fysikh b'gymnasioy

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    :

    '

    :

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    2

    1: ................................................................................................................ 3

    1.1 ..................................................................... 3

    1.2 ....................................................................................................... 3

    1.3 ................................................................................ 4 ............................................................................................................... 7

    :............................................................................................................. 10

    2: ................................................................................................................ 12

    2.1 ....................................................................................................... 122.2 ...................................................................................................... 17

    2.3 ............................................................................................. 20

    2.4 ................................................................................. 24:.................................................................................................................................. 27

    : 3 ......................................................................................................................... 29

    3.1 H ......................................................................................................... 293.2 ................................................................................ 32

    3.3 ........................................................................................ 35

    3.4 ....................................................................................................... 40

    3.5 ( )............................................... 413.6 ................................................................................. 42

    3.7 ................................................................................................ 44

    4: ................................................................................................................... 47

    4.1 ................................................................................................................................... 47

    4.2 ............................................................................................................. 48

    4.3 ........................................................................................................... 50

    4.4 ................................................................................... 514.5 - ............................................................................................. 53

    4.6 ................................................................................................................................ 55

    5: ............................................................................................................... 56

    5.1 ............................................................................................................... 56

    5.2 . ......................................... 58

    5.3 ......................................................................... 60

    5.4 ..................................................................................... 615.5 .................................................................................................... 62

    5.6 .................................................................................................................. 62

    5.7 ....................................................................................................... 63

    5.8 .................................................................................................................................... 64

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    3

    1:

    1.1

    1.2

    .

    .

    .

    .

    , ,

    .

    .

    .

    :

    . : .. :

    .

    . ,

    .

    .

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    4

    1.3

    . .. , , ..

    .

    .

    .

    .

    , ..

    .

    .. , , .

    . .. m, s, kg.

    ,

    . .

    .. = ,

    = .

    ( l d s length distance space

    ):

    m(meter).

    1km = 1000m.

    :

    1dm =10

    1m = 10

    -1m 1m = 10 dm, 1cm =

    100

    1m = 10

    -2m 1m = 100 cm,

    1mm =1000

    1m = 10

    -3m 1m = 1000mm.

    .

    ( t time ):

    (second

    s).

    1min = 60s 1h = 60min = 3600s.

    1ms =1000

    1s = 10

    -3s .

    .

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    ( m mass ):

    .

    (kg).

    1tn = 1000kg.

    1g =1000

    1 kg = 10-3kg 1kg = 1000g

    1mg =1000

    1g =10

    -3g =

    1000000

    1kg = 10

    -6kg

    .

    ( A S area space ):

    (m2).

    :

    1km2= 1000000 m

    2, 1 = 1 000m

    2

    :

    1dm2=100

    1m

    2= 10

    -2m

    2, 1cm

    2=

    10000

    1m

    2= 10

    -4m

    2, 1mm

    2=

    1000000

    1m

    2= 10

    -6m

    2,

    ( V volume ):

    .

    (m

    3

    ). :

    1dm3=1000

    1m

    3= 10

    -3m

    3, 1cm

    3=

    1000000

    1m

    3= 10

    -6m

    3 , 1mm

    3=

    1000000000

    1m

    3= 10

    -9m

    3,

    :

    1L = 1dm3, 1mL = 1cm

    3

    1L = 1000 mL 1mL=1000

    1L = 10

    -3L , 1L =

    1000

    1m

    3= 10

    -3m

    3 1m

    3= 1000 L

    ( d density ):

    (..

    ,

    )

    1m3 .

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    6

    .. 1m3 1000kg, 1000

    3m

    kg

    1m3 300kg, 300

    3m

    kg

    1m3 700kg, 7003

    mkg

    1m3 7800kg, 7800

    3m

    kg

    ,

    .

    V

    m .

    (kg) (m3),

    (3m

    kg) (

    3m

    kg

    ).

    : 13

    cm

    g= 1000

    3m

    kg, 1

    3m

    kg=1000

    1

    3cm

    g

    .

    .

    : 4m3

    3400kg, 1m3,

    ;

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    1. ,

    .

    :

    oC

    36.5 37 37 36.5

    1 2 5 6 7

    :

    ........................ .

    ........................ ....................... .

    .................. .......................... .................... .

    ..................... ................. .

    ....................... .

    :

    ( ,

    ).

