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Fizika9 Perishkin

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kljmgujZ\ghgmex

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hlZfieblm^ukj_^g_clhqdb>eykj_^gbolhq_dkljmg^jm]boZjnhg

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36.

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h[jZs_gu ^jm] d ^jm]m ?keb l_i_jv m^Zjblv ih h^ghfm ba gbo b

q_j_ag_dhlhjh_\j_fyaZ]emrblvijbdhkgm\rbkvjmdhcd g_fmlh

fu mkeurbf a\md hl \lhjh]h dZf_jlhgZ < hkgh\_ ^Zggh]h hiulZ

e_`bly\e_gb_a\mdh\h]hj_ahgZgkZ

37.

Ihevamykv ]jZnbdhf hij_^_ey_f Z  ijb  =p Zfieblm^Z

mklZgh\b\rboky dhe_[Zgbc [m^_l [hevr_ q_f ijb  =p [  qlh[u

Zfieblm^Z mklZgh\b\rboky dhe_[Zgbc [ueZ fZdkbfZevghc dZq_eb

gZ^hih^lZedb\Zlvk qZklhlhc=p\ kh[kl\_ggZyqZklhlZdZq_e_c

jZ\gZqZklhl_\ugm`^Zxs_ckbeul_=p



38.

>Zgh:


l

 kf f



m

 ]  d]



= 4 

10



-2

Le

J_r_gb_



F

l

F



f

mg BIl

I =


f

0,1


Le

10

4



fk

9,8


d]

002


,

0

2



2



=



Bl

mg

=

= 4,9 A.



GZclbI.

Hl\_l: = 4,9 A.



39.

< ^Zgghf kemqZ_ jhev p_gljhklj_fbl_evghc kbeu \uihegy_l

kbeZ k dhlhjhc fZ]gblgh_ ihe_ ^_ckl\m_l ^\b`msbcky we_dljhg

IhevamykvijZ\behfe_\hcjmdbhij_^_ey_fqlhwe_dljhg\e_l_e\

dZf_jm\ lhqd_<.



63

40.

>Zgh


= 3 

10



7

fk


|

_| = 1,6 

10

-19



De

= 9,1 

10



-31

d]

= 8,5 

10

-3



Le

J_r_gb_


F

pk

F



f



r



mv

2

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|

e



B

mv

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10

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1

Le

10



5

,

8



fk

10

3



d]

10

1



,

9

19



-

3

7



31







= 2 

10



-2

f

GZclbr.



Hl\_l= 2 

10



-2

f

41.



< j_amevlZl_

β

jZkiZ^Z



e

-

0

1



14

7

14



6

N

C



+

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42.

He

N



Al

4

2



24

11

1



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27

13



+

+



n

.

43.

He

N

X



Al

4

2



7

3

10



4

7

5



2

3

10



5

+



+

+



+



X

10

4



7

5

2



3

+



+

=



n

1

0



²g_cljhg

64

EZ[hjZlhjgu_jZ[hlu

EZ[hjZlhjgZyjZ[hlZ‹

Bkke_^h\Zgb_jZ\ghmkdhj_ggh]h^\b`_gby[_agZqZevghckdhjhklb



P_evjZ[hlum[_^blvky\ jZ\ghmkdhj_gghfoZjZdl_j_^\b`_gby

[jmkdZb hij_^_eblv_]hmkdhj_gb_b f]gh\_ggmxkdhjhklv

< ^Zgghf\ZjbZgl_jZ[hlubkke_^mxloZjZdl_j^\b`_gby[jmkdZ

ih gZdehgghc iehkdhklb K ihfhsvx ijb[hjZ bah[jZ`_ggh]h gZ

jbk  Z  mq_[gbdZ fh`gh baf_jylv fh^meb \_dlhjh\

i_j_f_s_gbckh\_jr_gguo[jmkdhfaZijhf_`mldb\j_f_gbt

1

t



2

=

2t



1

t

3

=

= 3t



1

,…, t



n

nt

1

hlkqblu\Z_fuohlfhf_glZgZqZeZ^\b`_gby?keb



aZibkZlv^ey^Zgguofh^me_c\_dlhjh\i_j_f_s_gbcbo\ujZ`_gby

2

2



1

1

at



s

=



( )

