NbabdZdeMq [ eyh[s h[jZah\Zlmq [aZ\ gbcª



Download 488,4 Kb.
Pdf ko'rish
bet10/13
Sana04.11.2019
Hajmi488,4 Kb.
#25008
1   ...   5   6   7   8   9   10   11   12   13
Bog'liq
Fizika9 Perishkin

q_f LWK 

hdjm`Zxsmxkj_^m ijbijZ\bevghcwdkiemZlZpbb q_fLWK

3.

:lhfgZywg_j]_lbdZlj_[m_lj_r_gbyke_^mxsbolj_ohkgh\guo

ijh[e_f   kh\_jr_gkl\h\Zgb_ l_ogheh]bc k p_evx mf_gvr_gby

h[jZah\Zgby hloh^h\   i_j_jZ[hldZ hloh^h\ b mf_gvr_gb_

hiZkghklb hl jZkijhkljZg_gby \ hdjm`Zxs_c kj_^_   gZ^_`gZy

baheypbyhloh^h\hlhdjm`Zxs_ckj_^u



4.

Hl\_j`^_gb_`b^dbohloh^h\hkl_deh\Zgb_hloh^h\



§70.

1.

< lhf qlh \ha^_ckl\b_

α



β

 b


γ

emq_c gZ `b\mx ldZgv

ijhbkoh^bl __ bhgbaZpby  gZjmrZ_l `bag_^_yl_evghklv de_lhd

^Zgghc ldZgb qlh hljbpZl_evgh kdZau\Z_lky gZ a^hjh\v_ `b\h]h

hj]ZgbafZ


37

2.

Ih]ehs_gghc ^hahc baemq_gby gZau\Z_lky ih]ehs_ggZy

\_s_kl\hf wg_j]by bhgbabjmxs_]h baemq_gby jZkkqblZggZy gZ

_^bgbpm fZkku Ih]ehs_ggZy ^haZ baemq_gby hij_^_ey_lky ih

nhjfme_

m

E

D

=

 ]^_ ? ² ih]ehs_ggZy \_s_kl\hf wg_j]by m —



fZkkZ\_s_kl\Z?^bgbp_cbaf_j_gbyih]ehs_gghc^haubaemq_gby

\ kbkl_f_KBy\ey_lky]j_c =j =j 

d]

1

>`



1

.

3.

Ijb[hevr_c^ha_baemq_gby

4.

JZagu_ \b^u bhgbabjmxsbo baemq_gbc ijb h^bgZdh\hc

ih]ehs_gghc ^ha_ h[emq_gby hdZau\Zxl jZaebqgu_ ih \_ebqbg_

[bheh]bq_kdb_ wnn_dlu \ `b\hf hj]Zgbaf_ GZijbf_j ijb

h^bgZdh\hc ih]ehs_gghc ^ha_ [bheh]bq_kdbc wnn_dl hl

α

-



baemq_gbyijbf_jgh\ jZa[hevr_q_fhl

γ

baemq_gby



5.

Dhwnnbpb_gl dZq_kl\Z baemq_gby ihdZau\Z_l \h kdhevdh jZa

[hevr_jZ^bZpbhggZyhiZkghklvhl\ha^_ckl\bygZ`b\hchj]Zgbaf

^Zggh]h \b^Z baemq_gby ih kjZ\g_gbx k

γ

baemq_gb_f ijb



h^bgZdh\uo ih]ehs_gguo^haZo Dhwnnbpb_gldZq_kl\Zbaemq_gby

^ey


α

baemq_gbyjZ\_g^ey

β



γ



b j_gl]_gh\kdh]hbaemq_gby²

1.

6.

Wd\b\Ze_glgZy ^haZ baemq_gby [ueZ \\_^_gZ \ k\yab k l_f qlh

ijb h^bgZdh\hc ih]ehs_gghc ^ha_ baemq_gby jZaebqgu_ \b^u

baemq_gbc \uau\Zxl jZaebqgu_ [bheh]bq_kdb_ wnn_dlu

Wd\b\Ze_glgZy ^haZ baemq_gby \uqbkey_lky dZd ijhba\_^_gb_

ih]ehs_gghc ^hau gZ dhwnnbpb_gl dZq_kl\Z D: DK ?_

_^bgbp_cbaf_j_gbyy\ey_lkyab\_jl A\ 



7.

Qm\kl\bl_evghklv jZaebqguo ldZg_c `b\h]h hj]ZgbafZ

hij_^_ey_lky dhwnnbpb_glhf jZ^bZpbhggh]h jbkdZ  \j_fy

h[emq_gby



8.

Hl \ha^_ckl\by gZ `b\hc hj]Zgbaf jZ^bhZdlb\guo baemq_gbc

ijbf_gyxlky ki_pbZevgZy h^_`^Z jZaebqgu_ aZsblgu_ m[_`bsZ

JZ^bhZdlb\gu_ ij_iZjZlu ke_^m_l ojZgblv \ ki_pbZevguo

aZsblguodhgl_cg_jZoh[uqghk\bgph\uo

§72.

1.

L_jfhy^_jghc j_Zdpb_c gZau\Z_lky j_Zdpby kebygby e_]dbo y^_j

ijbhq_gv\ukhdhcl_fi_jZlmj_ ihjy^dZkhl_gfbeebhgh\]jZ^mkh\ 

2.

Ijhl_dZgb_ l_jfhy^_jguo j_Zdpbc \hafh`gh lhevdh ijb hq_gv

\ukhdbo l_fi_jZlmjZo ld g_h[oh^bfh ijb^Zlv y^jZf ^hklZlhqgh

[hevrmxdbg_lbq_kdmxwg_j]bx^eybok[eb`_gbygZhq_gvfZeu_

jZkklhygbyijbdhlhjuo\hafh`ghbokebygb_


38

3.