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    2. ,

    .

    .

    : .

    :

    1. .

    2. ()

    .

    .

    cm ,

    cm

    .

    3.

    ,

    .

    ( C) 24 25 25,5 26 26 26 26 26

    9 10 11 12 13 14 15 16

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    3. , ( 0,10 ).

    .

    0 5 10 20 0 0,5 1,5 2,5

    4. .

    30

    .

    (km) 5 20 20 60 80 60 100 150

    (h) 0.5 1 1.5 2 2.5 3 3.5 4

    .

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    10

    :

    1. .

    ) 5cm, ) 300 cm, ) 400mm, ) 8dm, ) 2,5km, ) 87km

    2. .

    ) 350dm2, ) 4800cm

    2

    3. .

    ) 670dm3, ) 7500L, ) 48000cm

    3, ) 77000mL

    4. :

    ) 30min, ) 2h, ) 1

    5. .

    ) 5kg, ) 60kg, ) 730mg, ) 7800mg

    6. ;

    .

    . .

    , .

    .

    . 1kg 1kg

    . .

    . ,

    .

    . 50gr .

    7. , , , d = 2,5

    g/cm3.

    .

    .

    .

    .

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    8. 4 , , , d = 0,8g/cm3.

    .

    .

    .

    ,

    .

    m (g) 2,5 7,5

    V(cm 3 ) 2 4

    d (g/cm ) 0,8 0,8

    V (cm 3 ) 10 20 30 40

    M (g)

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    12

    2:

    ( , ,

    , , ).

    .

    , ,

    .

    .

    .

    ,

    .

    2.1

    ()

    .

    :

    (d) ()

    .

    1:

    , ,

    (3) (m), dAB = 3m.

    x -1 0 +1 +2 +3 +4 +5 x

    .

    ,

    .

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    2: H d= 304km.

    : ,

    505km,

    .

    : , , 150km.

    85km

    . ;

    , ( )

    , .

    , , .

    , .

    .

    ..

    300 km/h, , , ... .

    .

    ( ) .

    .

    (x)

    .

    .

    (.. );

    .

    .

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    .

    x -3 -2 -1 0 +1 +2 +3 x

    xx

    (

    ).

    .

    3m .

    , (+) (-) .

    x= -3m.

    , ,

    (3m), ( , + - ).

    .

    .

    x

    x -3 -2 -1 0 +1 +2 +3 x

    ( ).

    (t)

    ,

    .

    (t).

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    1: ;

    : 8:10 .. .

    2: ;

    : 6:00 .. .

    3:

    . x=+2m;

    x 0 +1 +2 +3 x

    t0 =0 t1 =2s

    : t1 =2s x=+2m.

    (t)

    (t)

    ( ).

    ,

    .

    1: 6:00

    7:30. ;

    : .

    , 7:30 6:00 = 1 30 .

    2: ,

    t1= 10s t2= 85s.

    .

    :

    , 85s10s = 75s.

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    t = t() - t()

    (x)

    (x) .

    .

    .

    1: x1 = +1m x2 = +4m.

    x1

    x2

    , x = x2x1= (+4)(+1) = +3m

    .

    = -

    x = x()x()

    .

    , .

    , +3m.

    .

    2: x1 = +5m x2 = +1m.x

    x -1 0 +1 +2 +3 +4 +5 x

    x1 x2: x = x2x1= (+1)(+5) = -4m.

    .

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    17

    .

    ..

    ( ) s.

    .

    2.2

    ,

    . .

    ,

    .

    100 m 15s

    20s .

    ; ,

    .

    .

    ,

    .

    .

    300 km 3 . , km ;

    , = 300/3 =

    100km/h.

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    -

    ,

    , ..

    .

    , ,

    .

    ( )

    : x = -2m

    x= + 4m. 12s.

    .

    :

    .

    x = x - x=(+4)(-2) = +6m.

    = x/t = (+6)/12 = +0,5m/s

    x

    x -2 -1 0 +1 +2 +3 +4 +5 x

    :

    =

    =t

    x

    m/s.

    .

    .

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    : , . t1= 2s

    x1=+6m, x2=-2m t2= 6s.

    .

    .

    1 km/h = 1/3,6 m/s 1 m/s = 3,6 km/h.

    , .

    ,

    .

    . m/s,

    .

    ,

    .

    .

    .

