1, , t2 = 15s.

    6 3) t1.

    6 4) t = 0, - .

    7

    0 1t

    60

    (s)t

    (m/s)

    15

    40

    1

    2

    Iro Markaki 11

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    11

    1. : )

    : = = . A

    . : = 2 =

    12 =

    12

    2. : ) .

    : 0 = : = = = : 0 + = + = , . - :

    1) () : =

    = 4/ , : = = 160 . 2) () =15 :

    =12 0 =

    12 40 3600 = 72.000

    () : = 0 . 3) : =

    = 450 = 40 15 = 600 . , : = | | = 150 ( .) 4) = 15 () = 15 . : = . 40 = 450 + 60( 15) 40 = 450 + 60 900 450 = 20 =

    = 22,5 22,5 .

  • 1) . .

    ) . : ) . ) )

    4 ) .

    8 2) () () - . - .

    ) . () (), - , : ) () ) () ) , .

    4 ) .

    9 1 2 m1 = 6 kg m2 = 4 kg , 2 1. t = 0 1 F - . , . 1 30 g = 10 m/s2. 1) F .

    5 2) F , - 120 m.

    6 3) 1 .

    6 4) t1 2, F 1 10 m/s. 1, t2 = t1 + 5 s.

    8

    x

    t1t

    1x

    F1626

    Iro Markaki 12

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    12

    B1. : )

    . , . . . B2. : ) , . : = ,

    = , ,

    : =,

    : = , . : =

    ,

    . , > , > .

    - : 1) : = 0 = = 30 . 2) = 120 . : = = 30 120 = 3600 3) : + = (1) : = : = (1) : + = = ( + ) = 100 = =

    = 0,3 4) : = 10/ . : = = = 0,3 60 = 18 = = 12 = 6 = 2/ , : = + , = , . , = + 5 = 5 : = 10 + 2 5 = 20 / : =

    =

    6 400 = 1.200

  • 1) , t = 0 - .

    ) . t1 1, - t2 = 2t1 : ) 21 ) 41 ) 1

    2

    4 ) .

    8 2) () m 1,2 m ( 1). 4 m ( 2).

    ) . W1 W2 (1) (2) , : ) W1 = W2 ) W1 < W2 ) W1 > W2

    4 ) .

    9 900 kg - , - xx. to = 0, , xo = + 25 m. - , t = 0 t4 = 25 s. 1) .

    5 2) , t = 0 t1 = 5 s.

    6 3) t2 = 15 s t4 = 25 s.

    6 4) , - t = 0 t4 = 25 s.

    8

    0

    20

    (s)t

    (m/s)

    15

    10

    20 255

    20

    Iro Markaki 13

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    13

    1. : )

    : = , : = : = = 2 = 2. 2. : ) <

    ( < 0) ( = 0).

    - : : = 20 15 = 5 , . = 20 . 2) 0 5 , : =

    =

    = 2 / : = = 1800

    3) . 0 15 : =

    20 + 102

    5 + 20 10 = 275 : = = 25 + 275 = 300 15 20 : = = = 50 20 25 : = =

    = 50. ,

    ( = = 300 ) . , , . , 15 25 . 4) .... : = = = 900 [(20) 10] =

    12 900 (400 100) =

    12 900 300 = 135000 .

    ()

    (/)

    5 15 10 20

    25 20

    20

  • 1) 1 , H , . . , . - - .

    ) . : ) . ) . ) .

    4 ) .

    8 2) , 1 2 , .

    ) . t = 0 t1, - 1, : ) 2. ) 2. ) 2.

    4 ) .

    9 8 kg . t = 0 F , - xx. - x , 100 20F x , ( F x m) . x = 0 30 . 1) F .

    5 2) F , t = 0, .

    6 3) F .

    6 4) , - F .

    8

    t1t

    1

    1

    2

    0

    12

    Iro Markaki 14

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    14 :

    1. : ) .

    , . , .

    2. : ) .

    , : . : =

    = 2 = 2

    - :

    1) : = 0 100 20 = 0 = 5 . 2) , . =

    100 5 = 250

    3) ... = 5 : =

    12 0 = 250 30 5 4

    = 100 = 5/ 4) . = 30 30 = 100 20 20 = 70 = 3,5 . = 5 = = 1,5 .

    ()

    (/)

    2

    ()

    () 100

    5

  • 1) - , - xx. - .

    ) . : ) 140 m ) 60 m ) 40 m

    4 ) .

    8

    2) F . x, .

    ) . 4F x, : ) 2 ) 4 )

    2

    4 ) .

    9 m = 20 kg, . to = 0 1 2, F F 3F . 1 2, F F , - 35 45 , , 3F , - . 1 2, F F , - t1 = 6 s 45 m. : 1) 0 o t1.

    6 2) 3F .

    6 t1, . . to = 0, t2 = 10 s, - 137 m. 3) .

    8 4) 0 o t2.

    5

    t s0

    x m

    5 10 15 18

    50

    40

    Iro Markaki 15

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    15 :

    1. : )

    = 0 = 15 = 0. = 18 =40 . : = = 40 0 = 40 2. : )

    , .... : =

    12 0 = =

    2

    = 12 0 = 4 =

    2 4

    : = 4 = 2. - :

    1) : = 45 =

    36 =

    = 2,5 /

    2) : = 35 + 45 = 20 80 = 50 = 30 3) = 6 = 10 : = 137 45 = 92 . : = = 2,5 6 = 15 / : = +

    92 = 15 4 +

    16 92 60 = 8 = 4 /

    , : = = 80 = + . 4) : = + = 15 + 16 = 31 / ... : = =

    12 20 31 0 = 10 961 = 9610

    45

  • 1) , - . , - , .

    ) . g , : ) MgH. ) MgH. ) MgH.

    4 ) .

    8 2) - -, .

    ) . s s, , 10 to , : ) As s% ) 2s s$ ) A 2s s%

    4 ) .

    9 1 2 , m1 = 15 kg m2 = 25 kg . - l = 2 m, - . t = 0 1 F 2 m/s2, . - = 0,4. 1) ..

    6 2) 2 2 .

    6 3) F , t = 0 t1 = 4 s.

    6 4) t1 = 4 s , F . - 1 2, t2 = 7 s.

    7 g = 10 m/s2.

    F26 16

    t1t

    1

    A

    0

    Iro Markaki 16

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    15 :

    1. : ) .

    . , . ( : = + = 0 + = ). , , . . 2. : ) = .

    : =

    , : = .

    : =

    = = . , = . = : = = 2. - :

    1) : = = = 150 = = = 250 . : = = 0,4 150 = 60 = = 0,4 250 = 100 2) () : = = + = 100 + 25 2 = 150 . , 150 . 3) = 0 = 4 . : =

    =

    2 16 = 16 .

    () : = = 150 + 60 + 15 0,4 = 216 . : = = 216 16 = 3456

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    4) () . : = 216 60 = 15 =

    = 10,4 / = = 8 /. () = 4 = 7 : = +

    = 8 3 +

    10,4 9 = 70,8 (1), = 7 4 = 3 .

    () = = = 4/ : =

    (2)

    (2) . . : = , . = 0 : = = = 2 . 6 s : =

    = 8 2

    4 2 = 8 T : = + = 2 + 70,8 8 = 64,8 .

    : !

    = = s

    =