7 praktikum sajt
DESCRIPTION
obTRANSCRIPT
-
.
7
, 2013.
-
2
7 .
, 76/23
. , - , , . ,
. ,
, 650-02-310/1/2012-06 4.2.2013. : , 1. : 5000
CIP - ,
37.016:53(075.2)(076)
, ., 1953- 7 : : / . ; [ , , ]. - 1. . - : , 2013 ( : ). - 95 . : . ; 27 cm 5.000.
ISBN 978-86-89679-00-7
COBISS.SR-ID 202279180
3
......................................................................................................................................... 3 ......................................................................................................................................... 6 ................................................................................................................................................... 6 ................................................................................................................................................ 8 ..................................................................................................................................................... 9 . ............................................... 20 ................................................................................................................................................... 20 ................................................................................................................................................ 21 ..................................................................................................................................................... 22 ............................................................................................................................ 31 ................................................................................................................................................... 31 ................................................................................................................................................ 31 ..................................................................................................................................................... 32 . ..................................................................................... 39 ................................................................................................................................................... 39 ................................................................................................................................................ 40 ..................................................................................................................................................... 41 ......................................................................................................................... 47 ................................................................................................................................................... 47 ................................................................................................................................................ 48 ..................................................................................................................................................... 49 .......................................................................................................... 53 ............................................................................................... .................................. 54 ....................................................................................................................................... 58 ......................................................... 63 ...................................................................................................... 66 .................................................................................. 73 ........................................................................................ 75 ................................................ 82 ...................................................... 84 ........................................................ 86 .......................................... 89 ...................................................................................................... 91
-
4
, , . , , . . . , , . , , ( ). . () , . ( ) . . . . . . , , , . , . . , . . , . , . .
, 2012.
5
-
6
7
2.1. ? 2.2. .
. ? 2.3. ? 2.4. ? 2.5. ? 2.6. ? 2.7. ,
? 2.8. . 1
2. ?
2.9. 1 2. . ?
2.10. .2.4 N ?
2.11. km120 , 30 km/h80 . .
2.12. 5 N . , ?
2.13. ? 2.14. . s5
.m10 s5 ?
2.15. m/s30 .m/s10 , ?
2.16. . s10 .m/s20 s20 ?
2.17. () s30t . ?
-
8
2.18. , ?
2.19. . ?
2.20. ?
2.21. 2m/s30a , 2m/s30a . . , ? ()?
2.22. ? 2.23. , .
, ? 2.24. . .
, ? 2.25. ? 2.26. F,
? 2.27. ,
, ? 2.28. . ? 2.29. ?
2.1. . 2.2. ,
. 2.3. . 2.4. . 2.5. . ,
. 2.6. . 2.7. , , . .
, . (). , , , .
9
2.8. , .
2.9. , .
2.10. 4.2 N. . 2.11. km/h60 ( tsv /sr ).
, . 2.12. ,N5 .
2.13. . 2.14. s5 ,m10
s5 .
2.15. . 2.16. s10 .m/s20 s20
.m/s40
2.17. .s30
2.18. . 2.19. , . 2.20. , . 2.21. ,
. , .
2.22. . . 2.23.
. 2.24. . 2.25. . . 2.26. (2F) . 2.27. , . 2.28. . ,
. 2.29. . , .
.
-
10
2.1. min,5 4 m/s?
tvs ,
m1200s300sm4 s .
2.2. 5 m/s15 5 . .
tvv
tva
12 ,
2sm2s
m
2s5
sm5
sm15
s
a .
2.3. 70 km/h 2 min. ?
tvv
tva
12 ,
2sm16.0
s120sm0
sm4.19
a .
2.4. 300 mN 200 g. .
mFa ,
2
2
sm5.1
kg2.0smk3.0
kg2.0N3.0
ga .
2.5. m/s2 , 2m/s2.0 ?
tva
avt ,
s10m/s2.0
m/s22 t .
sm4v
s300s605min5 t?s
m/s51 v m/s152 v
s5 t ?a
sm01 v
sm4.19
s3600m1000
70h
km702 vs120min2 t
?a
N3.0mN300 F kg2.0g200 m
?a
m/s2 v 2m/s2.0a
? t
11
2.6. , s.3
50 km/h. .
tvva
12 ,
2sm63.4
s3sm9.13
sm0
a . .
2.7. . kg5 . . . .
:
1k amF 1tk2tk 32)()( ammammF .
:
1tk1k 32)( ammam , tkk 3
232 mmm ,
kg102 tk mm .
2.8. . , m,500 min.5 min.3 , m,300 min.6 .
321
321sr ttt
sssv
,
sm952.0
s360s180s300m300m0m500
sr v ,
: , , , . . , 0.95238. , , .
s3 t
sm9.13
s3600m1000
50h
km501 v
sm02 v
?a
kg5t m
12 32 aa
?k m
m5001 s s300min51 t
m02 s s018min32 t
m3003 s s360min63 t
?sr v
-
12
2.9. m/s,40 m/s.60 .
111 2tvss 222 2 tv
ss ,
11 2v
st 2
2 2vst .
: 21
21sr
22 vs
vs
stt
sv
,
sm48
2
21
21sr vv
vvv .
2.
2.10. km/h,15 min.15 min.20 .
111 3tvss
11 3v
st .
21
1
1
212
1
sr 33
33
3tvs
sv
vtvs
s
tvs
sv .
:
tsv sr .
:
ttvsv 13
3
21
1 ,
km75.3m3750)(3 21 ttvs .
2.11. s50 m/s.3 .
221sss
sm401 v
sm602 v
?sr v
31ss
sm17.4
3600s1000m15
hkm151 v
32
2ss
s900min152 t 1200smin2021 ttt
?s
s50t
sm3v
13
2.12. km10 km/h.40 km15 , km/h.30
.
:
min15h
hkmkm 25.0
40
10
1
11 v
st ,
min30h
hkmkm 5.0
30
15
2
22 v
st .