    .

    .

    ,

    .

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    2.3

    .

    t0 = 0 x0 = 0.

    0 2s : 1=1

    1x

    t=

    01

    01x

    tt

    x

    =

    02

    0-20

    = 10m/s

    0 4s: 2=2

    2x

    t=

    02

    02x

    tt

    x

    =

    04

    0-40

    =10m/s

    2s 4s: 3=3

    3x

    t=

    12

    12x

    tt

    x

    =

    24

    20-40

    =10m/s

    .

    .

    .

    .

    .

    1.

    =

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    .

    .

    (s)

    0 2 4 6

    (m/s)

    10 10 10 10

    .

    .

    2.

    t :

    x= t.

    , x0=0

    t0=0 x

    t.

    x = t x-0 = (t-0) x = t.

    ,

    . ,

    , ,

    .

    .

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    22

    .

    : 20m/s 0 0. x = t = 20 t.

    .

    (s)

    0 2 4 6

    (m) 0 20 40 60

    :

    ()

    .

    .

    : ,

    .

    x -1 0 +1 +2 +3 +4 +5 x (m)

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    1.

    ,

    .

    .

    .

    (s)

    0 2 4 6

    (m/s)

    0 0 0 0

    2.

    +2m.

    . ,

    .

    (s)

    0 2 4 6

    (m) 2 2 2 2

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    24

    .

    2.4

    200m

    4s. .

    .

    , ,

    .

    .

    , ,

    ( ).

    , , .

    , .,

    .

    .

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    25

    :

    10m/s. ;

    : ,

    ( ).

    .

    . ,

    .

    1:

    .

    0s 10s 0m/s 10m/s, 10

    s 20 s 10m/s, 20s 30s

    10 m/s 0 m/s ( ).

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    2: .

    10s. 20m 10s ( 10s 20s)

    , ( 20s 30s).

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    27

    :

    1.

    . :

    . ;

    . ;

    .

    x (m)

    20 A

    15 B

    10

    50 10 20 t(s)

    2.

    , .

    x (m)

    20 A

    15 B

    10

    5

    0 10 20 t(s)

    . .

    . ;

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    28

    3.

    . x0=0 t0=0.

    (m/s)

    20 A15

    10 B

    5

    0 10 20 30 t(s)

    . ;

    . 10s;

    . 10s;

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    29

    : 3

    3.1 H

    2 ,

    ,

    .

    , .

    ;

    .

    F Force.

    S.I. Newton (N).

    (

    ). , , .

    . (

    ), . , ,

    , . ,

    . , (

    ), ,

    . ,

    , ,

    .

    :

    ,

    .

    . , ,

    .

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    30

    ,

    .

    ( ), ().

    (

    ) ,

    ().

    :

    .

    , , ,

    ( ).

    .

    .

    , ,

    .

    , ,

    .

    , ,

    .

    ; ,

    .

    ,

    .

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    31

    :

    1. :

    ,

    , , () ..

    2. :

    , (

    ),

    .

    ,

    .

    ,

    .

    .

    F 10cm .

    2F 20cm.

    3F 30cm.

    :

    .

    ,

    (Hook).

    ,

    .

    S.I. Newton (N).

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    32

    F

    ,

    . ,

    .

    , .

    .

    (

    ).

    .

    . 1 1cm,

    5 5cm.

    3.2

    (W, weight)

    .

    ;

    ( ) ,

    .

    W

    W

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    33

    (W) .

    .

    , (

    ) ( ).

    ;

    1. , ,

    .

    .

    2.

    ,

    .

    .

    .

    .

    3. , ,

    . .

    1/6 .

    .

    ,

    , .

    , .

    To S.I.

    , kg.

    . .

    , .

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    34

    (T)

    .

    ,

    . ; .

    = 0

    ()

    () (.. , , ).

    .

    .

    .

    .

    1.

    . .

    , , .

    2. .

    ,

    .

    1: ,

    .

    1.

    , .

    2. .

    W,

    .

    3.

    . ,

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    , F ,

    FN

    .

    FN F

    W

    2: , .

    .

    F F

    W W

    W F,

    .

    3.3

    .

    ,

    F.

    .

    1: , F1 F2 ,

    . (

    ).

    ;

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    : F

    .

    F1=2N

    F2=4N

    F F1

    F2 F1 F2.

    F=6N

    F

    .