1

2



2

1

2



2

2

2



2

2

2



2

s

t

a

at

s

=

==



=

( )



3

2

2



1

2

3



3

2

3



2

3

2



s

t

a

at

s

=

=



=

,…,


( )

1

2



2

1

2



2

2

2



s

n

nt

a

at

s

n

n

=

=



=

,

lhfh`ghaZf_lblvke_^mxsmxaZdhghf_jghklv



s

1

s



2

s

3

: … : s



n

= 1


2

: 2


2

: 3


2

:…: n

2

= 1 : 4 : 9 :…: n



2

.

?keb wlZ aZdhghf_jghklv \uihegy_lky ^ey baf_j_gguo \ jZ[hl_



fh^me_c\_dlhjh\i_j_f_s_gbclhwlhb [m^_l^hdZaZl_evkl\hflh]h

qlh ^\b`_gb_ [jmkdZ ih gZdehgghc iehkdhklb y\ey_lky

jZ\ghmkdhj_gguf

Ijbf_j\uiheg_gbyjZ[hlu.

AZ^Zgb_ Bkke_^h\Zgb_oZjZdl_jZ^\b`_gby[jmkdZihgZdehgghc

iehkdhklb



t, c

0

0,



02

0,

04



0,

06

0,



08

0,

10



0,

12

0,



14

0,

16



0,

18

0,



20

0,

22



0,

24

0,



26

0,

28



0,

30

s

ff

0

1



3

7

15



24

36

50



65

82

102



126

146


170

198


227

1

2



s

s

=  ff


1

ff

3



= 3, 

1

3



s

s

= ff


1

ff

7



= 7, 

1

4



s

s

=

ff



1

ff

15



= 15, 

1

5



s

s

=

ff



1

ff

24



= 24,

65

1

6



s

s

=

ff



1

ff

36



= 36, 

1

7



s

s

=

ff



1

ff

50



= 50, 

1

8



s

s

=

ff



1

ff

65



= 65, 

1

9



s

s

=

ff



1

ff

82



=82,

1

10



s

s

=

ff



1

ff

102



= 102, 

1

11



s

s

=

ff



1

ff

126



= 126, 

1

12



s

s

=

ff



1

ff

146



= 146, 

1

13



s

s

=

=



ff

1

ff



170

= 170, 


1

14

s



s

=

ff



1

ff

198



= 198, 

1

15



s

s

=

ff



1

ff

227



= 227.

Hlkx^ZgZoh^bf



s

1

s



2

s

3

s



4

s

5

s



6

s

7

s



8

s

9

s



10

s

11

s



12

s

13

s



14

s

15

=

= 1 : 3 : 7 : 15 : 24 : 36 : 50 : 65 : 82 : 102 : 126 : 146 : 170 : 198 : 227.



WlZ aZdhghf_jghklv g_ hq_gv kbevgh hlebqZ_lky hl l_hj_lbq_kdhc

aZdhghf_jghklb ^ey jZ\ghmkdhj_ggh]h ^\b`_gby LZdbf h[jZahf

fh`gh kqblZlv qlh ^\b`_gb_ [jmkdZ ih gZdehgghc iehkdhklb

y\ey_lkyjZ\ghmkdhj_gguf

AZ^Zgb_ Hij_^_e_gb_mkdhj_gby^\b`_gby[jmkdZ

Mkdhj_gb_[m^_f\uqbkeylvihnhjfme_

2

2

t



s

.

t

10

= 0,2 c; s



10

= 102 


ff = 0,102 f; a

1

=



(

)

2



k

0,2


f

102


,

0

2



= 5,1 


f/k

2

.



t

15

= 0,3 c; s



15

= 227 


ff = 0,227 f; a

1

=



(

)

2



k

0,3


f

227


,

0

2



5,04 



f/k

2

.



a

kj



2

fk


04

,

5



fk

1

,



5

2

2



2

2

1



+

=

+



a

a

 fk

2

.

