21i Olympiada Fysikis a' Lykeiou Lyseis

7/23/2019 21i Olympiada Fysikis a' Lykeiou Lyseis

1/11

21

1 11

21

21

2007

: 10:00 13:00

10

) ,

. ( -).(3 )

30 (

).

.(2 )

)

.(2 )

20

m m. :

m

Fa

= . 1

1

1m

Fa =

2

2m

Fa = .

: m1= , m2=

m1> m2 1 2. (3 )


2/11

21

2 11

20

)

.(2 )

.

.

.

= gmB .

= gmB .

> BB

> gg (2 )

)

.(3 )

20 :

m

F=

F

,

, m

F

.(3 )

30

10- .

. 72

)(h

KmU 2

36

1X1 3

)(st

.


3/11

21

3 11

1

h

KmU 361 = . 10m.

1,2 3

h

KmU 722 = 41.

mmXX

4010.44 1 ===

40m

32m ,

. (10 )

20

- .

.

2

0 .2

1. ttuX = (1) tuu .0 = ( 2) (2 )

2 t

0=

u tu .0 0 =

0ut= ( 3 )

3

(3) 1 (1).2

0max

2

0

2

02000max

2

1

2

1)(

2

1)(

uX

uuuuuX === ( 4)(4 )

h

Kmu 361 =

.

h

Kmu 722 = maxX .

2

0

2

0max 2

)2(

2

1 uuX == ( 5) (2 )


4/11

21

4 11

4 5 mXmX 4010.44 maxmaxmax ===

40m

32m ,

.(2 )40

) (i) : ss 50

(

, ). (1 )

(ii) : ss 105

, .(1 )

(iii) : ss 2010

s

mu 20= (1)

: ss 50

1

:

21114

5

200

s

m

s

s

m

s

m

tt

uu

t

u=

=

=

=

(1 )

: ss 105

2a

.

22224

510

20

s

m

ss

s

mo

s

m

tt

uu

t

u=

=

=

=

(1 )

: ss 2010

3

.

23330

10

)20(20

s

m

s

s

m

s

m

tt

uu

t

u

XIKOA

=

=

=

=

(1 )

) 0s-5s

1X ,

5s-10s 2X , 3X


5/11

21

5 11

10s-20s.

:

321 ++=X

)( s

mU

20

1

0

5 10 15 20 25 t(s)

2 3

-20

mX 502

5.201 == , mX 50

2

5.202 == mX 20010.203 ==

mXmmmX 3002005050321 =++=++= (4 )

) 0s-20s

:

321 XXXX = mmmmX 2002005050 == (4 )

50

,

,

.

S

()


6/11

21

6 11

)

1

R

S ()

2

1B1

1 R ,

2

. (2 )

:

00 ==

FF 0= F ( 1)

11 00 BRBRF === 00 2 == F (2)

2 :NBRgmBR 510.5.0. 111 =====

NgmBT 410.4.0.22 ==== (4 )

) : 1 2

: , R (2 )

)

2.

B2 2

FM

+== FBTF 2'0 (

) N514' =+=

S


7/11

21

7 11

R

FM ()

S

==+== F BRRF FF 11 00

== 415R ( 4 )

1

60

)

)(tfu = .

( 6 )

) u =s

muu 10212 ==

()

s

mtau 105,2.4. === ( 4 )

() F1 NamF 24.5,0.1 ===

F2F1

. .

, , 2.5s,

s

mu 12= ,

. .( 4 )

(m/s)

t (s)

2

0

12

2.5


8/11

21

8 11

70

1

) 2

4

R

T

2

:

00 ==

FF 0=

F ( 1) 1 2

== 0

0=

R ( 2)

2 :

0

maxmaxmax

max 535

4

5

4.. =====

B

TgmT (6 )

)

2. :

NRgmRRB 36.0.10.5.053..0 0 ====

(4 )


9/11

21

9 11

80

) 1 2

.

1 . (4 )

1

F3F1

F2

F1 R

F21

2

B1

2

) 1

R 2

F1 :

1

1 :

1 00 == FF ( 1)

0=

F

B1 NBF F XX 240 11 ===

2

2 1 :

==

=

= 40

6.024 111

1

1

:

= 1BR ===

=

328.0.40. 1111

1

==

321BR (3 )


10/11

21

10 11

3

F3 F3F1 F3X

F2

:

00 ==

FF 0=

F ( 2)

NFFFFFX 2400 1313 ====

3 2 :

2323 00 F FF FF ===

NFF

FF

F40

6.0

243

33

3

3====

====

328.0.40. 3333

3 FFFF

F

==

3232 FF (3 )

2

F2 2

4 :

2 2222 00 FBFBF ===

22 F F = (-) NF 322 =

B2 === 32222 F FB (2 )

4


11/11

21

11 11

) 1

,

1.

.

,

. (3 )

) agamgmamBamBF =====

....... 1111

266.0.10

s

ma == (2 )

1 :

mXtaX 273.6.2

1..

2

1 22=== 1

3s 27m.(3 )

21i Olympiada Fysikis a' Lykeiou Lyseis

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