: km10h5h
km 2.04011 tvs . :
km15h5h
km .030222 tvs . : km25km15km10 21 ss . . 10 km.
2.13. . m/s,4 m/s.6 s20 .
? ?
1. : : tvs s . ,t : )(o ttvs . , : )(os ttvtv . : tvtvtv oos , tvvtvtvtv )( sosoo .
: s60)
sm4
sm6(
s20sm6
)( soo
vvtvt .
( tvs s ):.m240s60
sm4 s
2. : , . ,s100 . , s20 .
. s60t m240s .
km101 s
hkm401 v km152 s
hkm302 v
sm4s v
sm6o v
s20 t ?t
-
14
: , . . . , , , . , . .
2.14. . m/s,5 m/s.3 ,
m?40 ?
: tvs oo tvs .
:
tvvtvtvssd )( ooo s5o vv
dt .
m25oo tvs
m15 tvs . : . , o vv :
s5o vv
dt .
, , .
2.15. s10 .m/s1 2 , m/s?2
tavv 0 ,
sm12s10
sm1
sm
2 2v .
2.16. , .m/s2 2 , m/s?10
( ), : savv 220
2 .
,0v : z20 20 sav .
: m252
20
z av
s .
sm5o v
sm3 v m40d
?t ?o s ? s
s10t 2m/s1a
m/s20 v ?v
2m/s2a m/s100 v
0v ?s
15
2.17. , ,m/s2 2 m/s30 s.10 ?
tavv 0 ,
tavv 0 ,
m/s100 v .
2.18. . ? .
:
11 tav 22 tav ,
:
21
2
2
1 tt
aa .
2.19. .m/s5 2 10 m/s m/s?4
savv 2202 ,
2202 vvsa ,
m
sm
sm
sm
2
2
2
2
2
4.810
16100
2
220
avvs .
2.20. m/s.5 s8 60%. .
00000 6.16.010060 vvvvvv ,
sm8
sm56.16.1 0 vv ,
tavv 0 ,
tv
tvv
tvva 0000 6.06.1 ,
s375.0s8
sm56.0
a .
: Kao , .
2m/s2a m/s30v s10t
?0 v
vvv 21 00201 vv
12 2 tt ?/ 21 aa
2m/s5a m/s100 v
m/s4v ?s
sm50 v
00 %60 vvv
s8t ?a
-
16
2.21. , ,m/s6 2 50% m.100 ?
savv 2202 ,
savv 225.2 2020 ,
sav 225.1 20 ,
sm31
25.1
m100sm62
25.12 2
0
sav .
2.22. 20% . ? .
111112 8.02.010020 aaaaaa ,
2
2tas ,
22
222
211 tata
2
121
22
aa
tt ,
12.18.0 1
1
2
1
1
2 a
aaa
tt .
: . , .
2.23. , m/s,5 s10 .m/s2.5 2 . .
1. : tavv o , s10m/s5.2m/s5 2 v ,
m/s30v ,
2
2
otatvs ,
2s)10(m/s5.2s10m/s5
22s ,
m175s . 2. : :
m1752
s10m/s25s10m/s5 s .
2m/s6a 05.1 vv m100s
?0 v
112 %20 aaa
000201 vvv
?1
2 tt
m/s5o v s10t
2m/s5.2a
?s
17
2.24. .m/s0.2 2 s10 ,
, .m/s0.3 2 ? ?
t, tt - , :
tavv mm )( ttavv .
s30
m
aatat , s20
m
m aatatt .
:
2
2mm )(2
121 ttatassd ,
m30s)20(m/s3.021s)30(m/s2.0
21 2222 d .
: , .
2.25. .m/s6 2 . , m/s?10
1. : , atvv 0 (a ). 1t , 100 tav , :
avt 01 .
, , tav . 2t
,2 0vv 202 tav .
avt 02
2 .
av
av
av
ttt 0002132 ,
s5
sm6
sm1033
2
0
av
t .
2. : , 2m/s6 . ,
02vv . , .
2m m/s2.0a
s10 t 2
m/s3.0am vvv
?t , ?d
2sm6a
02vv
sm100 v
?t
-
18
tavv 0 tavv 002 tav 03 ,
s5
sm6
sm1033
2
0
avt .
: . . .
2.26. . . . kg.2 a ?
) s20 . , .
) s40 .
tavv 0 ,
2sm1.0
s40m/s4
tva ,
N2.0sm1.0kg2 2 amF .
) s20 . , .
) s20 .
,0 tavv
20
sm2.0
s20m/s4
tv
a ,
.Nsmkg 2 4.0)2.0(2 amF
. , :
.m2002
m/s4s20m/s4s20
2m/s4s40 s
m/s4v m/s0o v s40t kg2m
?a ?F
m/s0v m/s4o v s20t kg2m
?a ?F
19
2.27. kg40 kg50 N20 . ?
, 20 N, :
21
1sm5.0
kg40N20
mFa
22
2sm4.0
kg50N20
mFa .
2.28. 20 m/s.50 , kg?60
e , . , ( d FF ) a . , :
t
vmamF
,ddddd tvmamF
tvm
tvm
d
d
.kg24d
d
vvmm
2.29. m.4 kg,80 kg.50 N10 . ? ?
( 2112 FFF ) , :
11 m
Fa
2
2 mFa ,
2
1
211 2
121 t
mFtas
2
2
222 2
121 t
mFtas .
:
2
21
212
21
2
2
2
111 2
1121
21
21 tF
mmmm
tFmm
tmFt
mFssd
,
s96.4)(
2
21
21 Fmmdmm
t ,
sm62.0
111 m
tFtav
sm99.0
222 m
tFtav .
, :
sm61.1
21
21
2112r tFmm
mmm
tFm
tFvvv .
kg401 m N20F
?1 a ? 2 a
sm20 v
sm50d v
kg60 m ?d m
kg801 m
kg502 m
N10F
m4l ?t
?r v
-
20
2.30. g100 N1 . ? ?
