ГДЗ. Физика 9кл_Перышкин_Гутник_2001

4.

vx

5

-5

5

10

t

5. >ey l_eZ,Z

f k2 ^ey l_eZ,,Z

f k2.

MijZ`g_gb_

1.

>Zgh

J_r_gb_

t = 5 c

t + axt

2

2

2

Z

f k2

s

= v

0

f k k

0,5

(5 )

=

o

x

2

2

v0o

df q f k

f

GZclb sx.

Hl\_l sx

f

2.

>Zgh

J_r_gb_

t = 20 c

t + axt

2

; ao = − v0x

s

t − v0x t

2

Z

f k2

s

= v

0

= v

0

= v0x t =

o

x

2

t

x

2t

2

v0o

f k

f k

k

f

GZclb sx.

Hl\_l sx

f

MijZ`g_gb_

1.

>Zgh

J_r_gb_

s3

f

s1 : s2 : s3 = 1 : 3 : 5; s1 : 2 f = 1 : 5 s1 = 2

5 = 0,4 f;

t1

k

at

2

a =

2s

2

0,4

2

1

1

s1 =

2

t12

=

(1

)2

= 0,8 f/k

.

GZclb s1, a.

Hl\_l s1

f a

f k2.

2.

>Zgh

J_r_gb_

s5

f

s1 : s2 : s3 : s4 : s5 = 1 : 3 : 5 : 7 : 9; s1 : 6,3 f = 1 : 9

t1

k

s1 = 6,3

5 = 0,7 f;

t5

k

at

2

a =

2s

2

0,7

2

1

1

s1 =

2

t12

=

(1

)2

= 1,4 f/k

;

v5

= at5

f k2

k

f k

GZclb v5.

Hl\_l v5

f k

41

MijZ`g_gb_

1.

f k

2.

G_l ihkdhevdm b

^_j_\h b \hdaZe

`_kldh

k\yaZgu k ^jm]hc

kbkl_fhc hlkq_lZ²A_fe_c

3.

Ijb mkeh\bb g_ih^\b`ghklb wlbo l_e hlghkbl_evgh ^jm] ^jm]Z

4.

df q f k

>Zgh

J_r_gb_

5*.

v1

df q

f k

v\ = v1 + v2

f k f k

f k

v2

f k

va = v2 – v1

f k ±f k

f k

GZclb v\, va.

Hl\_l v\

f k va f k

MijZ`g_gb_

AZdhg bg_jpbb \uihegy_lky \ kbkl_f_ hlkq_lZ k\yaZgghc k A_fe_c b

\ 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_jpbZevghc kbkl_fhc fh`gh kqblZlv a_fex Z ih_a^²g_evay

MijZ`g_gb_

>Zgh

J_r_gb_

1.

Z

f k2

Ih hfm aZdhgm GvxlhgZ

m

d]

F = ma

d] f k2 G

GZclb F.

Hl\_l F

G

>Zgh

J_r_gb_

2.

t = 20 c

F = ma ²hc aZdhg GvxlhgZ

v

f k

v

F

mv

1,84 10

5

4

m

l 105 d]

a =

=

=

=

G

dG

20

t

t

GZclb F.

Hl\_l F dG

>Zgh

J_r_gb_

3.

m1 = m2

Ih hfm aZdhgm GvxlhgZ

a1

f k2

F1 = m1a1; F2 = m2a2. L d m1 = m2 lh ihemqZ_f

a2

f k2

F1

=

F2

F =

a2 F 1

=

0,64

2

1,2

= 9,6 H.

F1

= 1,2 H

2

2

a1

0,08

GZclb F2.

Hl\_l F2 G

a1

a2

42

>Zgh			J_r_gb_
4.
m = 0,5 d]			Ih hfm aZdhgm GvxlhgZ F = ma.
FA = 10 H			F = FA – FL – FC FA – FL						– FC = ma
FL = 5 H			a = FA − F − FC = 10 H − 5 H − 2 H f k2.
FC = 2 H
			Hl\_l a		f k2.			0,5
GZclb F2.
					m
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 \gba kdhjhklv i_j_f_s_gb_ b mkdhj_gb_ khgZijZ\e_gu k
kbehc ly`_klb
6.	Mkdhj_gb_ \k_]^Z				khgZijZ\e_gh				k jZ\gh^_ckl\mxs_c
ijbeh`_gguo d l_em kbe Kdhjhklv b i_j_f_s_gb_ fh]ml [ulv dZd
khgZijZ\e_gu k jZ\gh^_ckl\mxs_c ijbeh`_gguo d l_em kbe lZd b
ijhlb\hiheh`gh gZijZ\e_gu
				MijZ`g_gb_
1.	GZ l_eh ^_ckl\mxl kbeZ ly`_klb F							b kbeZ j_Zdpbb hihju N
kf jbk