Kebygb_e_]dboy^_j



4.

n

1

0



4

2

3



1

2

1



He

H

H



+

+



.

5.

Hkgh\gZy ljm^ghklv ijb hkms_kl\e_gbb l_jfhy^_jghc j_Zdpbb

aZdexqZ_lky \ lhf qlh[u m^_j`Zlv \ukhdhl_fi_jZlmjgmx ieZafm

\gmljb mklZgh\db ?keb ieZafZ dhkg_lky kl_ghd mklZgh\db \

dhlhjhchgZgZoh^blkylhhgbjZkieZ\ylkyb ij_\jZlylky\ iZj

6.

< j_amevlZl_ l_jfhy^_jguo j_Zdpbc ijhl_dZxsbo gZ Khegp_

\u^_ey_lkywg_j]byg_h[oh^bfZy^ey`bagbgZA_fe_



39

MijZ`g_gby

MijZ`g_gb_ 

1.

Fh`gh\ h[hbokemqZyoldjZaf_jZfbZ\lhfh[beyijb^Zgguo

gZqZevguomkeh\byofh`ghij_g_[j_qv

2.

b iZkkZ`bjm



3.

Ih\_joghklvA_feb



4.

IjZ\ b fZevqbd b ^_\hqdZ FZevqbd \u[jZe kbkl_fm hlkq_lZ

k\yaZggmxk a_fe_c^_\hqdZ²k dj_kehfdZjmk_eb

5.

Z  hlghkbl_evgh A_feb [  hlghkbl_evgh \h^u \  hlghkbl_evgh

A_feb] hlghkbl_evghhkbdhe_kZ^ hlghkbl_evghA_feb

MijZ`g_gb_ 



1.

Ijhc^_ggucimlv2. Ijyfhebg_cgh

MijZ`g_gb_ 

1.

O

x

c

x

\

x

f

f



s

U

\



s

U

x

\

x



k

s

\o

= 10 


df + (–2 df) = 8 df;

x

f

x



k

s

fo

 dfdf df



2.

Z o


0

 f[ s



t

o

s



1

o

+ s



2

o

 f  ±f  f



\ x

t

o



0

s



t

o

 f f  f



MijZ`g_gb_ 

1.

=jZnbdfh^mey\_dlhjZkdhjhklbg_fh`_lgZoh^blvkyih^hkvx



Ot

ihkdhevdmfh^mev\_dlhjZkdhjhklb\k_]^Ziheh`bl_e_g=jZnbd

ijh_dpbb \_dlhjZ kdhjhklb fh`_l gZoh^blvky ih^ hkvx Ot,

ihkdhevdm agZd aZ\bkbl ijh_dpbb \_dlhjZ kdhjhklb hl \u[hjZ

kbkl_fudhhj^bgZl

2.

80

60



–90

v

x

,

dfq



t

q


40

MijZ`g_gb_ 



1.

I_j\uc Z\lhfh[bev ^\b]Zeky k [hevrbf mkdhj_gb_f ihkdhevdm

_]hkdhjhklvaZh^bgZdh\u_ijhf_`mldb\j_f_gb\hajZklZeZ[uklj__

2.

>Zgh


= 30 c

v

1

 fk



v

2

 fk



J_r_gb_

.

fk



5

,

1



k

30

fk



10

fk


55

2

1



2

=



=

=



t

v

v

a

GZclbZ.


Hl\_l fk

2

.



3.

>Zgh


= 12 c

v

2

– v



1

 fk


J_r_gb_

.

fk



5

,

0



k

12

fk



6

2

1



2

=

=



=

t



v

v

a

GZclbZ.


Hl\_l fk

2

.



MijZ`g_gb_ 

1.

>Zgh


v

1

 fk



= 4 c

= –20

fk


2

J_r_gb_


t

v

v

a

1

2



=



v

2

v



1

at =

 fk  ±fk

2



k  fk

GZclb v

2

.



Hl\_lv

2

 fk



2.

>Zgh


a

 fk

2

v

1

= 0



v

2

 fk



J_r_gb_

k

10



fk

0,2


fk

2

2



2

2

1



2

=

=



=

=



=

a



v

t

t

v

t

v

v

a

GZclbt.

Hl\_l k

3.

Y

[



W












41

4.

v

x

t

5

10



5

-5

5.

>eyl_eZ,Z  fk

2

^eyl_eZ,,Z  fk



2

.

MijZ`g_gb_ 



1.

>Zgh


= 5 c

Z

o



 fk

2

v

0

o

 dfq  fk



J_r_gb_

s

x

=

2



2

0

t



a

t

v

x

o

+



 fk

k



( )

2

k



5

fk


0,5

2

2



=

 f



GZclbs

x

.

Hl\_ls



x

 f



2.

>Zgh


= 20 c

Z

o



 fk

2

v

0

o

 fk



J_r_gb_

s

x

=

2



2

0

t



a

t

v

x

o

+



a

o

=



t

v

x

0





s

x

=

t



t

v

t

v

x

o

2



2

0

0



=

2



0

t

v

x

=

 fk



k  f

GZclbs

x

.

Hl\_ls



x

 f


MijZ`g_gb_ 

1.

>Zgh


s

3

 f



t

1

 k



J_r_gb_

s

1

s



2

s

3

= 1 : 3 : 5; s



1

: 2 


f = 1 : 5 



s

1

=

5



f

2

= 0,4 



f;

s

1

=



2

2

1



at



=

2

1

1



2

t

s

=

( )



2

k

1



f

0,4


2

= 0,8 



f/k

2

.



GZclb s

1

a.



Hl\_ls

1

 f fk



2

.

2.