:
amF 5
amF 5 ,
2sm2
5
mFa
N2.0
55 FF .
2.31. N.60 kg,5 kg.3 , , . , ? .
:
ammF )( 21
amT 2 ,
Tm
mmF
2
21
N160max2
21max Tm
mmF .
N1F g100m
?a ?5 F
kg51 m kg32 m
N60max T ?F
21
.
3.1. ?
3.2. ? 3.3. ,
, . ? 3.4. ,
? 3.5. ?
? , . 3.6. , ,
. 3.7. ? 3.8. .
.N40 , ?
3.9. ? 3.10. .
? 3.11. , ? 3.12. ,N300 .
N200 ?
3.13. ? ?
3.14. ? 3.15. 1? 3.16. ? 3.17. .
? ?
3.18. ? , ?
3.19. ?
-
22
3.1. . 3.2. ,
. , , .
3.3. g. , , , .
3.4. . , 11 2ghv , 22 2ghv . 3.5. .
. gm , .
3.6. . . 3.7. . . 3.8. .N40
. 3.9. . . 3.10. . . 3.11. , ,
, . 3.12. . .N200 ,
N200 , .N200 3.13. . ,
.QNF tr .
3.14. .
3.15. , . . , , 1.
3.16. . 3.17. .
. 3.18. ,
. , , . , , .
3.19. .
23
3.1. .kg20
2smkg 81.920 gm ,
N2.196m .
3.2. . .
m4.9ssm 2
2 181.921
21 2tgs .
3.3. m/s400 . s5 . .
:
20 2
1 tgtvsh ,
mssm-s
sm 2
218772581.9
215400 h .
3.4. g100 . ? m3 ?
N981.0sm81.9kg1.0 2 gm .
:
2
21 tgh ,
s
smm
2
78.081.9
322 ght .
kg20m 2s
m81.9g
?gm
s1t 2s
m81.9g
?s
m/s4000 v s5t
2m/s81.9g ?h
kg1.0g100 m m3h
2m/s81.9g
00 v ?gm
?t
-
24
3.5. .m4 ?
,Hs a h .hHs sgv 22 , : Hgv 22max )(24
2max2 hHg
vv .
maxv : )(22hHg
Hg , : m3
43 Hh .
3.6. m10 s5.0 . ?
2
2
0tgtvH ,
t
tgHv 2
2
0
,
sm5.17
20 tg
tHv .
3.7. s1 . m/s,2 . ?
21 2
1 tgh , 2022 21 tgtvh ,
220212 2
121 tgtgtvhhh ,
m202 tvh .
3.8. . .
: .
: ,
,
.
2
2
1tgs
tgv 0 23
22
222
2
02tgtgtgtgtvs
31
2
1 ss
m4H 2/maxvv
2m/s81.9g
?h
m10H s5.0t
2m/s81.9g
?0 v
s121 ttt 001 v
m/s202 v 2m/s81.9g ?12 hhh
1s
2s
ttt 21?
2
1 ss
25
3.9. m50 . ?
:
.
: .
: ,
.
3.10. m10 . s1 . ? ?
, :
, :
.
, ,max Hhs : .
, : .
.
3.11. kg2 2m/s5.8 . ?
, :
.
: .
3.12. kg25 . ?
.
2
2tgH s19.32 gHt
)( 202 ttgv
2)(
2
22
22
22
2022tgtttgtgtvs
m39.262 s
100 tgv max20 20 hgv
10 tgv m9.42221
21
2
max gtgtg
h
sm1.17)(22 max Hhgsgv
2tgv s74.12 gvt
s74.221 ttt
amFgm ot
N62.2)(ot agmamgmF
N245sm9.81kg25 2 gmQ
m50H
2sm81.9g
s12 t?2 s
m10Hs11 t
2sm81.9g
?t
kg2m2m/s5.8a
2m/s81.9g?ot F
kg25mm/s81.9g
?Q
-
26
3.13. ,N100 ?
gmQ ,
kg2.10
sm81.9
N100
2
gQm .
3.14. kg20 g/5. ?
, :
,
.
, . :
.
3.15. . 4:3. . .
. .
.
,
.
, :
,
,
.
amgmN )( agmN
NQ
N23556)( gmagmQ
QN QN
amgmN amNgm aaa
amgmQ amQgm
34
agag
QQ
2sm4.1
7 ga
N100Q2m/s81.9g
?m
kg20m
5ga
2sm81.9g
?Q
34
QQ
2sm81.9g
? aaa
27
3.16. N2 . cm.5 cm1 , . cm1 . , ?
, :
,cm6cm1cm51i lll ,cm4cm1cm51s lll
.
, :
,
.
. :
,
: ,
.
.
3.17. N20 . ?
. , :
.
N2e0 gmQF
56
cm5cm6
e0
ei FF
54
cm5cm4
e0
es FF
N4.2N256
56
56
e0ei QFF N6.1N254
54
54
e0es QFF
iei amgmF ses amFgm
mQF
mgmFa eieii m
FQm
Fgma esess
2i 2kg2.0N2N4.2
sma 2s 2kg2.0
N1.6N2sma
N20tr FF
N2Q cm5l
cm11 l?s a ?i a
2s
m10g
N20F
?tr F
-
28
3.18. 0.6 . N500 . .
N3.0tr NF .
3.19. kg3 m/s.5.0 2.0 . :
) ,
) ,
) ?
.
,
,)( gmN : .
:
, ,
.
) , . :
.
) , , .
) , , .
: ), .
gmNF tr
amFF tr amgmF
gmF
mgmF
a
0 gmF
N886.5 gmF 0a N886.5F
0a N886.5F
N0.5mN500 N6.0?tr F
)
)
)
kg3m
sv m5.0
2.0?F
constv 0a0a
29
3.20. g.100 N?1 .4.0
.
.
: e , , . , .
3.21. kg2 N.14
, 2m/s2 ?
, :
, ,
.
