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tổng hợp một số công thức nâng cao dành cho học sinh lớp 10 THPT
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PHN MT C HC
VT L 10PHN MT C HC.
Chng I ng hc cht im.
Bi 2: Chuyn ng thng bin i u.
Gia tc ca chuyn ng:a = (m/s2) Qung ng trong chuyn ng:
t +
Phng trnh chuyn ng:x = x0 + 0t + at2 Cng thc c lp thi gian:
2 02 = 2
Bi 3: S ri t do.
Vi gia tc: a = g = 9,8 m/s2 (= 10 m/s2). Cng thc: Vn tc:
= g.t (m/s) Chiu cao (qung ng): h=
Bi 4: Chuyn ng trn u. Vn tc trong chuyn ng trn u:
(m/s) Vn tc gc:
(rad/s) Chu k: (K hiu: T) l khong thi gian (giy) vt i c mt vng. Tn s (K hiu: ): l s vng vt i c trong mt giy.
= ( Hz) ln ca gia tc hng tm: aht = (m/s2).Chng II ng lc hc cht im.Bi 9: Tng hp v phn tch lc. iu kin cn bng ca cht im. Tng hp v phn tch lc.
1. Hai lc bng nhau to vi nhau mt gc : F = 2.F1.cos
2. Hai lc khng bng nhau to vi nhau mt gc :
F= F12 + F22 + 2.F1.F2.cos
iu kin cn bng ca cht im:
Bi 10: Ba nh lut Niu-tn:
nh lut 2:
nh lut 3:
EMBED Equation.3 .Bi 11: Lc hp dn. nh lut vn vt hp dn.
Biu thc:
Trong : G = 6,67.10-11
m1, m2 : Khi lng ca hai vt.
R: khong cch gia hai vt.
Gia tc trng trng:
M = 6.1024 Khi lng Tri t.
R = 6400 km = 6.400.000m Bn knh Tri t.
h : cao ca vt so vi mt t. Vt mt t:
g
Vt cao h:g =
g =
Bi 12: Lc n hi ca l xo. nh lut Hc.
Biu thc: Fh = k. Trong :
l cng ca l xo.
bin dng ca l xo.
Lc n hi do trng lc:
P = Fh
EMBED Equation.3
EMBED Equation.3
EMBED Equation.3
Bi 13: Lc ma st.
Biu thc:Fms
Trong :
h s ma st
N p lc (lc nn vt ny ln vt khc)
Vt t trn mt phng nm ngang:
Fms =.P =.
Vt chuyn ng trn mt phng nm ngang chu tc dng ca 4 lc.
Fms
Fko
Ta c:
V ln: F = Fko - Fms
=> Khi vt chuyn ng theo qun tnh: Fko = 0
Vt chuyn ng trn mp nm ngang vi lc ko hp vi mp 1 gc
Fko
Fms
Fhp lc
Ta c:
Vt chuyn ng trn mt phn nghing.
Fms
N
P Fhp lc
Vt chu tc dng ca 3 lc: =>
T hnh v ta c:
Ta c theo inh ngha: Fma st =
(1)
Theo nh lut II Niu-ton:Fhp lc =
T (1)
Bi 14: Lc hng tm. Biu thc: Fht = aht =
Trong nhiu trng hp lc hp dn cng l lc hng tm:
Fhd = Fht
Bi 15: Bi ton v chuyn ng nm ngang.
Chuyn ng nm ngang l mt chuyn ng phc tp, n c phn tch thnh hai thnh phn
Theo phng Ox => l chuyn ng
O
xax = 0,
Thnh phn theo phng thng ng Oy.
ay = g (= 9,8 m/s2),
cao:
y Phng trnh qu o:
Qu o l na ng Parabol Vn tc khi chm t:
Chng III Cn bng v chuyn ng ca vt rn.Bi 17: Cn bng ca vt rn chu tc dng ca 2 lc v ca 3 lc khng song song.
A, Cn bng ca vt rn chu tc dng ca 2 lc khng song song.
EMBED Equation.3 iu kin:
1. Cng gi
2. Cng ln
F 3. Cng tc dng vo mt vt
4. Ngc chiu
B, Cn bng ca vt chu tc dng ca 3 lc khng song song.
iu kin:
1. Ba lc ng phng
2. Ba lc ng quy
3. Hp lc ca 2 lc trc i vi lc th 3
Bi 18: Cn bng ca mt vt c trc quay c nh. Momen lc
Vt cn bng ph thuc vo 2 yu t.
1. Lc tc dng vo vt
2. Khong cch t lc tc dng n trc quay
Biu thc:M = F.d (Momen lc)
d
Trong : F lc lm vt quay
d - cnh tay n (khong cch t
lc n trc quay) Quy tc tng hp lc song song cng chiu. A O1Biu thc: F = F1 + F2
O
(chia trong)
d1 d2 B
Chng IV Cc nh lut bo ton.