>Zgh

s

5

 f



t

1

 k



t

5

 k



J_r_gb_

s

1

s



2

s

3

s



4

s

5

= 1 : 3 : 5 : 7 : 9; s



1

: 6,3 


f = 1 : 9 



s

1

=



5

f

6,3



= 0,7 

f;

s

1

=

2



2

1

at



=

2

1



1

2

t



s

=

( )



2

k

1



f

0,7


2

= 1,4 



f/k

2

;



v

5

at



5

 fk

2



k  fk



GZclbv

5

.



Hl\_lv

5

 fk



42

MijZ`g_gb_ 



1.

fk



2.

G_l ihkdhevdm b ^_j_\h b \hdaZe `_kldh k\yaZgu k ^jm]hc

kbkl_fhchlkq_lZ²A_fe_c

3.

Ijbmkeh\bbg_ih^\b`ghklbwlbol_ehlghkbl_evgh^jm]^jm]Z



4.

dfq fk



5*.

>Zgh


v

1

 dfq  fk



v

2

 fk



J_r_gb_

v

\

v



1

v

2

 fk fk  fk



v

a

v



2

– v

1

 fk ±fk  fk



GZclbv

\

v



a

.

Hl\_lv



\

 fkv

a

 fk



MijZ`g_gb_ 

AZdhgbg_jpbb\uihegy_lky\ kbkl_f_hlkq_lZk\yaZgghck A_fe_cb

\ kbkl_f_ hlkq_lZ k\yaZgghc k ih_a^hf \h \j_fy _]h

ijyfhebg_cgh]h b jZ\ghf_jgh]h ^\b`_gby g_ \uihegy_lky \

kbkl_f_ hlkq_lZ k\yaZgghc k ih_a^hf \h \j_fy _]h lhjfh`_gby

Bg_jpbZevghckbkl_fhcfh`ghkqblZlva_fexZ ih_a^²g_evay

MijZ`g_gb_

1.

>Zgh


Z  fk

2

m

 d]

J_r_gb_


IhhfmaZdhgmGvxlhgZ

ma

 d]


fk


2

 G


GZclbF.

Hl\_l G



2.

>Zgh


= 20 c

v

 fk


m

 l  

10

5



d]

J_r_gb_


ma

²hcaZdhgGvxlhgZ



=

t

v



=



t

mv

k



20

fk


4

d]

10



84

1

5





,

=

 G  dG



GZclbF.

Hl\_l dG



3.

>Zgh


m

1

m



2

a

1

 fk



2

a

2

 fk



2

F

1

= 1,2 H



J_r_gb_

IhhfmaZdhgmGvxlhgZ



F

1

m



1

a

1

F



2

m

2

a

2



Ldm

1

m



2

lhihemqZ_f

=

=



=

1

1



2

2

2



2

1

1



a

F

a

F

a

F

a

F

=



2

2

fk



0,08

G

1,2



fk

0,64


9,6 H.

GZclbF

2

.

Hl\_lF



2

 G


43

4.

>Zgh


= 0,5 

d]

F

A

= 10 H


F

L

= 5 H



F

C

= 2 H



J_r_gb_

IhhfmaZdhgmGvxlhgZma.



F

A

– F



L

– F

C



F



A

– F

L

– F



C

ma



=



d]

0,5


H

2

H



5

H

10



=





m



F

F

F

C

L

A

 fk

2

.



GZclbF

2

.



Hl\_l fk

2

.



5.

Ijb ^\b`_gbb \\_jo kdhjhklv b i_j_f_s_gb_ ijhlb\hiheh`gh

gZijZ\e_gu k kbehc ly`_klb mkdhj_gb_ ² khgZijZ\e_gh Ijb

^\b`_gbb\gbakdhjhklvi_j_f_s_gb_b mkdhj_gb_khgZijZ\e_guk

kbehcly`_klb

6.

Mkdhj_gb_ \k_]^Z khgZijZ\e_gh k

jZ\gh^_ckl\mxs_c

ijbeh`_gguod l_emkbeKdhjhklvb i_j_f_s_gb_fh]ml[ulv dZd

khgZijZ\e_guk jZ\gh^_ckl\mxs_cijbeh`_gguod l_emkbelZdb

ijhlb\hiheh`ghgZijZ\e_gu

MijZ`g_gb_

1.

GZ l_eh ^_ckl\mxl kbeZ ly`_klb

l

F

U

b kbeZ j_Zdpbb hihju N



U

kfjbk 

l

F

U

N

U

2.

G_ ij_\ukbl ld jZ\gh^_ckl\mxsZy ijbeh`_gguo kbe gZ

^bgZfhf_ljjZ\gZ

3.

>Zgh


m

1

 d]



m

2

 d]



a

 fk

2

J_r_gb_


 IhhfmaZdhgmGvxlhgZ

F

2x

m

2

a



x

 d]

fk


2

 G


IhfmaZdhgmGvxlhgZF

1x

= –F

2x

 ±G

 IhhfmaZdhgmGvxlhgZ



F

1x

m

1

a



x

 d]

fk


2

 G


IhfmaZdhgmGvxlhgZF

2x

= –F

1x

 ±G

  < i_j\hf kemqZ_ gblv f_`^m l_e_`dZfb gZlygmlZ

kbevg__

 IhhfmaZdhgmGvxlhgZ



F

x

= (m

1

m



2

)a



x

  d]d] 

fk


2

 G


GZclb F

1x

,

F

2x

F

x

.

Hl\_l F



1x

 ±GF

2x

 G F

1x

 GF

2x

=

 ±G \ i_j\hfkemqZ_ F



x

 G


44

MijZ`g_gb_



1.

>Zgh


g

fk



2

= 2 c

J_r_gb_


=

2

2



gt

=

( )



2

k

2



fk

10

2



2

 f



GZclbh.

Hl\_l f



2.

>Zgh


g

fk



2

= 80 c

f  f

J_r_gb_

=

2

2



gt



=

2

fk


10

f

0,8



2

2



=

g

h

= 0,4 


k.