3.22. km/h50 . 0.9. ? ?
, :
.
.
( ) , :
,
.
, , m.10 . . , . . , .
N39.0maxmaxmax tr, gmNF
amFF tr amgmF
51.0gm
amF
amgmF tr ga tavv 0 savv 2202
0v zt zs
z00 tav s57.100z gv
av
t
z20 20 sav m5.1022
20
20
z gv
av
s
kg1.0g100 m4.0max
N1F
2sm81.9g
kg2m N14F
2m/s2a 2m/s81.9g
?
sm9.13
hkm500 v
9.0?z t?z s
-
30
3.23. t1 km/h72 s10 . ? 0.7.
.
, , :
, ,
.
3.24. kg2 0.1. , , kg5 . . e .
. . . .
: .tr gMF :
,
.
tav tva
amFF tr gmF tr
kN8.87N8867 gmtvmF
aMmFgm )(tr
2tr
sm18.1
gMmMm
MmgMgm
MmFgm
a
kg1000t1 m
sm20
hkm72 v
s10t7.0m/s00 v
?F
kg2M1.0
kg5.0m?a?T
31
, m, :
.
3.25. . , . .
3.22 , .
:
.
, , :
.
.
3.26. kg1M kg4.0m , . , . .
, .
M , :
, .
, t M , m .
,
. :
.
:
.
amTgm N31.4 amgmT
av
t 0z z
0
tv
a
221
21 z02
zz
0z0
2zz0z
tvt
tv
tvtatvs
ztt zz0v 2stvs
TT
12 aMTgM
2amgmT
1s 12 2ss 2
22 21 tas 211 2
1 tas
12 2aa 12 amgmT
21 sm09.1
42
gmMmMa 212 s
m18.22 aa
constv v
v0 vv
ztt
?2 zv ss
kg1Mkg4.0m
?1 a?2 a
?T
-
32
:
.
: , , , , . M , m . , .
N436.01 amT
mM 2mM 2
33
4.1. , ? 4.2.
F, ? 4.3.
3F, F ? ?
4.4. ? 4.5. ? 4.6. ? 4.7. ? 4.8. ? 4.9. ? . 4.10. ? 4.11. ,
, ? 4.12. ? 4.13.
? 4.14. ,
. . , , ?
4.15. , , ? 4.16.
. , , ?
4.17. ?
4.1. . 4.2. 2F. 4.3. 2F . 4.4. , .
. 4.5. . 4.6. , . 4.7. . .
-
34
4.8. , . 4.9.
. , , .
4.10. , . .
4.11. . 4.12. . , ,
. 4.13. .
, .
4.14. , . .
4.15. , , , . .
4.16. , , , .
4.17. . a , .
4.1. N.100
. ?
Fd, , :
,
.
4.2. . N,150 N.130 , ?
, .
.
.
FF d2N50
2d FF
N28021R FFF
N100F?d F
N1501 FN1302 F
?R F
35
4.3. g30 200 , g,1 5. a g20 100 , .g1 ?
:
,
. . :
. : .
4.4. N100 -. - N.300 ? , .
:
,
.
4.5. kN1.5 . , , kN1.5 ?
, , .45 .
4.6. N10 . .cm75 ?
,dFM
.Nm7.5m0.75N10 M
kg33.0kg0015.0200kg03.0k mkg12.0kg001.0100kg02.0s m
gmmQQQ )( sksk kg21.0sk mmg
Qm
21R FFF
N316R F
kN12.2R12 FFF
kg0.03g301 mkg0.0015g5.12 m
kg0.02g203 mkg0.001g14 m
?m
N1001 FN3002 F
?R F
kN5.11 FkN5.1R F
?2 F
N10Fm75.0cm75 d
?M
-
36
4.7. N50 ,cm10 .cm80 ? 10%?
,
,
,
,
.
4.8. 18 ,kg12 . ,m2 .m8.1 ,m2.2 ?
:
gmQ bb gmQ ss .
:
bbb dQM , ,
.
, , .
:
0mssbb dFdQdQ , :
N257m
ssbb d
dQdQF .
21 dFdQ
N4001
2 ddF
Q
21 dFdQ
22 dFdF
N5.451.11.1 2
2
2
2 F
ddF
ddF
F
sss dQM
mm dFM
?Q ?F
N50Fm1.0cm101 dm8.0cm802 d
222 1.1%110 ddd
kg18b m
m2b d
kg12s m
m8.1s dm2.2m d
?F
37
4.9. .kN1.5 90 . ?
, .)( FQ 1T
.2T
( ).
, ,
.
: . , ( ). , ,
.
4.10. N50 e 90 60 . ?
e . , . , 90 ,60 , ( ). . , , , :
,
.
: ,3 2.
TTT 21T TQ 2
kN06.122
22 FQT
21 TTT TT F
QT 21 2TN100N50221 QT
N86.5N35032
322 QQT
90
kN5.1F
?T
90 60
N50Q
?1 T?2 T
-
38
4.11. 30 m. , , M, . , . .
, :
.
, .
m , , , :
, , .
. , .
.
, ( m ) . , , , .
.
4.12. cm20
.00 3kg/m8
,
kPa1.57Pa1570m2.0sm81.9
mkg800 23 hgp .
4.13. 2cm50 .m1 .kPa10 3.01p
,
,
.
2pgmgm
23
ngmgm
amTgm p aMgMT aMmgMgm )(p
gMmMm
a)(2
2
Mm 2 Mm 2 Mm 2
gMm
MmgaMT
)(23
)(
hgp
hgpp 0
ShgpF )( 0
N6.555F
30M m
?a ?T
?p
m0.2cm20 h3kg/m800
2m/s81.9g
22 m005.0cm50 Sm1h
Pa1013000 p2m/s81.9g
3kg/m1000?F
39
4.14. , , 20 ?cm10
, . S . , ( ). :
, ,
, . . 4.15. m10 .
.g/cm1.03 3 A .Pa101300
, p 202300 Pa = 202.3 kPa.