AZ^Zgb_  Hij_^_e_gb_ f]gh\_gghc kdhjhklb [jmkdZ \ jZagu_



fhf_glu \j_f_gb b ihkljh_gb_ ]jZnbdZ aZ\bkbfhklb f]gh\_gghc

kdhjhklbhl\j_f_gbt.

AgZq_gb_f]gh\_gghckdhjhklb[m^_f\uqbkeylvihnhjfme_at.

= 0,1 c; v

 fk

2



k  fk



= 0,2 c; v

 fk

2



k  fk



= 0,3 c; v

 fk

2



k  fk



=jZnbdaZ\bkbfhklbf]gh\_gghckdhjhklbhl\j_f_gbt.

66



























t, c

v

fc


>hihegbl_evgh_ aZ^Zgb_ Ihkljh_gb_ ]jZnbdZ aZ\bkbfhklb

dhhj^bgZlu [jmkdZ hl \j_f_gb t.   x

0

= 0, t



0

= 0, x



i

(t

i

) = s



i

=

1,2,3,…,15.





























x

ff

t, c



P_ev jZ[hlu hij_^_eblv mkdhj_gb_ ^\b`_gby rZjbdZ b _]h

f]gh\_ggmxkdhjhklvi_j_^m^Zjhfh pbebg^j

>\b`_gb_ rZjbdZ ih gZdehgghfm `_eh[m y\ey_lky

jZ\ghmkdhj_gguf ?keb fu hlimklbf [_a gZqZevghc kdhjhklb

rZjbd b baf_jbf ijhc^_ggh_ bf jZkklhygb_ ^h klhedgh\_gby k

pbebg^jhf b \j_fy hl gZqZeZ ^\b`_gby ^h klhedgh\_gby lh fu

fh`_fjZkkqblZlv_]hmkdhj_gb_ihnhjfme_=

2

2

t



s

.

AgZymkdhj_gb_afufh`_fhij_^_eblvf]gh\_ggmxkdhjhklvih



nhjfme_

at.

Ijbf_j\uiheg_gbyjZ[hlu.

Qbkeh

m^Zjh\


f_ljhghfZ

n

JZkklhygb_



s

f


^\b`_gby


t, c

Mkdhj_gb_



=

2

2



t

s

fk


2

F]gh\_ggZy

kdhjhklv

at

fk


3

0,9


1,5

0,8


1,2

67


= 0,5 c

3 = 1,5 c; =



( )

2

k



1,5

f

9



,

0

2



 fk

2

v



 fk

2



k  fk

EZ[hjZlhjgZyjZ[hlZ‹

Baf_j_gb_mkdhj_gbyk\h[h^gh]hiZ^_gby

P_ev jZ[hlu baf_jblv mkdhj_gb_ k\h[h^gh]h iZ^_gby k

ihfhsvxijb[hjZ^eybamq_gby^\b`_gbyl_e

K\h[h^gh_ iZ^_gb_ l_eZ y\ey_lky jZ\ghmkdhj_gguf ^\b`_gb_f

?keb fu hlimklbf [_a gZqZevghc kdhjhklb dZdhcgb[m^v ]jma  gZ

mklZgh\d_hk\h[h`^Z_faZ`bf b baf_jbfijhc^_ggh_bfjZkklhygb_



s

b \j_fytaZdhlhjh_[uehijhc^_ghwlhjZkklhygb_lhfufh`_f

jZkkqblZlvmkdhj_gb_k\h[h^gh]hiZ^_gbyihnhjfme_=

2

2



t

s

.