GZclbt.

Hl\_l k

3.

>Zgh


g

fk



2

= 45

f

t

1

= 1 c




= 1 c

J_r_gb_


=

2

2



gt



=

2

fk


10

f

45



2

2



=

g

h

 k


s

1



2

2

1



gt

=

( )



2

k

1



fk

10

2



2

= 5 



f;

s

2



(

)

2



û

2

2



2

t

t

g

gt



=

=

( )



(

)

2



c

1

c



3

fk


10

2

k



3

fk


10

2

2



2

2





= 5 

f

GZclb ts



1

s

2

.

Hl\_l ks



1

 fs

2

 f


MijZ`g_gb_

>Zgh


v

 fk



v

1

= 0



g

 fk

2

J_r_gb_


=

t

v

t

v

v

=



1



=

2

fk


9,8

fk


9,8

=

g



v

=1 c;


=

2

2



gt

vt

 fk



k ±


( )

2

1



k

fk


9,8

2

2



 f


GZclbts.

Hl\_l k f

MijZ`g_gb_

1.


2.

KlZgpby m^Zey_lky hl A_feb ijb[eb`Zykv d Emg_ BaaZ

baf_g_gbc jZkklhygbc f_`^m ieZg_lZfb b klZgpb_c kbeZ __

ijbly`_gby d A_fe_ mf_gvrZ_lky Z kbeZ ijbly`_gby d Emg_



45

m\_ebqb\Z_lky Dh]^Z klZgpby gZoh^blky gZ k_j_^bg_ hgZ kbevg__

ijbly]b\Z_lkyd A_fe_ldfZkkZA_feb[hevr_fZkkuEmgu

3.

G_l


4.

Z ^_ckl\h\ZeZ[ ijbly`_gb_A_feb\ baaZ^_ckl\bykbeuly`_klb



5.

>Zijbly]b\Z_lkyghwlZkbeZ]hjZa^hf_gvr_kbeuly`_klbba

aZjZkklhygbcEmgZlZd`_ijbly]b\Z_lkyd wlhfmq_eh\_dm

MijZ`g_gb_



1.

>Zgh


g

fk



2

m

1

 d]



m

2

 ]  d]



m

3

 l  d]



m

4

 l  d]



J_r_gb_

F

l

mg





F

l

 fk



2

d] G



F

l

 fk



2

d] G



F

l

 fk



2

d] G  dG



F

l

 fk



2

d] 



10

5



G  dG

GZclb F

l1

F



l2

F

l3

F



l4

.

Hl\_lGGdGdG



2.

>Zgh


g

fk



2

;  m

 d]

J_r_gb_


F

l

mg



 d]

fk



2

 G


GZclbF

l

.



Hl\_lF

l

 G



3.

>Zgh


fk



2

;

F

l

 G



J_r_gb_

F

l

mg





=

2

l



fk

10

G



819,3

=

g



F

 d]

GZclbF

l

.



Hl\_l d]

4.

G_lihkdhevdm\ukhlZihe_lZkjZ\gbfZk jZaf_jZfbA_febKbem

ly`_klb fh`gh jZkkqblZlv ih nhjfme_ F

l

=



2

a

j



a

)

(



h

R

m

F

G

+

 ]^_ h —



\ukhlZgZ^A_fe_c

5.

GZyklj_[Z^_ckl\m_lkbeZly`_klbb _kebhgkeh`bldjuevylh

hgmiZ^_lgZA_fex

6.

GZjZkklhygbbR

a

; 3R



a

(R

a

²jZ^bmkA_feb ihkdhevdmF



l

~

2



a

)

(



1

h

R

+

MijZ`g_gb_



1.

KbeZ F

U

fh]eZ^_ckl\h\Zlvlhevdh\ gZijZ\e_gbb



2.

KbeZ ^_ckl\h\ZeZ gZ rZjbd gZ mqZkldZo    

RZjbdih\hjZqb\Zekyih^^_ckl\b_f\g_rgbokbe

3.

KbeZ^_ckl\h\ZeZgZl_ehgZ\_jgydZgZmqZkldZo:<&'GZl_eh

fh]eZ^_ckl\h\ZlvkbeZb gZhklZevguomqZkldZo


46

MijZ`g_gb_



1.

>Zgh


r

 kf f



v

 fk


J_r_gb_

Z =


r

v

2

=



(

)

f



21

,

0



fk

20

2



fk


2

.

GZclba.



Hl\_lZ

fk



2

.

2.

>Zgh

R

 kf f



T

 k


J_r_gb_

Z =


R

v

2

=



T

R

T

l

π

=



2

Z =



R

T

R

2

2



2

4

π



=

2

2



4

T

R

π

=



=

( )


( )

2

2



k

60

f



02

,

0



14

,

3



4



2



10

-4

fk



2

.

GZclba.



Hl\_lZ

2



10

-4



fk

2

.



3.

Z

1



=

r

v

2



Z

2

=



r

v

r

v

2

2



2

2

/



=

= 2a



1

ml\_j`^_gb_\_jgh



4.

>Zgh


T

1

 k



T

2

 k



J_r_gb_

(

)



.

4

:gZeh]bqgh



.

4

2



2

2

2



2

2

1



2

2

1



2

1

1



T

R

a

T

R

R

T

R

R

v

a

π

=



π

=

π



=

=

.



3600

c

60



c

3600


vgh

Ke_^h\Zl_e

2

2

2



1

2

1



=





=








=

T



T

a

a

GZclb


2

1

a



a

.

Hl\_l



2

1

a



a

= 3600.


5.