4.16. 3cm100 ?
,
, .
4.17. .mN400 ?
, .
3323 cm40,7m0.0000407m/s81.9kg/m1000
N4.0 V
11 hgp 22 hgp ShgSpF 111 ShgSpF 222
2
1
2
1
2
1
hh
ShgShg
FF
2
cm10cm20
2
1
2
1 hh
FF
hgpp 0
33 m0001.0cm100 VgVF p
N 981.0m/s81.9m0001.0kg/m1000 233p F
gF
V p 3323 cm7.40m0000407.0m/s81.9kg/m1000
N0.4 V
cm201 hcm102 h
?2
1 FF
.Pa1013000 p
m10h
33 mkg
1030cm
g30.1
?p
3cm100V3kg/m1000
?p F
N0.4mN400p F3kg/m1000
?V
-
40
4.18. cm15 m1 60% . ,kg15 ? ?
, , .
gVgV 2v , gVgV 6.0v , v6.0 .
, , :
gVgmgV v ,
vmV ,
vv 6.0 mV ,
v4.0 mV .
() adlV , :
cm25m25.04.0 v
dl
ma .
, . .
4.19. 3kg/m2500 .cm20
, . .700 3kg/m .
, . , :
amgVgm b , aVgVgV sbs ,
2s
bs
sm06.7 ga
.
, , :
.
: . .
2/2tas
s24.02 ast
m0.15cm15 d
m1lVVV 0.6%602
kg15m3
V kg/m1000?a
3s kg/m2500
3b kg/m700
m2.0cm20 s
?a?t
41
.
5.1. ,
, ? 5.2. , , ? 5.3. , .
, ? 5.4. , ? 5.5. ,
? 5.6. , , m,
, v. , , 2m. , , v? .
5.7. F s. 2F , ?
5.8. . . . ?
5.9. .m10 ?
5.10. ? 5.11. kg1 .m10
? 5.12. 10 ,
.cm10 ?
5.13. F 2F. . ?
5.14. . ?
5.15. ?
-
42
5.16. , 40%?
5.17. . , e ?
5.18. , ?
5.1. , . 5.2. , . 5.3. ,
. 5.4. , . 5.5. , . 5.6. . ,
. .
5.7. 2/s . , .
5.8. . .
5.9. .m5 . .
5.10. . . . .
5.11. , ,m10 .
5.12. . . , . , .
5.13. , .
2/2 sFsFA
J100m10m/s01kg1 2 hgm
43
5.14. , .
5.15. . , . , . , , . .
5.16. 60%. 5.17. , . 5.18. . .
.
5.1. N5 .m50 ?
,
J250m50N5 A .
5.2. t1 m10 . , ?
, , . :
,
.
:
.
sFA
gmF
hgmhFA
kJ98.1J98100m10sm9.81kg0001 2 A
kJ98.1 hFhgmA
N5Fm50s
?A
kg0001t1 mm10h
?FA?mgA
-
44
5.3. .mN200 , .mN100 je e ?m2
:
,
,
.
5.4. kg80 m500 .m1500
, , 0.05? 80% .
:
,
.
, , .
.
5.5. N5 . 20% . ?m5
,
,
.
trAAA F sFsFA tr
J2.0)( trtr sFFsFsFA
gmQNF 8.08.0tr
kJ1.47J471008.0trtr sgmsFA
kJ392J392000 hgmAmg
sFA h
sFA 8.0
J20m5N58.0 A
N0.2mN200 FN0.1mN100tr F
m2s?A
kg80mm1500s
m500h05.0
QQN 8.0%80 ?mgA
?tr A
N5FFFF 8.0%80h
m5s?A
45
5.6. g500 . .N2 ?cm20 0.2.
, , :
, .
:
.
( ):
,
.
5.7. kg2 cm30 , ?m1
, :
,
.
: : .
5.8. . . ,km/h18 .m/s1 , .kg75
. , . , :
J5.372
sm1kg75
2
2
2
2
k
vmE . , :
: .
NFgm nnFgmN
)( ntr FgmNF
sFgmsFA )( ntrtr
mJ116J0.116m0.2N)2sm9.81kg5.0(2.0
2trA
Hh )(p HhgmE
J5.25p E
hgmE p1
,m4a svvv
J6002
2
k vmE
kg5.0g500 mN2n F
m0.2cm20 s2.0?tr A
kg2mm1H
m0.3cm30 h?p E
km/h18a v
s m5
s 36001000m18a v
sm1 v
kg75m?k E
-
46
5.9. .m/s2 m3 . ?
, , .
, , 1 2.
,
, ,
.
: . . , , , .
. 2 . .
, 2. , , .
5.10. kg10 .m2 .m/s5.5 ?
, ,
.
, :
,
:
,
.
hgmmvHgmmv
22
220
hgv
Hgv
24
2
20
20
23
22
202
0
20 vHgvHg
vhg
m39.223 20
gv
Hh
0v
sgvv 2202 )(2202 hHgvv
12tr EEEA
hgmE 1 22
2mvE
hgmmvEEA 2
2
12tr
J45tr A
sm20 v
m3H02vv
?h
kg10mm2h
sm5.5v
?tr A
47
5.11. m25 km/h36 .kg5 ? .
, . , , :
,
.
.
5.12. .m/s5 , 0.2?
. 5.10,
.)( 12 EEEA tr , :
,
, , :
.
5.13. . . 3m43000 .m30 .MW190 ?
. , e .
,
.
: .
:
,
.
22
22
21 mvmvhgm 22212 vvhg
m/s3.242212 hgvv
1v
sgmsNsFA trtr
2
20
1mv
E 02 E
2
20
12trm
EEA 2
20mvsgm
m37.62
20
gv
s
pu EA Vm
hgVhgmE p
thgV
tE
tA
P puu
hgVtP
PP
k
u
k
9.0m30
sm81.9m43000
mkg1000
s60190000000W
23
3
k
u
k
hgV
tPPP
hkm361 v
sm10
3600s1000m361 v
m25hkg5m
?2 v
sm50 v2.0
?s
s60min1 t
3mkg1000
m30h3m43000V
MW190k PW190000000k P
?