N

2.
	G_ ij_\ukbl		l d	jZ\gh^_ckl\mxsZy					ijbeh`_gguo kbe gZ
						F
^bgZfhf_lj jZ\gZ
>Zgh		J_r_gb_
3.
m1	d]	Ih hfm aZdhgm GvxlhgZ
m2	d]	F2x =	2ax d] f k2 G
a	f k2	Ih fm aZdhgm GvxlhgZ F1x = –F2x								±G
		Ih hfm aZdhgm GvxlhgZ
		F1x =	1ax d] f k2 G
		Ih fm aZdhgm GvxlhgZ F2x = –F1x								±G
		kbevg__
		Ih hfm aZdhgm GvxlhgZ
		Fx = (m1 + m2)ax d] d] f k2 G
	F1x,	Hl\_l F1x ±G F2x G F1x G F2x =
F2x, Fx.		±G \ i_j\hf kemqZ_ Fx								G

43

MijZ`g_gb_

>Zgh

J_r_gb_

1.

g ≈ f k2

gt

2

10

2

2

t = 2

h =

=

(2 )

f

GZclb h.

Hl\_l h

f

2

2

>Zgh

J_r_gb_

2.

g ≈ f k2

2

h =

gt

t =

2h

=

2 0,8

= 0,4 k.

f

f

2

h = 80 c

Hl\_l t k

g

10

GZclb t.

2

>Zgh

J_r_gb_

3.

g ≈ f k2

2

h =

gt

t =

2h

=

2 45

h = 45 f

10

2

k

t1 = 1 c

2

g

gt12

10

2 (1 )2

t = 1 c

s1

=

=

= 5 f;

2

2

s2

=

gt 2

−

g(t − t )2

=

2

2

2 (3 c −1 c)2

=

10

2 (3 )2

−

10

= 5 f

GZclb t, s1, s2.

2

Hl\_l t

k s1

f s2 f

2

>Zgh

J_r_gb_MijZ`g_gb_

v

f k

g =

v − v1

=

v

t =

v

=

9,8

=1 c;

g

f k2

2

9,8

v1

= 0

t

t

g

s = vt −

gt 2

k ±

9,8

2 (1 )2

f k

f

2 k s

2

GZclb t, s.

Hl\_l t

f

MijZ`g_gb_

1.

<k_ l_eZ iZ^Zxl gZ a_fex ih^ ^_ckl\b_f kbeu ly`_klb

2.

KlZgpby

m^Zey_lky

hl A_feb

ijb[eb`Zykv d Emg_

Ba aZ

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_

44

m\_ebqb\Z_lky Dh]^Z klZgpby gZoh^blky gZ k_j_^bg_ hgZ kbevg__ ijbly]b\Z_lky d A_fe_ l d fZkkZ A_feb [hevr_ fZkku Emgu

G_l

3. Z ^_ckl\h\ZeZ [ ijbly`_gb_ A_feb \ ba aZ ^_ckl\by kbeu ly`_klb 4. >Z ijbly]b\Z_lky gh wlZ kbeZ ]hjZa^h f_gvr_ kbeu ly`_klb ba aZ5. jZkklhygbc EmgZ lZd`_ ijbly]b\Z_lky d wlhfm q_eh\_dm

MijZ`g_gb_

1.

>Zgh

J_r_gb_

g ≈ f k2

Fl = mg

m1

d]

Fl

f k2 d]

G

m2

]

d]

Fl

f k2 d]

G

m3

l

d]

Fl

f k2 d]

G

dG

m4

l

d]

F

f k2 d]

105

G

dG

GZclb Fl1, Fl2, Fl3, Fl4.

Hl\_l G G dG dG

2.

>Zgh

J_r_gb_

g ≈ f k2; m d]

F = mg

d] f k2

G

GZclb Fl.

Hl\_l Fl

G

3.

>Zgh

J_r_gb_

g ≈ f k2;

Fl = mg m =

F

=

819,3

Fl

2

d]

G

g

10

GZclb Fl.

Hl\_l m

d]

4.

G_l ihkdhevdm \ukhlZ ihe_lZ kjZ\gbfZ k jZaf_jZfb A_feb Kbem

ly`_klb fh`gh jZkkqblZlv ih nhjfme_ Fl = G

m

]^_ h —

(R + h)2

\ukhlZ gZ^ A_fe_c

5.