>Zgh


F

a

= 6



10

24



d]

F

e



= 6

10



22

d]

G=6,67

10

-11



2

2

d]



f

G



=

df 

= 3,84



10



8

f

J_r_gb_



Z F

]j

=



2

e

a



r

F

F



G

= 6,67


10

-11



2

2

d]



f

G



×

2

8



22

24

f



10

(3,84


d]

10

7



d]

10

6





×



1,9

10



20

G

[ Z



p

=

a



]j

F

F

=

d]

10



6

G

10



9

,

1



24

20



3,17



10

-5



fk

2

;



\ =

r

a

p

=



f

10

84



,

3

fk



10

17

,



3

8

2



5





fk

GZclbF

]j



Z



p

v.

Hl\_lF

]j



1,9

10



20

Gv

fk



Z

p

= 3,17



10

-5



fk

2

.



47

MijZ`g_gb_



1.

>Zgh


h

 df 

10

6



f

F

a



= 6

10



24

d]

R

a

= 6,4


10

6



f

= 6,67

10



-11

2

2



d]

f

G



J_r_gb_


=

+



h

R

M

G

v

a

a



=

+





=



f

10



6,4

f

10



(2,6

d]

10



6

d]

f



G

10

6,67



6

6

24



2

2

11



 fk  dfk

GZclbv.

Hl\_l dfk

2.

>Zgh


v

 dfk  

10



fk

g

e



fk

2

J_r_gb_



=

=



=

e

e



g

v

r

r

v

r

2

e



2

e

(



)

2

2



3

fk


1,6

fk


10

1,67


=

= 1,7



10

6



f  

10



3

df


GZclb r

e

.

Hl\_lr

e

= 1,7



10

3



df

MijZ`g_gb_



1.

>Zgh


v

1x

= –v

2x

 fk

= 0,2

d]

J_r_gb_



p

1x

mv

1x

 d]

fk  d]



fk


p

2x

= – p

1x

 ±d]

fk



<_dlhjubfimevkh\fZrbgg_jZ\guldhgb

ijhlb\hiheh`gh

gZijZ\e_gu

Fh^meb


\_dlhjh\bfimevkh\jZ\gu

GZclb p

1x

p

2x

.

Hl\_lp

1x

 d]

fkp



2x

 ±d]

fk


2.

>Zgh


v

1

 dfq  fk



v

2

 dfq  fk



m

 l  d]

J_r_gb_

j = m





m(v

2

– v



1

) =


 d]

fk ± fk  d]



fk


GZclb



p.

Hl\_l



p



 d]

fk



MijZ`g_gb_

1.

Ih aZdhgm khojZg_gby bfimevkZ eh^dZ gZqg_l ^\b]Zlvky \

klhjhgmijhlb\hiheh`gmx^\b`_gbxq_eh\_dZ


48

2.

>Zgh


m

1

 l



m

2

 l



v

2

 fk



J_r_gb_

AZibr_faZdhgkhojZg_gbybfimevkZ



m

1

v

1

= (m



1

m

2

)v



2



v

1

=

2



1

2

1



v

m

m

m

+

=



=

fk


0,5

35

l



l

28

l



35

+



 fk

GZclb v

1

.

Hl\_lv

1

 fk



MijZ`g_gb_

1.

>Zgh


v

e

 fk



m

\

 d]



v

\

 fk



m

e

 d]



J_r_gb_

AZibr_faZdhgkhojZg_gbybfimevkZ

(m

e

m



\

)v

e

m



\

v

\

m



e

v



=

e

\

\



e

\

e



)

(

m



v

m

v

m

m

+

+



=

=

(



)

d]

200



fk

8

d]



5

fk


2

d]

5



d]

200


+



+

 fk

GZclb v.

Hl\_l fk



2.

>Zgh


m

j

 ]  d]



m

i

 ]  d]



v

i

 fk



J_r_gb_

AZibr_faZdhgkhojZg_gbybfimevkZ



m

j

v

j

=m



i

v

i



v

j

=



j

i

i



m

v

m

=



d]

0,3



fk

100


d]

0,1


fk

GZclb v

j

.

Hl\_lv

j



fk



MijZ`g_gb_

1.

Dhe_[Zl_evgufb kbkl_fZfb y\eyxlky [ ] _ G_ y\eyxlky

dhe_[Zl_evgufbZ\^

2.

Z Ih^^_ckl\b_fkbemijm]hklbrgmjh\[ g_l\ rgmju^bkd

] ^Zy\ey_lky

MijZ`g_gb_



1.

:fieblm^Z : qZklhlZ

ν

 i_jbh^ L ² ihklhyggu_ Fv —



i_j_f_ggu_

2.

>Zgh


ν

=

=p



J_r_gb_

=

k

5



,

0

=p



2

1

1



=

=

ν



GZclb T.

Hl\_l k



49

3.

>Zgh


T

 k


J_r_gb_

ν

=



=p

2

c



5

,

0



1

1

=



=

T

GZclb


ν

.

Hl\_l


ν

 =p


4.

>Zgh


= 600

t

 fbg k

J_r_gb_

ν

=



;

1

T

=p

10

c



60

600


=

=

=



ν

=



t

n

n

t

T

GZclb


ν

.

Hl\_l


ν

 =p


5.

kfkfkfkf



6.

>Zgh


= 10 

kf

ν



= 0,5 

=p

t

 k

J_r_gb_


=

=p

5



,

0

1



1

=

ν



= 2 c

 AZ  k l_eh kh\_jrZ_l ihegh_

dhe_[Zgb_b ijhc^_limlv= 4:  kf

GZclb S.

Hl\_l kf

7.

Dhe_[exlky\ h^bgZdh\uo nZaZo \ kemqZyo [  ^  Dhe_[exlky \

ijhlb\hiheh`guonZaZo\ kemqZyoZ \ ] _ 

MijZ`g_gb_



1.