-
48
5.14. kg1M kg4.0m , . , . , M
?cm10
3.26, t M , m
,)2( 12 ss .)2( 12 aa ( ), , . .
M, m . , :
.
, :
, . ,
.
: 3.26, . ( ). , . , , . .
, .
, . , , .
: , . , , . . !
1s
tav
12 2vv
22
22
21
21mvMv
sgmsgM
24
22
21
21
11mvMv
sgmsgM 211 24)2( vmMsgmM
sm388.0
4)2(2 1
1
mMsgmMv
sm777.02 12 vv
kg1Mkg4.0m
m1.0cm10 h?1 v?2 v
49
6.1. ? 6.2.
(). . C1 ? .
6.3. K5 . C20 ?
6.4. , . ?
6.5. , , 1 , kg1 . , ?
6.6. ?
6.7. ? 6.8.
? 6.9. (
). ?
6.10. , . , ?
6.11. . , ?
6.12. ?
6.13. ? 6.14. ?
-
50
6.1. . .
. 6.2. . ,
. .
6.3. .C25 .
6.4. . ,
.)( TmcQ 6.5. . , , ,
. 6.6. . ,
. . 6.7. . . 6.8. .
10 ( ),
. 6.9. .
, . 6.10. ,
. . .
6.11. , . . , .
6.12. , .
6.13. . . .
6.14. . , , . .
10102210
51
6.1. C50 .
.
: , . , , , , .
, : ,
t , T K.
.
, :
.
6.2. .C195 .C25 ?
: C220C)195(C2512 ttt . , :
K220T .
6.3. g500
C40 ? Kkg
J400 .
,
.
K223K273C
C50K273C
tT
273 tTC
K273)50(273 tT
Tcm Q
kJ8J8000K40Kkg
J400kg0.5 Q
C50t ?T
C1951 t C252 t
?T
kg5.0g500 m C40 t K40T
Kkg
J400c
?Q
-
52
6.4. 8, 15 cm20 20 C60 , .kJ135
, ?kg/m700 3 : ,
: .
, :
.
: a, b c. , c , je a a d.
6.5. lm300 .C25 g100 .C90 , . , C35 ? K.J/kg4200
:
Vm vv . :
)()( svsvv ttcmttcm , )()( svsvv ttcmttcV .
:
KkgJ2290
)()(
s
vsvv
ttmttcVc .
6.6. m2 . 40% . , K.J/kg400
.
, :
. :
.
dbaV dbaVm
Tcdbatcm Q
kgKJ2000
40Km2.0m15.0m08.0mkg700
J135000
Q
3
Tdba
c
hgmQ hgmQQ 4.04.0k
tcmhgm 4.0
C02.04.0
c
hgt
C201 t C602 t
C40 T J135000kJ135 Q
3kg/m700 ?c
m08.0cm8 am15.0cm15 b
m2.0cm20 d
3mm300 0003.0 lV kgg 1.0100 m
C25v t C35s t
C90 t KJ/kg4200v c
3v kg/m2000c
?c
m2hQQQ 0.440%k
J/kgK400c? t
53
6.7. .m/s20 . , 80% ? K.J/kg800
, :
.
, 2 m, : QQt 8.0 , :
.
: .
6.8. g50 o .N50 .
.m2 KJ/kg450 , 0.8.
.
(), .
, , . 5 kg. , :
.
, , :
,
.
: . . , .
22
22 vmvmQ
tcmvm 28.0 2
C2.04.0
2
cvt
trAQ
FNF tr sFsFA trtr
sFtcmQ
C6.3 cmsFt
sm20v
QQQt 8.0%80
KkgJ800c
?t
kg0.05g50 mN50F
m2s0.8
J/kgK450c? t
-
54
6.9. 3cm100V C50 t lV m500v .C20v t 90% . , . KJ/kg4200v c KJ/kg2000c , .
.
, ,
gVgV 1v gVgV 9.0v .
v109 .
:
)()( vrvvr ttcmttcm , )()( vrvvvr ttcVttcV ,
)()(109
vrvvvrv ttcVttcV ,
)(10)(9 vrvvr ttcVttcV ,
vv
vvvr 109
109cVcV
tcVtcVt
,
C4.22
KkgJ4200m0005.010
KkgJ2000m0001.09
C20Kkg
J4200m0005.010C50Kkg
J2000m0001.09
33
33
r
t .
: . . , , . , .
VV 9.01 gV1V Vgmg
3v cm500m500 lV 3
v m0005.0V
C50 t C20v t
KkgJ4200v c
KkgJ2000c
?r t
33 m0001.0cm100 V
VVV 9.0%901
55
-
56
57
.
(, , , .). .
. . . , .
. , .
. . , :
, (1, 0.1, 0.01, 0.001, .).
. . . .
s1.0 ( ).
. ,min15 .
s01.0 ( ). 9 h 99 min 99.99 s.
0.2 s.
-
58
. . , .
,
.
. .
mm1 ( ). , , , .
( ) . ,
.cm10 .
, , . .mm1 10 50 , ) ).
59
. , .
( ) . a) 20, ) 3. .
( ).
10 ( ). mm1.0 . .mm1.0 . , 20.6 mm.
50 ( ). mm02.0 ,
.mm02.0 , . mm02.0 . ) 3, . . .mm0.06mm02.03 , )
.mm36.3
. 2.5 cm. ,
. . 0.5 mm.
. . .mm0.01 . .mm mm 75.1625.05.16
, . , , .
-
60
()
.
. ( ). .
. .
.
. .C30.2 .C0.1
, .
. . , , , . .
. , . , :
C21020C
104060 .
C40 . C16C28 , C40 , C65 .
61
. ,
. ,
. . ,
, , , .
. ,
: , , , .