    F1, F2 ... ,

    F :

    F= F1+ F2

    2: F1 F2, .

    .

    ;

    F1=3N F2=2N

    : F1 F2 ,

    :F= F1- F2

    F=1N

    .

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    3:

    . .

    F1=3N F2=2N

    F3=1N F4=4N

    : ,

    F1 F3 F2 F4.

    F1+F3=4N F2+F4=6N

    : F=F2+F4(F1+F3 ) = +2

    F=2N

    , .

    .. 3

    3

    .

    .. 4 4

    ( )

    , , . ,

    .

    .

    .

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    F

    F1 F2.

    F2= F1

    2+ F2

    2

    F = 22

    12 FF

    ( )

    ,

    . ,

    .

    .

    , .

    ,

    .

    .

    4: . 100

    150. ;

    :

    100 + 150 = 250 150 100

    = 50.

    100 F.=250 100 150

    150 F..=50

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    .

    .

    . .

    5: F = 4, 20

    , F1 F2.

    :

    . , x y.

    . F 20

    , .. 1cm 2. F

    2cm.. F x

    y.

    . T F1

    F2().

    . F1 F2

    ( 1cm

    2).

    F, F1 F2

    .

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    40

    .

    W Wx (

    ) Wy ( ).

    3.4

    , ,

    .

    .

    .

    ; .

    ( )

    ,

    , .

    :

    ,

    () .

    1. = 0 ()

    F= 0

    2. = ( )

    1. = 0 ()

    F= 0

    2. = ( )

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    .

    . ,

    .

    1:

    .

    .

    , .

    2: ,

    .

    3.5 ( )

    . ,

    ,

    .

    : F= 0

    1: . ,

    w ( ) F .

    20, ;

    FN

    W

    , : F. = 0, FW =0 F = W .

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    42

    2: , W = 1, ,

    , F = 2.

    .

    y

    FN

    F

    x x

    W

    y

    :

    1. W ,

    2. FN ,

    3. F

    4. .

    ,

    xx yy .

    F x =0 F y=0

    F x = 0, FT =0 F =T =2.F y=0, FW =0 F = W F = 1.

    xx, yy

    , F x =0 F y=0.

    3.6

    .

    , , ;

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    1:

    .

    , .

    2: 5 1s 10m/s.

    = 0 = 10 m/s

    F=5 F=5

    x 0 t =1s x

    , 10

    1s 20m/s.

    = 0 =20 m/s

    F=10 F=10

    x 0 t =1s x

    :

    ,

    .

    2

    .

    . , ,

    .

    .

    ,

    , .

    3: F m=2kg

    1s 10m/s.

    = 0 = 10 m/s

    F F

    x 0 t = 1s x

    , F

    m=4kg 1s 5m/s.

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    = 0 =5 m/s

    F F

    x 0 t =1s x

    : ,

    .

    ,

    , ,

    . .

    ,

    .

    ,

    , 1. , ,

    1 kg. , ,

    ,

    .

    .

    ,

    . m w : w = m g

    g .

    .

    9,8 m/s2.

    3.7

    ,

    .

    .

    .

    , , 3 :

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    :

    () ,

    (), , .

    :1. .

    2. .

    .

    3.

    .

    4. ,

    .

    1: ,

    , .

    FN

    W

    : :

    1. W ( ),

    2.

    FN, ( ). , ,

    - .

    W ,

    W

    FN FN .

    W

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    46

    FN

    FN

    1: (W) ;

    : , .

    .

    2: , .

    .

    W F.

    W W.

    F.

    F1 F1 F2 F2 .

    2: ;

    : , , ,

    .

    .

    .

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    4

    :

    4.1

    . , ,

    . ,

    .

    .

    .

    ( ). , ,

    , (

    ),

    . , ,

    , ,

    . ,

    ,

    .

    :

    (p)

    . F

    p =AF

    F .

    .

    Pa (Pascal), 1 Pa = 1 N/m2.

    1. , .

    2. N/m2, .

    3. ,

    .

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    48

    4.2

    ,

    . .

    , . , .

    .

    .

    .

    .

    . , ,

    .

    .

    (.

    ).

    . U ,

    .

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    49

    :

    1. ,

    h .

    2. (2h) .

    (3h)

    , .

    .

    3. .

    (h) .