?

ihe



GZijZ\

e_gb_


^\b`_gby

fZylgbdZ


F

mij


v

?

i



?

d

K lj_



gb_f

;_a lj_

gby

Hl< d H


mf_gv

m\_e


mf_gv

m\_e


mf_gv

g_

baf_g



HlH d :

m\_e


mf_gv

.

m\_e



mf_gv

mf_gv


g_

baf_g


Hl: d H

mf_gv


m\_e

mf_gv


m\_e

mf_gv


g_

baf_g


HlH d <

m\_e


mf_gv

.

m\_e



mf_gv

mf_gv


g_

baf_g


2.

Z   >`  >` [   >`  >`  >` \   >` \h \k_o

kemqZyo

MijZ`g_gb_



1.

Kihkh[gu kh\_jrZlv k\h[h^gu_ dhe_[Zgby l_eZ [  _ 

\ugm`^_ggu_dhe_[Zgby²\k_l_eZ

2.

Z ^ZgZijbf_jkljmgZfmaudZevgh]hbgkljmf_glZ[ g_l



50

MijZ`g_gb_



1.

Z 

fZylgbdZ jZ\gZ qZklhl_ fZylgbdZ  m fZylgbdZ  qZklhlZ [hevr_

q_fm fZylgbdZm fZylgbdZqZklhlZf_gvr_q_fm fZylgbdZ]

ldbo^ebgub khhl\_lkl\_gghkh[kl\_ggu_qZklhlukh\iZ^Zxl

2.

FZevqbdb \h^ZgZqbgZxldhe_[Zlvky\ ijhlb\hnZa_



3.

Q_j_ak  L = 1/

ν

 k 


MijZ`g_gb_

1.

>Zgh


λ

 f


T

 k


J_r_gb_

fk


20

k

13,5



f

270


=

=

λ



=

T

v

GZclb v.

Hl\_l fk

2.

>Zgh


ν

 =p


v

 fk

J_r_gb_

f

7



,

1

=p



200

fk


340

=

=



ν

=

λ



v

GZclb


λ

.

Hl\_l


λ

 f


3.

2.

>Zgh


v

 fk

λ

 f


J_r_gb_

k

4



fk

1,5


f

6

=



=

λ

=



T

v

GZclbT.

Hl\_l= 4 c.

MijZ`g_gb_

E_lysZyilbpZkha^Z_lbgnjZa\mdh\u_\hegu

MijZ`g_gb_



1. 

DhfZjA\mdkha^Z\Z_fucbfkZfuc\ukhdbc



2.

Mf_gvrblkyihkdhevdmqZklhlZ__ \jZs_gbylZd`_mf_gvrblky



3.

Ijb ih\ur_gbb l_fi_jZlmju kljmgZ jZkly]b\Z_lky i_jbh^ __

dhe_[Zgbc m\_ebqb\Z_lky qZklhlZ b khhl\_lkl\_ggh \ukhlZ

a\mqZgbymf_gvrZ_lky

MijZ`g_gb_

1.

G_lf_`^mA_fe_cb Emghcg_lmijm]hckj_^uihdhlhjhcfh`_l

jZkijhkljZgylvkya\md

2.

A\mdh\u_\hegujZkijhkljZgyxlkyihgblb



51

MijZ`g_gb_



1.

>Zgh


λ

 f


T

 k

J_r_gb_

fk


1450

k

0,002



f

9

,



2

=

=



λ

=

T



v

GZclb v.

Hl\_l fk

2.

>Zgh


v

1

 fk



v

2

 fk



v

3

 fk



ν

 =p


J_r_gb_

;

f



47

,

0



=p

725


fk

340


1

1



=

ν

=



λ

v

;

f



05

,

2



=p

725


fk

1483


2

2



=

ν

=



λ

v

.

f



59

,

7



=p

725


fk

5500


3

3



=

ν

=



λ

v

GZclb


λ

1



λ

2



λ

3

.

Hl\_l

λ

1



f


λ

2



f

λ

3



f


3.

A\md [m^_l jZkijhkljZgylvky b ih f_lZeem b ih \ha^mom b

q_eh\_dmkeurbl^\Zm^ZjZ

4.

>Zgh


t

a\

 k



v

a\

 fk



t

iZj


 k

S

a\

S



iZj

J_r_gb_


S

a\

v



a\

t

a\

S



iZj

v

iZj

t

iZj


S

a\

S



iZj

v

a\

t

a\

v



iZj

t

iZj


fk



20

k

34



k

2

fk



340

iZj


a\

a\

iZj



=

=



=

t

t

v

v

GZclbv

iZj

.

Hl\_lv

iZj

 fk



5.

Dh]^Z\b^bfu_b keurbfu_m^ZjugZqbgZxlkh\iZ^Zlvkgh\Zlh

wlhagZqblqlhq_eh\_dkeurblij_^u^msbci_j_^\b^bfufm^Zj

MijZ`g_gb_



1.

Kms_kl\m_l



2.

FZ]gblgh_ ihe_ [m^_l ^_ckl\h\Zlv gZ klj_edm k gZb[hevr_c

kbehc \ lhqd_ N k gZbf_gvr_c ² \ lhqd_ F K jZkklhygb_f

fZ]gblgh_ihe_hkeZ[_\Z_l

MijZ`g_gb_

1.

Z ?klvwlhlhqdbb K[ \ lhqd_:.



2.

GZ iZju lhq_d P



QX



Y

kh

klhjhgu g_h^ghjh^gh]h fZ]gblgh]h



ihey ^_ckl\mxl kbeu h^bgZdh\u_

dZd ih fh^mex lZd b

ih

gZijZ\e_gbx ld PO QOXO =



YO.

,

,



;

<

3

4



2

52

MijZ`g_gb_



1.

2.

3.

K_\_jguc ihexk gZoh^blky kijZ\Z Z x`guc ke_\Z Bo

iheh`_gb_fh`ghbaf_gblvihf_gy\iheyjghklvkhe_ghb^Z

4.

Lhd[m^_ll_qvhllhqdbd lhqd_N.