. , . .
. . 21, xx 3x ,
3321
srxxxx .
,
. x x .
xxx sr . -.
srx
xx sr xx sr . .
srx .
-
62
,
. . , . .
. . , . , ,m1 , . . . , , .
, , . , . , .
, . .
. . , , , ., .
. ,
21 xxx 21 xxx , 21 xxx .
.
, . . .
, , , .
63
, . , , .,
, , ., . , , . , , , . , .
.
. .
1 12.335 0.0132 0.02 12.34 02.034.12 2 22.45 0.261 0.3 22.4 30422 .. 3 136.502 4.45 5 137 5137 4 426.32 16.7 20 430 20430 5 34631 132 200 34600 20034600
, , . , . 5, , 5, . 5, , , . ( 3). ( 4 5).
1 mm 5 mm 100 mm.
.
srxx .
.
%100sr
x
x .
-
64
,
. .
, , . 1%. .
, .
, . , .
. . , . . .
. . . , .
, . . .
: , . . . , . , .
. .
65
. , . . .
, , :
,mm1 .s01.0 .mm897 .mm2 2.48, 2.56 .s51.2
.
.
[m]s [m]s [s]t [s]srt [s]srtt [s]srt [s])( tt
0.897 0.002
2.48
2.517
0.037
0.05 2.56 0.043
2.51 0.007
[m/s]/ tsv [m/s]
tt
ssvv [m/s])( vv
0.3564 0.0079
[m]s [s]t
sm
tsv [m/s]srv [m/s]v
0.897
2.48 0.3617
0.3565 0.006 2.56 0.3504
2.51 0.3574
, , , .
, , , .
tsv /
05.052.2
008.0356.0
-
66
1
. ,
. a
s t :
.
. . .
. ( 1, 2 ). . .
: . . .
2
21 tas
22t
sa
3
67
. . (. ). . , . . 2 ,mm4 . . ( ).
. , . , . .
. , . .1x ,mm1 .mm2
. .
. .
.s .
. .
. .
.
ss
1x
2x
2x
12 xxs
t srt
srtt t2sr/2 tsa
-
68
______________ mm
_____________ mm
______________ mm
_____________ mm
: , .
_____________mm
_____________mm
s][t s][srt s][srtt s][t
22
sr sm2
tsa
:
, ___________________ .
1x 1x2x 2x
12 xxs 12 xxs
1
12
23
69
2
: F , m:
.
, . , .
: , , . , . . .
. m , , :
.
, , , . .
, .
. , . . , , . , :
.
mFa
RF
mFa R
gm
0 trF
T
tr0R FgmF
0mMm
0
tr0R
mMFgm
mF
a
-
70
. , . .
) . . .
. . .
. , . . ( ). , . , , . , .
, , . . , . , , .
, :
,
F , , M .
. , .
gmQ 0
)(0 agmQ
MFa
71
, . . , . .
. , a , s t . , .
. .s1 .
, , . ,
,g100 ,g20 .m/s7.1 2 m1 .s1.1 , .
. .s1
: ,g100 ,g20 ,g004 ,g01
.g20 m1 1.5 .s5.2 .
, , , .
, e . .
trF
2/2 tsa
-
72
. ,mm2 mm1 .
. . .
, , . .
. ( ). ( ). .
. .
. . .
.
. . .
.
s = ( _____ ) mm
= _________ g = _________ g
= _________ g
= _________ g
km
1m 1k mmM
trF
tm
2m
2t0 mmm Mmm 0
0mt
srt2sr/2 tsa
0m
mFgm
a tr0
2
km 1m
1k mmM
tm
73
1) ______ g 2) ______ g 3) ______ g
1) ______ g 2) ______ g 3) ______ g
1) ______ g 2) ______ g 3) ______ g
__________ N
kg][m ( tr0R FgmF ) N][ s][t s][srt
22
sr sm2
tsa
2R
sm
mF
a
. .
___________________________________________________ .
1: , , .
2: , Mm ,R FF F . ,
.
3: , .
2m
2t0 mmm
Mmm 0trF
0tr F gmF 0R
-
74
) . . , , , . , , .
, . , . , . , :
.
, , , . .
. , . .
. .
. . . . .
. .
. .
.
tm
0m
gmgm 0t gmt
gmgmgmgmF 0t0tR 0t2 mmm
0t
0
2 mmgma
t2m 0m
t
srt2sr/2 tsa
0t2 mmm gmF 0
0t
0
2 mmgm
a
75
s = ( _____ ) mm
= _________ g
= _________ g
]s[t ]s[srt
22sr s
m2t
sa
20 sm
mgma
. .
___________________________________________________ .
1: , , 4 .
2: ( ) . , , . , . , .
, , , . . 2m/s1 , .
2
t2m
0m
0t2 mmm
)(0 agmQ
-
76
3
. . , . , . . , . , .
, .
, , :
.
. .
s . . .
.
.
. . .
2m/s81.9g
2/2tgs
22t
sg
srt
2sr
2t
sg
77
s = ( _____ ) mm
]s[t ]s[srt
22
sr sm2
tsg ]s[t ]s[srt
22sr s
m2t
sg
1
2
, . , .
, m5.0 s3.0 . .
, . m10 s4.1 . . je m20 s2 .
, , . . . , . 30 , s1.0 .
. , .
.
.
2
-
78
4
, N , . ,
, ,
gmF tr . 1. . . .
. . . , ( ).
. ,
. .
. . .
. .
, .
. .
0m = ________ kg t0 mmm = ________ kg
NF tr
QN mgQ
trFF
0m
trF
sr tr,F
gmF
0
sr tr,
tm
t0 mmm
79
]kg[0m ]N[trF ]N[srtr,F gmF
0
tr,sr ]kg[)( t0 mm ]N[trF ]N[srtr,F gmmF
)( t0srtr,
,
________________ .
_____________________ .
2. . . . ,
. . , . . trF :
)(tr
gmF
.
. .
. .
. .
.