GZ yklj_[Z ^_ckl\m_l kbeZ ly`_klb b _keb hg keh`bl djuevy lh

hg miZ^_l gZ A_fex

1

6. GZ jZkklhygbb Ra; 3Ra (Ra ²jZ^bmk A_feb ihkdhevdm Fl~

(R +h)2

MijZ`g_gb_

1. KbeZ F

fh]eZ ^_ckl\h\Zlv lhevdh \ gZijZ\e_gbb

2.

KbeZ ^_ckl\h\ZeZ gZ rZjbd gZ mqZkldZo

RZjbd ih\hjZqb\Zeky ih^ ^_ckl\b_f \g_rgbo kbe

3.

KbeZ ^_ckl\h\ZeZ gZ l_eh gZ\_jgydZ gZ mqZkldZo :<&'GZ l_eh

fh]eZ ^_ckl\h\Zlv kbeZ b gZ hklZevguo mqZkldZo

45

MijZ`g_gb_

1.

>Zgh

J_r_gb_

r

kf

f

v

2

(20

2

v

=

=

)

≈

f k2.

f k

Z

r

0,21

≈

f k2.

GZclb a.

Hl\_l Z

2.

>Zgh

J_r_gb_

R

kf

f

=

v

2

; v =

l

=

2πR

Z =

4π

2

R

2

=

4π

2

R

=

T

k

Z

R

T

T

T 2 R

T 2

=

4 (3,14)2 0,02

≈ 2 10-4 f k2.

(60

)2

Hl\_l Z ≈ 2 10-4 f k2.

GZclb a.

3. Z1 =

v2

; Z2

=

v2

= 2

v2

= 2a1

ml\_j`^_gb_ \_jgh

r

r / 2

4.

r

>Zgh

J_r_gb_

T1

k

2

2

4π

2

R

4π

2

R

a

=

v1

=

(2πR T1 )

=

.

a

=

.

T2

k

2

1

R

R

T12

T22

a1

T1

2

3600 c 2

=

= 3600.

=

a2

T2

60 c

GZclb

a1

.

a1

= 3600.

a2

Hl\_l

a2

5.

>Zgh

J_r_gb_

Fa = 61024 d]

6,67 10-11

2

Fe = 6 10

22

Z F]j = G

=

d]

2

r 2

2

G=6,67 10-11

6

1024

7 1022

≈

1,9 10

20

2

(3,84

108

2

G

r = df

F

= 3,84 10

8

f

[ Zp =

=

1,9 10

20

≈ 3,17 10-5 f k2;

6 1024

≈ f k

3,17 10−5

2 3,84 108

\ v =

a r =

Hl\_l F]j ≈ 1,9 1020 G v ≈ f k

GZclb F]j, Zp, v.

Zp = 3,17 10-5 f k2.

46

MijZ`g_gb_

>Zgh

J_r_gb_

1.

h df 106 f

v ≈

M

=

Fa = 6 1024 d]

G

R

+ h

Ra = 6,4 106 f

2

=

6,6710−11

2

6 1024

=

G = 6,67 10-11

2

(2,6106

+

6,4106

2

f k df k

GZclb v.

Hl\_l v

df k

>Zgh

J_r_gb_

2.

v df k

103 f k

v2

v2

(1,67 103 )2

ge ≈ f k2

r =

r

=

=

=

2

r

g

1,6

= 1,7 106

f

103 df

GZclb re.

Hl\_l re = 1,7 103

df

MijZ`g_gb_

>Zgh1. d] f k v1x = –v2x

m = 0,2

GZclb p1x, p2x. >Zgh2.

df q f k v1 df q f k v2 l d] GZclbm p.

J_r_gb_
p1x = mv1x	d] f k	d] f k
p2x = – p1x	±d] f k
< dlhju bfimevkh\ fZrbg g_ jZ\gu l d hgb
\_dlhjh\ bfimevkh\ jZ\gu
Hl\_l p1x	d] f k p2x	±d] f k
J_r_gb_		d] f k
d] f k ± f k
j = m v = m(v2 – v1) =
Hl\_l p	d] f k

MijZ`g_gb_

Ih aZdhgm khojZg_gby bfimevkZ eh^dZ gZqg_l ^\b]Zlvky \ klhjhgm1. ijhlb\hiheh`gmx ^\b`_gbx q_eh\_dZ

47

>Zgh

J_r_gb_

2.

m1

l

AZibr_f aZdhg khojZg_gby bfimevkZ

m2

l

v

= (m

)v

v

=

m1 + m2

v

=

v2

f k

1

1

1

2

2

1

2

m

+ m

m1

=

35

+ 28

0,5

GZclb v1.

f k

Hl\_l v1 f k

35

MijZ`g_gb_

>Zgh

J_r_gb_

1.

ve

f k

AZibr_f aZdhg khojZg_gby bfimevkZ

m\

d]

(me + m\)ve + m\v\ = mev v =

(m + m )v + m v

=

v\

f k

me

d]

m

=

(200

+ 5

) 2

+ 5

8

GZclb v.

f k

Hl\_l v

f k

200

>Zgh

J_r_gb_

2.

mj

]

d]

AZibr_f aZdhg khojZg_gby bfimevkZ

mi

]

d]

mjvj=mivi vj=

m v

=

0,1

100

≈ f k

vi

f k

m

0,3

Hl\_l vj ≈ f k

GZclb vj.