    = 1000kg/m3 = 1200kg/m

    3 ,

    .

    .

    :

    (h) ,

    (),

    (g).

    : p = g h

    4. h

    .

    .

    5.

    , , h

    . .

    .

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    50

    .

    .

    .

    . ,

    .

    4.3

    .

    .

    . .

    ,

    .

    , , ,

    . ,

    .

    (1atm).

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    51

    (Evagelista Torricelli) 1643

    100.000 Pa.

    .

    .

    1:

    ( 1m2).

    100000.

    .

    .

    2: ,

    .

    .

    , .

    4.4

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    52

    , ,

    .

    , .

    .

    . (Pascal) 1623

    :

    ,

    .

    (. ).

    , ( ).

    , 1, F1.

    1 1

    1F

    A.

    2. 2 1 .

    F2.

    2= 1,2

    2F

    A=

    1

    1F

    A, F2=

    1

    1F

    AA2 , F2=

    1

    2A

    AF1

    : F2 F1

    2 1.

    A A2

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    53

    ,

    , .

    . , ,

    , h , .

    = + g h

    4.5 -

    ,

    , .

    .

    ,

    .

    : , ..

    F=2.

    F=1,6. ;

    :

    .

    = F - F= 2 1,6 = 0,4.

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    54

    ;

    . ,

    ,

    .

    . .

    ;

    .

    .

    ,

    .

    ,

    . ,

    .

    , ,

    ,

    .

    :

    . ,

    .

    .

    = W= mg = ( V) g

    = g V

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    55

    :

    1. .

    2. ,

    .

    4.6

    .

    , .

    :

    ) (W) (A).

    .

    W >A

    )

    .

    W =A

    ) (

    ) .

    W < A

    , (

    ). A

    , .

    : = W

    W

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    56

    5:

    5.1

    ,

    . ,

    .

    , ,

    . ,

    . , ,

    . , ,

    .

    , , ,

    , ... , ..

    .

    , .. ,

    , , , .

    , , .

    .

    ;

    , ,

    , .

    .

    , . ,

    . ,

    , , ., ( )

    .

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    57

    :

    , (W) ,

    .

    .

    = * WF = F x

    F F

    x

    :

    1. Joule, 1J =1N*m.

    2.

    .

    :

    1.

    . .

    2.

    . .

    .. , W = - x ( ,

    ).

    x

    3. ) )

    . .. Ww= 0,

    WF = 0.

    FN

    x

    W

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    58

    4. . F

    ,

    . F1 F2.

    F F1

    , F2 .y

    F2 F

    x F1 x

    x

    y

    5.2 . .

    .

    1Kg ,

    .

    , ..

    . , ,

    . .

    F

    w

    F

    h

    W

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    59

    h, F. T

    , .

    F, , . F

    WF= F h = W h = m g h ( :W=mg). F ,

    .

    U F,

    U= WF= F h = w h = m g h.

    U = m g h, m

    , g h (

    , .. ,

    ).

    .

    ,

    , .

    , ,

    ,

    .

    (, ,

    ). ,

    ()

    .

    ,

    .

    .

    .

    . ,

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    60

    . ,

    , .

    .

    = m 2

    m .

    J (joule).

    5.3

    3= 0

    2

    h

    1

    .

    ( ) .

    , , ,

    , .

    . ( )

    , .

    . (

    ) ( ).

    .

    .

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    61

    .

    :

    ,

    , .

    .

    ,

    , .

    5.4

    .

    , .

    . .

    ,

    .

    , , ,

    .

    .

    .

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    62

    5.5

    .

    .

    ,

    .

    ,

    ,

    .

    . .

    :

    . , .

    .

    5.6

    ,

    .

    .

    ,

    .

    , ,

    ,

    .

    ( )

    , , .

    ,

    . .

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    63

    , .

    .

    .

    .

    ( )

    .

    ( )

    .

    ,

    .

    .

    .

    5.7

    () ().

    , , , ,

    . ,

    .

    .

    (n)

    . %

    100%.

    n =

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    5.8

    2m. ,

    , .

    , , .

    .

    .

    (P) (W) (E)

    (t), .

    P =

    t

    W=

    t

    E

    .

    Watt (), 1W = 1J/s

    1HP = kW.

    , F.

    W = F x. x = t, W = F t.

    P=W/ t = F t/ t = F

    H F , ,

    .