Bi 23: ng lng. nh lut bo ton ng lng.
ng lng:
Xung ca lc: l bin thin ng lng trong khong thi gian
nh lut bo ton ng lng (trong h c lp).1. Va chm mm: sau khi va chm 2 vt dnh vo nhau v chuyn ng cng vn tc .Biu thc:
2. Va chm n hi: sau khi va chm 2 vt khng dnh vo nhau l chuyn ng vi vn tc mi l:,
Biu thc:
3. Chuyn ng bng phn lc.Biu thc:
Trong : m, khi lng kh pht ra vi vn tc
M, khi lng M ca tn la chuyn ng vi vn tc sau khi pht kh
Bi 24: Cng v Cng sut.
Cng:
A =
Trong : F lc tc dng vo vt
gc to bi lc F v phng chuyn di (nm ngang) v s l chiu di qung ng chuyn ng (m) Cng sut:P = (w)vi t l thi gian thc hin cng (giy s)Bi 25, 26, 27: ng nng Th nng C nng.
ng nng: l nng lng ca vt c c do chuyn ng.
Biu thc:
nh l ng nng(cng sinh ra):
Th nng:
1. Th nng trng trng:
Trong : m khi lng ca vt (kg)
h cao ca vt so vi gc th nng. (m)
g = 9,8 or 10 (m/s2)
nh l th nng (Cng A sinh ra):
2. Th nng n hi:Wt =
nh l th nng (Cng A sinh ra):
C nng: 1. C nng ca vt chuyn ng trong trng trng:
W = W + Wt
2. C nng ca vt chu tc dng ca lc n hi:
W = W + Wt
Trong mt h c lp c nng ti mi im c bo ton.
M rng: i vi con lc n.1.
2.
A
B
Trong :
vn tc ca con lc ti mi v tr A,B
lc cng dy T ti mi v tr.
m khi lng ca con lc (kg)
PHN HAI NHIT HC
Chng V Cht kh. nh lut Bi-l Ma-ri-t (Qu trnh ng nhit)
hay
nh lut Sc-l (Qu trnh ng nhit)
. Phng trnh trng thi kh l tngBiu thc:
Trong : p sut kh
V Th tch kh
[ nhit kh (]
Chng VI C s ca nhit ng lc hcBi 32: Ni nng v S bin thin ni nng.
Nhit lng: s o bin thin ca ni nng trong qu trnh truyn nhit l nhit lng.
Biu thc:
Qta = Qthu
Trong : Q l nhit lng thu vo hay ta ra (J)
m l khi lng (kg)
c l nhit dung ring ca cht
l bin thin nhit ( oC hoc oK)
Thc hin cng:
Biu thc:
Trong : p sut ca kh.
bin thin th tch (m3) Cch i n v p sut:1= 1 pa (Paxcan)1 atm = 1,013.105 pa
1 at = 0,981.105 pa
1 mmHg = 133 pa = 1 tor
1 HP = 746 wBi 33: Cc nguyn l ca nhit ng lc hc.
Nguyn l mt: Nhit ng lc hc.
Biu thc:
Cc quy c v du:
: H nhn nhit lng
< 0 : H truyn nhit lng
A > 0 : H nhn cng
A < 0 : Hn thc hin cng
Chng VII Cht rn v cht lng. S chuyn thBi 34: Cht rn kt tinh. Cht rn v nh hnh.Cht kt tinhCht v nh hnh
Khi nim
Tnh cht1. C cu to tinh th
2. Hnh hc xc nh
3. Nhit nng chy xc nhNgc cht kt tinh
Phn loin tinh tha tinh th
ng hng
D hngng hng
Bi 35: Bin dn c ca vt rn.
A, Bin dng n hi bin dng t i:
Trong :
chiu di ban u
chiu di sau khi bin dng
bin thin chiu di ( bin dng). ng sut:
nh lut Hc v bin dng c ca vt rn:
Biu thc:
Vi l h s t l ph thuc cht liu vt rn.
Lc n hi:Ta c:
Biu thc:
Trong : (E gi l sut n hi hay sut Y-ng)
v S l tit din ca vt.
Bi 36: S n v nhit ca vt rnGi:
ln lt l: di th tch din tch khi lng ring ban u ca vt.
ln lt l: di th tch din tch khi lng ring ca vt nhit t0C.
ln lt l bin thin(phn n thm) di th tch din tch nhit ca vt sau khi n. S n di:
Vi l h s n di ca vt rn. n v:
S n khi:
Vi
S n tch (din tch):
Vi d l ng knh tit din vt rn.
S thay i khi lng ring:
Bi 37: Cc hin tng ca cc cht.
Lc cn b mt:
(N)Trong :
h s cng b mt.
chu vi ng trn gii hn mt thong cht lng. (m) Khi nhng mt chic vng vo cht lng s c 2 lc cng b mt ca cht lng ln chic vng.
1. Tng cc lc cng b mt ca cht lng ln chic vng
Fcng = Fc = Fko P (N)
Vi Fko lc tc dng nhc chic vng ra khi cht lng (N)
P l trng lng ca chic vng.
2. Tng chu vi ngoi v chu vi trong ca chic vng.
Vi D ng knh ngoi
D ng knh trong
3.Gi tr h s cng b mt ca cht lng.
Ch : Mt vt nhng vo x phng lun chu tc dng ca hai lc cng b mt
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