5.

KijZ\Z ² k_\_jguc ihexk ke_\Z ± x`guc  ih ijZ\bem ijZ\hc

jmdb 

6.

< i_j\hf kemqZ_ \aZbfh^_ckl\b_ h[mkeh\e_gh fZ]gblgufb

kbeZfb\h\lhjhf±dmehgh\kdbfb

MijZ`g_gb_

1.

IhijZ\beme_\hcjmdbhij_^_ey_fqlh\ijZ\h



2.

Ih ijZ\bem e_\hc jmdb hij_^_ey_f qlh lhd l_q_l hl lhqdb d

lhqd_ A b ke_^h\Zl_evgh \_jogbc ihexk bklhqgbdZ lhdZ

ih^dexq_g d hljbpZl_evghfm ihexkm Z gb`gbc ² d

iheh`bl_evghfm


53

3.

GZ e_\hf jbkmgd_ e_\uc ijh\h^gbd ^\b`_lky \\_jo ijZ\uc

ijh\h^gbd²\gbaGZijZ\hfjbkmgd_e_\ucijh\h^gbd^\b`_lky

\gbaijZ\ucijh\h^gbd²\\_jo



4.

v

U

F

U

5.

Ih ijZ\bem e_\hc jmdb hij_^_ey_f qlh wlh iheh`bl_evgh

aZjy`_ggZyqZklbpZ

MijZ`g_gb_



1.

>Zgh


= 4 A;  = 0,2 H

l

 kf f

J_r_gb_

Le


5

,

0



:

4

f



0,1

G

2



,

0

=



=

=



Il

F

B

GZclbB.

Hl\_l Le

2.

FZ]gblgZy bg^mdpby g_ baf_gy_lky hgZ ihklhyggZy \_ebqbgZ

Baf_gy_lkylhevdhkbeZ^_ckl\mxsZygZijh\h^gbd²hgZlZd`_

dZdb lhdmf_gvrZ_lky\ jZaZ

MijZ`g_gb_

FZ]gblguc ihlhd ijhgbau\Zxsbc dZlmrdm D

2

 fh`gh f_gylv



iml_fbaf_g_gby\aZbfghchjb_glZpbbdZlmr_db baf_g_gb_fkbeu

lhdZj_hklZlhfbebaZfudZgb_fjZafudZgb_fdexqZD

MijZ`g_gb_

1.

Baf_gblvfZ]gblgucihlhdq_j_adZlmrdmD

2

iml_fhibkZgguf\



mijZ`g_gbb

2.

Bg^mdpbhgguclhd\hagbdZ_l\ kemqZ_] g_\hagbdZ_l\ kemqZyo

Z [ \ ^ 

MijZ`g_gb_



1.

>Zgh


J_r_gb_

54

ν

 =p



=

k

02



,

0

=p



50

1

1



=

=

ν



GZclb T.

Hl\_l k



2.

Ih]jZnbdmgZoh^bfqlhT=

k

60

1



,    

ν

=



( )

c

60



1

1

1



=

T

 =p


:  f:

MijZ`g_gb_

Wlbiheygbq_fg_hlebqZxlkyb kms_kl\h\Zeb[u[_adZlmrdbK

MijZ`g_gb_



1.

>Zgh


= 10

-7

c



J_r_gb_

ν

=



=p

10

c



10

1

1



7

7

=



=



T

GZclb

ν

.



Hl\_l

ν

= 10



7

=p


2.

>Zgh


= 8,3

10



-7

c

= 3

10

8



fk

J_r_gb_


ct = 3

10



8

fk


8,3


10

-7



k  f

GZclb S.

Hl\_l= 249 f

3.

>Zgh


λ

 f


= 3

10



8

fk


J_r_gb_

ν

=



=p

10

5



f

600


fk

10

3



5

8



=

=



λ

c

GZclb


ν

.

Hl\_l



ν

= 5


10

5



=p

4.

AgZy kdhjhklv jZkijhkljZg_gby kb]gZeZ k  hgZ jZ\gZ kdhjhklb

k\_lZ  b \j_fy _]h jZkijhkljZg_gby t g_ljm^gh jZkkqblZlv

ijhc^_ggh_ jZkklhygb_ S AZ \j_fy kb]gZe ijhc^_l jZkklhygb_ S

lm^Zb h[jZlghbke_^h\Zl_evghct/2.

5.

G_la\mdh\u_\hegug_jZkijhkljZgy_lky\ \Zdmmf_

MijZ`g_gb_

1.

K

12



6

²Z_f Li

6

3

²Z_f Ca



40

20

²Z_f



2. 6, 3, 20.

55

3.

=

Z_f


1

Z_f


6

 jZa


4.

Z [ Z_f\ \ jZa] ^ _ ` 



5.

N

O



O

K

14



7

14

7



0

1

0



14

1

6



14

6

=



+



+



_

²Zahl


MijZ`g_gb_

H

O



He

N

1



1

17

8



4

2

14



7

+



+

 Bf__f             Ke_^h\Zl_evgh

aZdhgkhojZg_gbyaZjy^Z\uihegy_lky

MijZ`g_gb_



1.

< y^j_ ZlhfZ [_jbeeby Be

9

4



gmdehgh\ ²  ijhlhgh\ ² 

g_cljhgh\²= 9 – 4 = 5.



2.

D

39



19

 Z     [  N



p

Z

   \      \ we_f_glZjguo

we_dljbq_kdboaZjy^Zo ] N



e

N



p

 ^ _ ` :  a =

A – Z =

 ±  b  Z_f



3.