MijZ`g_gb_

1.

Dhe_[Zl_evgufb kbkl_fZfb

y\eyxlky [

] _ G_

y\eyxlky

dhe_[Zl_evgufb Z \ ^

2.

Z Ih^ ^_ckl\b_f kbe mijm]hklb rgmjh\ [ g_l \ rgmju ^bkd

] ^Z y\ey_lky

MijZ`g_gb_

1.

:fieblm^Z : qZklhlZ ν i_jbh^ L

² ihklhyggu_ F, v —

i_j_f_ggu_

>Zgh

J_r_gb_

2.

ν = =p

1

=

1

= 0,5

T =

ν

2

GZclb T.

Hl\_l T

k

48

>Zgh

J_r_gb_

3.

T

k

ν =

1

=

1

= 2

GZclb ν.

Hl\ l ν

=p

T

0,5 c

>Zgh

J_r_gb_

4.

t

fbg

k

T

n

t

60 c

n = 600

ν =

1

; T

=

t

ν =

n

=

600

= 10

Hl\ l ν

GZclb ν.

=p

5.

kf kf kf kf

>Zgh

J_r_gb_

6.

A = 10 kf

T =

1

=

1

= 2 c AZ k l_eh kh\_jrZ_l ihegh_

ν = 0,5 =p

ν

0,5

t

k

dhe_[Zgb_ b ijhc^_l imlv S = 4: kf

GZclb S.

Hl\_l S

kf

7.

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

ijhlb\hiheh`guo nZaZo \ kemqZyo Z \ ] _

MijZ`g_gb_

1.

GZijZ\

Fmij

v

?i

?d

?ihe

e_gb_

K lj_

;_a lj_

^\b`_gby

gb_f

gby

fZylgbdZ

Hl < d H

mf_gv

m\_e

mf_gv

m\_e

mf_gv

g_

baf_g

Hl H 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

Hl H 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 ^Z gZijbf_j kljmgZ fmaudZevgh]h bgkljmf_glZ [ g_l

49

MijZ`g_gb_

1.

Z <ugm`^_ggu_ [ [eZ]h^Zjy dhe_[Zgbx fZylgbdZ \ qZklhlZ

fZylgbdZ jZ\gZ qZklhl_ fZylgbdZ m fZylgbdZ qZklhlZ [hevr_

q_f m fZylgbdZ m fZylgbdZ qZklhlZ f_gvr_ q_f m fZylgbdZ ]

l d bo ^ebgu b khhl\_lkl\_ggh kh[kl\_ggu_ qZklhlu kh\iZ^Zxl

2.

FZevqbd b \h^Z gZqbgZxl dhe_[Zlvky \ ijhlb\hnZa_

3.

Q_j_a k L = 1/ν k MijZ`g_gb_

>Zgh

J_r_gb_

1.

λ

f

v =

λ

=

270

= 20

T

k

T

13,5

GZclb v.

Hl\_l v f k

>Zgh

J_r_gb_

2.

ν

=p

λ =

v

=

340

= 1,7

v

f k

ν

200

GZclb λ.

Hl\_l λ f

3.

>Zgh

J_r_gb_

2.

v

f k

T

1,5

λ

f

v =

λ

=

6

= 4

Hl\_l T = 4 c.

GZclb T.

MijZ`g_gb_

E_lysZy ilbpZ kha^Z_l bgnjZa\mdh\u_ \hegu

MijZ`g_gb_

1.

DhfZj A\md kha^Z\Z_fuc bf kZfuc \ukhdbc

2.

Mf_gvrblky ihkdhevdm qZklhlZ __ \jZs_gby lZd`_ 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\mqZgby mf_gvrZ_lky

MijZ`g_gb_

1.

G_l f_`^m A_fe_c b Emghc g_l mijm]hc kj_^u ih dhlhjhc fh`_l

jZkijhkljZgylvky a\md

2.

A\mdh\u_ \hegu jZkijhkljZgyxlky ih gblb

50