1m 2m tr,1F tr,2FgmF 1tr,1 gmF 2tr,2
)( 1212tr,1tr,2 mmggmgmFF mgF tr
m
gmmgm )( t0
sr tr,F
)(tr gmfF
-
80
. .
. 0m = ________ kg
kg][tm kg][m ]N[gm ]N[trF ]N[srtr,F ]N[srtr,tr FF ]N[trF ]N[trF
:
: A)( gm = ________ N Atr,F = ________ N
B: B)( gm = ________ N Btr,F = ________ N
.______________________________
)()()( ABAtr,Btr,tr
gmgm
FFgm
F
81
. g200 .tm
. . N1.0 ( ).
kg][tm 0 100 200 300 400 500
]N[trF 0.5 0.9 1.1 1.4 1.8 2,1
0.5 0.8 1.2 1.4 1.6 2.1
0.6 0.9 1.3 1.4 1.7 2.1
. . .
0m = 0.2 kg
kg][tm kg][m ]N[gm ]N[trF ]N[srtr,F ]N[srtr,tr FF ]N[trF ]N[trF
0 0.2 1.96
0.5
0.53
0.03
0.1 0.5 0.5 0.03
0.6 0.07
0.1 0.3 2.94
0.9
0.87
0.03
0.1 0.9 0.8 0.07
0.9 0.03
0.2 0.4 3.92
1.1
1.2
0.1
0.1 1.2 1.2 0
1.3 0.1
0.3 0.5 4.90
1.4
1.4
0
0.1 1.4 1.4 0
1.4 0
0.4 0.6 5.89
1.8
1.7
0.1
0.1 1.7 1.6 0.1
1.7 0.1
0.5 0.7 6.87
2.2
2.1
0.1 0.1 2.1 2.1 0.1
2.0 0.1
-
82
: A)( gm = 2.5 N Atr,F = 0.74 N
B: B)( gm = 6.5 N Btr,F
= 1.92 N
83
:
.3.0295.0N5.2N5.6N74.0N92.1
)()()( ABAtr,Btr,tr
gmgm
FFgm
F
: . , N1.0 . , . , .
.N)(0.1 N2.0 , .
, , , . , , . . , .
. , . , .
3. .
, . pmaxtr, gmF . , ,
.
,
.
. 90 ,
FF - FF
pmax mgN Nmg /pmax
nmgN
n
pmax mg
mg
-
84
. , . , , ( ).
:
lhmax .
. . h l .
. . .
. .
.mm2
: : h = ( _____ ) mm
: l = ( _____ ) mm
]mm[h ]mm[srh ]mm[l ]mm[srl sr
srmax l
h
:
180lhmgmg :: np
srh srl
2
2
________cm_______cm_______
sr
srmax l
h
85
5
m V:
.
. . , :
,
: , g . .
( ) ( ) , . ,
,
.
, :
.
. . . , , .
Vm
VgF 0p
0 V
Q gmQ
pFQQ VgQQ 0
gQQV
0
00 QQQ
QQmg
30 kg/m1000
-
86
. .
. .
, , .
.
( ).
30 m
kg ]N[Q ]N[Q
30 m
kgQQ
Q
___________
: .
: 1. .
, , .
2. , .
Q Q
1 2
1000
3
3321
mkg___________
2mkg
mkg
2
87
6
, F
s:
.
, ,
.
90, .
. . .
. 4. ( ), ( ) , .
. . . , . . .mm2
: .
sFA
sFA ppF
constv trFF
-
88
s . ,
. .
, . .
. .
.
]N[F ]J[sFA ]N[trF ]J[tr sFA
:
__________ .
__________ o .
F
89
7
: ( ) . , ,
( ).
2.
,
,
.
.
2,
.
,
.
,
2.
. .
s . s = h. .mm2
. . .
constEEE pk
km
1m 1k mmM
-
90
. ( ). ( ). .
. . . .
.
. .
.
.
.
, .
= s = h = ( _____ ) mm
= _________ g = _________ g
= _________ g
= _________ g
1) ______ g 2) ______ g 3) ______ g
1) ______ g 2) ______ g 3) ______ g
1) ______ g 2) ______ g 3) ______ g
tm
2m
2t0 mmm 0m
tsrt
2sr/2 tsa
srsr /2 tstav 0m
0mMm 0m
2
2
kvmE
hgmE 0p
2
km 1m
1k mmM
tm
2m
2t0 mmm
Mmm 0
91
]kg[m ]s[t ]s[srt
22sr s
m2t
sa
sm2
srtsv ]J[
2
2
kvm
E ]J[0p hgmE
, .
2
2
kvmE .
( hgmE 0p ). , .
_________________________________________________ .
: , . , : .
, .
. , .
kp EEE
-
92
8
, ,
. ,
.
a , . ,vc .
,)( s1v11 ttcmQ .)( 2sv22 ttcmQ , ,)()( 2sv2s1v1 ttcmttcm :
.
,
.
.
.
.
,
. ,
.
.
.
, ,
.
,
. ,
.
1m 1t 2m 2t
st
21
2211s mm
tmtmt
93
. .
50 . m . , .
.m 2 mmm . .
.
. .
. .
.
. .
srt . . .
]kg[m ]kg[m ]kg[2m ]C[1 t ]C[2 t ]kg[m ]kg[1m ]C[s t ]C[rs, t
, ,
____________________________________________________ .
C60
2t
1t
st
m mmm 1
-
94
9
: , , . , . ,
.
.
.
, ,
.
, (Kkg
J4200 ).
:
)()( vrvvr ttcmttcm , : ,vm vt ,vc , , ,m c ,
, rt .
:
)()(
r
vrvv
ttmttcm
c .
C50
t
95
. .
. .
, , , .
.
( ).
. .m v mmm .
. vt .
, . .
. .
rt .
. .
]kg[m ]kg[m ]kg[m ]kg[vm ]C[v t ]C[t ]C[r t
Kkg
Jc
m
t