Ijbf_j\uiheg_gbyjZ[hlu.



^\b`_gby=



nT, c

Imlvsff

Imlvsf

Mkdhj_gb_k\h[h^gh]h

iZ^_gby= 2s/t

2

fk



2

0,28


400

0,4



= 14; = 14 

0,02 c = 0,28 c; g



wdki

=

(



)

2

k



28

,

0



f

0,4


2



fk

2

.





= |g

wdki


– g

l_hj


_ _fk

2

±fk



2

_ fk

2

.

%



100

fk


8

,

9



fk

4

,



0

%

100



2

2



=



g

g

4,1 %.



EZ[hjZlhjgZyjZ[hlZ‹

Bkke_^h\Zgb_aZ\bkbfhklbi_jbh^Zb qZklhluk\h[h^guo

dhe_[Zgbcgblygh]hfZylgbdZhl_]h^ebgu

P_evjZ[hlu\uykgblvdZdaZ\bkyli_jbh^b qZklhlZk\h[h^guo

dhe_[Zgbcgblygh]hfZylgbdZhl_]h^ebgu

Ijbbaf_g_gbb^ebgugblygh]hfZylgbdZf_gy_lky_]hqZklhlZb

i_jbh^ < ^Zgghc jZ[hl_ fu ^he`gu hij_^_eblv wlm aZ\bkbfhklv

I_jbh^ b qZklhlm hij_^_ey_f ke_^mxsbf h[jZahf Hldehgbf

rZjbdfZylgbdZhliheh`_gbyjZ\gh\_kbygZg_[hevrmxZfieblm^m

b aZk_q_f \j_fy t \ l_q_gb_ dhlhjh]h fZylgbd kh\_jrbl .

dhe_[Zgbc Lh]^Z i_jbh^ b Zfieblm^m fh`gh ihkqblZlv ih

nhjfmeZf



68

.

T



1

,

t



N

N

t

T

=

=



ν

=

Baf_jyy i_jbh^ b qZklhlm ijb jZaguo agZq_gbyo ^ebgu fZylgbdZ



ful_fkZfufihemqZ_faZ\bkbfhklvi_jbh^Zb qZklhluhl^ebgu

Ijbf_j\uiheg_gbyjZ[hlu.

‹ hiulZ

Nba\_e



1

2

3



4

5

l

kf

5

20



45

80

125



N

30

30



30

30

30



t, c

13

27



40

53

67



T, c

0,43


0,9

1,33


1,77

2,23


ν

=p



2,31

1,11


0,75

0,57


0,45

Ba ^Zgguo \ lZ[ebp_ fh`gh aZf_lblv lZdmx aZdhghf_jghklv q_f

[hevr_ ^ebgZ fZylgbdZ l_f [hevr_ i_jbh^ b f_gvr_ qZklhlZ b

gZh[hjhl

>hihegbl_evgh_aZ^Zgb_.

P_ev aZ^Zgby \uykgblv dZdZy fZl_fZlbq_kdZy aZ\bkbfhklv

kms_kl\m_lf_`^m^ebghcfZylgbdZb i_jbh^hf_]hdhe_[Zgbc

1

2



T

T

2



1

3

T



T

3



1

4

T



T

4



1

5

T



T

5



1

2

l



l

= 4


1

3

l



l

= 9


1

4

l



l

= 16


1

2

l



l

= 25


Ba ^Zgguo \ lZ[ebp_ ohjhrh ijhkfZljb\Z_lky k\yav f_`^m i_jbh^hf

dhe_[ZgbcfZylgbdZb _]h^ebghc

1

1

l



l

T

T

k

k

=

]^_fh`_lijbgbfZlv



b 

EZ[hjZlhjgZyjZ[hlZ‹

Bamq_gb_y\e_gbywe_dljhfZ]gblghcbg^mdpbb

P_evjZ[hlubamqblvy\e_gb_we_dljhfZ]gblghcbg^mdpbb

DZdba\_klghy\e_gb_we_dljhfZ]gblghcbg^mdpbbaZdexqZ_lky

\ \hagbdgh\_gbbwe_dljbq_kdh]hlhdZ\ aZfdgmlhfijh\h^gbd_ijb

baf_g_gbb fZ]gblgh]h ihlhdZ ijhgbau\Zxs_]h ho\Zq_ggmx

ijh\h^gbdhfiehsZ^v

Ijbf_j\uiheg_gbyjZ[hlu.

