Λύσεις Ασκήσεων Κεφάλαιο 1 Φυσική Κατεύθυνσης Β...

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Οι λύσεις των ασκήσεων για το Κεφάλαιο 1 - Καμπυλόγραμμες Κινήσεις

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    1: : ,

    1: , 7,2m 3s.

    ) ;

    ) 12m/s ,

    i) ;

    ii) ;

    ) , :

    2

    22

    2 /6,1)3(2,722

    21 sm

    sm

    thgtgh

    )

    i) , .

    :

    sec3/6,1

    2,722

    2

    12

    2

    sm

    m

    g

    httgh

    ,

    ,

    .

    ,

    ,

    .

    ii) : mssmtx 363/120

    2: h = 500m 150m/s

    .

    )

    .

    ) 10s,

    .

    ) .

    ) x,

    0 . y, .

    t . x

    x tx0

    0

    x

    . y y

    2

    2

    1gty gty .

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    ) : 222

    2 /10)10(

    50022

    2

    1sm

    s

    m

    t

    hggth

    )

    sm /1500 , st 10

    mssmtx 150010)/150(0 .

    3: 0,8m.

    35m/s.

    ) ( )

    .

    : ( sm /35 )

    ( ).

    ,

    , :

    , ds dt.

    ,

    :

    dt

    ds (1)

    , ds,

    d.

    :R

    dsd Rdds (2)

    , (1) (2) :dt

    ds

    dt

    dR

    :dt

    d : R

    ,

    ( ) R . ,

    .

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    ,

    sm /35 .

    ) :

    2222

    /5,3062

    2

    8,0

    )/35(

    2

    smm

    sm

    dRa

    4:

    , .

    6.380km.

    T = 24h.

    shssh 3600136006060min601

    , sh 36002424

    sms

    m

    T

    R/73,463

    360024

    638000022

    222

    /0337,0

    6380000

    )/73,463(sm

    m

    sm

    R

    a

    5: pulsar ( )

    13,8km 8,5z.

    .

    smsm

    fd

    RfT

    RT

    R/368322/15,8

    2

    138002

    222

    12

    2

    2

    22

    /19661028

    2

    13800

    )/368322(sm

    m

    sm

    Ra

    6: 780

    . 0,66m. :

    ) . )

    .

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    ) fd

    RfT

    RT

    R

    222

    12

    2

    sm

    s

    m/94,26

    60

    780

    2

    66,02

    ) 222

    /2199

    2

    66,0

    )/94,26(sm

    m

    sm

    Ra

    7:

    135,2m.

    , ,

    . 25%

    ,

    .

    2/10 smg .

    ) mm

    R 6,672

    2,135

    2

    .

    :

    44max

    mgwT

    ,

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    2

    max

    Rm

    mg 2

    max

    4

    R

    g 2

    max

    4

    4

    2 gRmaz

    2

    gRmaz

    h

    km

    h

    km

    h

    km

    s

    mm

    s

    m

    maz 8,461000

    3600

    13

    3600

    1

    1000

    1

    13132

    6,67102

    8:

    . 12 .

    /3 ;

    ( ) 12 . , ,

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    , =12h=12h3600sec/h=43200sec.

    60 . ,

    =60min=60min60sec/min=3600sec.

    :t

    t

    ,T

    2 t

    T

    2

    , : tT

    2 t

    T

    2.

    t :

    tT

    2

    t

    TT

    TTt

    TTt

    T

    2222

    )(2

    TT

    TTt

    , =/3 rad :

    min9,10min60

    5,654sec5,654

    sec)3600sec43200(2

    sec43200sec36003

    rad

    rad

    t

    9: d =

    2m = 400m/s.

    . , = 45.

    .

    d

    45. d sssm

    mdt

    3105005,0

    /400

    2

    st 3105

    rad4

    45

    .

    ,

    t

    s

    rad

    s

    rad

    s

    rad

    5020

    10

    105

    43

    3

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    10: h = 6.400km

    4h. R = 6.400km,

    :

    ) .

    ) .

    ) hRr .

    :

    sshT 400.1460604min6044

    sm

    s

    m

    T

    hR/5582

    400.14

    128000002)(2

    ) srads

    rad

    T/106,43

    400.14

    22 5

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