Qbkeh ijhlhgh\  khhl\_lkl\_ggh we_dljhgh\  \ Zlhf_ jZ\gh _]h

ihjy^dh\hfm ghf_jm \ lZ[ebp_ F_g^_e__\Z ke_^h\Zl_evgh Z

eblbc[ nlhj

MijZ`g_gb_

Wlb Zlhfu bf_xl h^bgZdh\u_ fZkku gh bo obfbq_kdb_ k\hckl\Z

jZaebqguWlhh[tykgy_lkyl_fqlhm gbojZagu_aZjy^h\u_qbkeZ

ZagZqblb dhebq_kl\hwe_dljhgh\

MijZ`g_gb_

1.

He

Th



U

4

2



234

90

238



92

+



.

2.

~

U



Pa

;

~



Pa

Th 


0

0

0



1

234


92

234


91

0

0



0

1

234



91

234


90

+

+



+

+





e

e

 Ke_^h\Zl_evgh \

j_amevlZl_^\mo

β

jZkiZ^h\



MijZ`g_gb_

Ld gmdehgu bf_xl fZkkm lh f_`^m gbfb ^_ckl\mxl kbeu

]jZ\blZpbhggh]hijbly`_gby


56

AZ^Zqbij_^eZ]Z_fu_^eyih\lhj_gby

b ijbqZkZonbabdb\ g_^_ex

1.

>ey\_dlhjZ a

U

bf__fZ     [ Z



y

 ± ±\ _Z



y

| =


 ] 

2

2



)

5

2



(

)

5



,

0

5



,

0

(



|

|



+

=



a

U

= 3.



>ey\_dlhjZ b

U

bf__fZ     [ b



y

 ±  \ _b



y

_ ]

2

2

)



0

4

(



)

1

4



(

|

|



+



=

b

U

= 5.



>ey\_dlhjZ c

U

bf__fZ     [ c



y

 ± \ _c



y

_ ]

2

2

)



1

1

(



)

4

6



(

|

|





=

c

U

= 2.



>ey\_dlhjZ d

U

bf__fZ    ± [ d



y

 ±± ±\ _d



y

_ ]

2

2

)



0

4

(



)

6

3



(

|

|



+



=

d

U

= 5


>ey\_dlhjZ



e

bf__fZ  ±   [ e

y

 ±± ±  \

|e

y

_ ] 

2

2

))



4

(

1



(

)

5



,

0

5



,

0

(



|

|



+



=

e

U

= 3.


2. a

x

= 0, b



x

=

|



b

U

c



x

= 0, d



x

=

|



d

U



.

3.

Z (0;2),  ± [ s



x

= 12 – 0 = 12, s



y

 ±±  ±\ _s



x

| = 12,


|s

y

| = 5;


] 

2

2



)

2

3



(

)

0



12

(

|



|



+

=



s

U

= 13.



4.

























x

y

B

A

s

AB

=

2



2

))

2



(

3

(



))

8

(



4

(



+



 LZddZdimlvg_fh`_lij_\ukblv

i_j_f_s_gby fh^mevdhlhjh]h_klvgZbf_gvr__jZkklhygb_f_`^m

gZqZevghcb dhg_qghclhqdZfbimlb lhhgfh`_l[ulveb[hjZ\_g

eb[h[hevr_i_j_f_s_gbyghgb \dh_fkemqZ_g_f_gvr__]h

5.

Ijyfhebg_cguf jZ\ghf_jguf ^\b`_gb_f gZau\Z_lky lZdh_

^\b`_gb_ ijb dhlhjhf aZ h^bgZdh\u_ ijhf_`mldb \j_f_gb l_eh

kh\_jrZ_l h^bgZdh\u_ i_j_f_s_gby \^hev g_dhlhjhc hkb  lZd dZd

^\b`_gb_ ijyfhebg_cgh_  Ihwlhfm s

x

v



x

t

 ]^_ v



x

² ihklhyggZy



57

\_ebqbgZ oZjZdl_jbamxsZy kdhjhklv i_j_f_s_gby Bkoh^y ba

mjZ\g_gbyo = o

0

s



x

ihemqbfx

0

v



x

t.

6.

>Zgh


v

x

 fkx

0

 f


J_r_gb_

x(t) = x

0

v



x

t



x(t) = 3 + 5t.

GZclbx(t).

Hl\_lx(t) = (3 + 5t f



7.

















x

i

x

l

x

\

X




Download 488,4 Kb.

Do'stlaringiz bilan baham:
1   ...   5   6   7   8   9   10   11   12   13




Ma'lumotlar bazasi mualliflik huquqi bilan himoyalangan ©hozir.org 2024
ma'muriyatiga murojaat qiling

kiriting | ro'yxatdan o'tish
    Bosh sahifa
юртда тантана
Боғда битган
Бугун юртда
Эшитганлар жилманглар
Эшитмадим деманглар
битган бодомлар
Yangiariq tumani
qitish marakazi
Raqamli texnologiyalar
ilishida muhokamadan
tasdiqqa tavsiya
tavsiya etilgan
iqtisodiyot kafedrasi
steiermarkischen landesregierung
asarlaringizni yuboring
o'zingizning asarlaringizni
Iltimos faqat
faqat o'zingizning
steierm rkischen
landesregierung fachabteilung
rkischen landesregierung
hamshira loyihasi
loyihasi mavsum
faolyatining oqibatlari
asosiy adabiyotlar
fakulteti ahborot
ahborot havfsizligi
havfsizligi kafedrasi
fanidan bo’yicha
fakulteti iqtisodiyot
boshqaruv fakulteti
chiqarishda boshqaruv
ishlab chiqarishda
iqtisodiyot fakultet
multiservis tarmoqlari
fanidan asosiy
Uzbek fanidan
mavzulari potok
asosidagi multiservis
'aliyyil a'ziym
billahil 'aliyyil
illaa billahil
quvvata illaa
falah' deganida
Kompyuter savodxonligi
bo’yicha mustaqil
'alal falah'
Hayya 'alal
'alas soloh
Hayya 'alas
mavsum boyicha


yuklab olish