1.

K[hjdZmklZgh\db jbkmq_[gbdZ 



2.

< i_j\hfhiul_bg^mdpbhgguclhd\hagbdZe\ dZlmrd_\ kemqZ_

dh]^Z fZ]gbl ^\b]Zeky hlghkbl_evgh dZlmrdb Ijb lhjfh`_gbb

fZ]gblZ kbeZ bg^mdpbhggh]h lhdZ j_adh \hajZklZeZ b iZ^ZeZ ^h

gmeydh]^ZfZ]gblhklZgZ\eb\Zeky ihdhbeky 



69

3.

Baf_g_gb_ fZ]gblgh]h ihlhdZ y\ey_lky ijbqbghc \hagbdgh\_gby

bg^mdpbhggh]hlhdZL_fZ]gblgucihlhd

Φ

ijhgbau\ZxsbcdZlmrdm



f_gyeky\f_kl_k bg^mdpbhgguflhdhfl_\h\j_fy^\b`_gbyfZ]gblZ

4.

Bg^mdpbhgguc lhd \hagbdZe \ dZlmrd_ ijb baf_g_gbb

fZ]gblgh]hihlhdZijhgbau\Zxs_]hwlmdZlmrdm

5.

Ijbijb[eb`_gbbfZ]gblZd dZlmrd_fZ]gblgucihlhdf_gyeky

ld fZ]gblguc ihlhd aZ\bkbl hl fh^mey \_dlhjZ fZ]gblghc

bg^mdpbb B

U

fh^mev wlh]h \_dlhjZ g_ ihklhyg_g ld fZ]gblgh_



ihe_ihklhyggh]hfZ]gblZg_h^ghjh^gh 

6.

GZijZ\e_gb_ bg^mdpbhggh]h lhdZ [m^_l jZaebqguf ijb

ijb[eb`_gbbfZ]gblZd dZlmrd_b m^Ze_gbb_]hhlg__

7.

Q_f [hevr_ kdhjhklv ^\b`_gby fZ]gblZ hlghkbl_evgh dZlmrdb

l_f [hevr_ fZ]gblguc ihlhd

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bg^mdpbhggh]hlhdZ

8.

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9.

Bg^mdpbhgguclhd\hagbdZ_l\ kemqZyoZ b \ 



10.

FZ]gblgucihlhdf_gy_lky\ kemqZyoZ b \ 



11.

mq_[gbdZ Bg^mdpbhgguclhd\hagbdZ_l\ jZfd_\jZsZxs_cky

\ fZ]gblghf ihe_ \ke_^kl\b_ baf_g_gby fZ]gblgh]h ihlhdZ

y\e_gb_we_dljhfZ]gblghcbg^mdpbb 

EZ[hjZlhjgZyjZ[hlZ‹

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P_ev jZ[hlu m[_^blvky \ kijZ\_^eb\hklb aZdhgZ khojZg_gby

bfimevkZgZijbf_j_^_e_gbyy^_jmjZgZ

Ijbf_j\uiheg_gbyjZ[hlu.

AZ^Zgb_Y^jhmjZgZijbaZo\Zl_g_cljhgZjZa^_ey_lkyijbf_jghgZ

^\_jZ\gu_qZklbdhlhju_gZau\ZxlkyhkdhedZfb^_e_gbyIjbwlhf

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