De thi va HDC QG MTCT mon Vat li nam 2016

b Cong rna khi tbirc hien trong chu trinh tren: + C6ng rna khi thuc hi~n trong chu trinh tren co dQ Ian bang dien tich cua hinh ta giac 123.. trong hrc P = mg; pharr luc phap tuyen N; hr[r]

H~t .

Hinh3

1 40~m I

Bai 5 (10 diem)

Mot cai nem c6 ti~t dien thang 1il tam giac

vuong (cac canh co d(ldai thea ti 193:4:5) d~t c6 dinh

tren mot dta tron phfutg nAm ngang c6 th~ quay ducc

nhu hinh 3 Tren ro~tphang nghieng ella nero c6 ffi9t

vat nho duoc dat illdo va he s5 rna sat nghi giua no va

~~t phang 'nghieng la 11== i/4 V~t duoc gift t~i vi trl

each 40 em sovoi tamquay ella dia ,

Tinh v?n t&e goc 00,nho ?hat ella ilia de V?t

khong hi tnrot xuong m~t phang (ve phia tam quay)

Dun vi tlnh: vdn toe g6c (rad/s).

p

V

o "" v

Hinh2

Biti 4 (10 di~m)

Tren hinh 2 bieu di~n mQt chu trlnh bi~n d6i trang thai

ella 0,25 mol khi l;, nrong,Tren duong dfulg ap tir (1) d~n(2),

sau khi thuc hien mQt cong AI2 = 1998J thi nhi~tetc) cua no tang

4 l~n Nhiet dQacac trang thai (1) va (3) bkg nhau Cac trang

thai (2) va (3) nk tren dirong thkg di qua g6c toa d9

a) Xac dinh nhiet dQ ella khiatrang thai (1)

b) Tinh cong rnakhi thirc hien trong chu trinh tren

Don vi tinh: nhit; i/(> (K); cong (J).

Bai 3 (10 diim)

Lang kinh c6 goc chiet quang A=60o, chiet suit n=J2 d~ttrong kh6ng khi Chi~u tia sang 81 toi m~t ben voi gee toi i Xac dinh gee t&i i d€ gee lech gifra tia sangtoi va tia sang 16 la

Don vi tinh : goc (d(>, phta, giay).

Hinh 1 Xac dinh h~s6cong su~t ella mach di~n

Bai 1 (10 di~m)

M9t can I~c don dao dong di~u hoa voi chukyT tai nai c6them tnrong ngoai lucco09 1611F thea phuong ngang Neu quay phuong ngoai luc m(lt gee 200 thl chu ky dao d(>nglATI=

2,2016 (s) hoac T2:: 1,2016 (s) Tinh chu ky T

Don vi tinh: Chu kjt (s).

Bai 2 (10 di~m)

Cho mach di~n xoay chi~u eosa db nhu hlnh 1 BiSt

UAM=UMN=35V,UNB=160Y, uAB=150Jieosl00m (v).

ChIt y: -Thi sinh lam bai vao giciy {hi do can b(>coi {hiphat;

- Niu eMbat khong co yeu edu rieng thikitqua lam trim din 4chics6thdp phein.

cuoc TID GIAI TOAN' TREN MAY TlNH cAMTAY

NAM 2016 Mon: V~t ll Lap: 12 C~pTHPT TIICrjgianthi: 90 phut(khong ki tho! gian giaoad)

Ngay thi : 30/3/2016

BO GIAo Due vA DAo TAO.

i

I

I

1 ,0

1,0

1,0

+ Ta i m~t en thtr nhat : smu=n s inr , => 'i=ar cs in - n

-+ Tai m~t ben thir hai : sini=nsinr , =>

(Sini, ) (Sin(D + A - i l ) " •

r 2=arcsm ~ =arcsm 11 (VIco 0 = 11 + 1 2"A)

+ M ~ t kha c lai co: fl + [2 = A

B il i 3.

(10 d i em)

5.0

1 , 0

2 , 0

2 , 0

B

+ Dung chirc n a n g S l o e d n ghiern

co k~t qua

x == 26 , 29 7 5(V) Tir d o co :

k = c o s = A H IA B =

( 35 + 26 , 29 7 5) / 1 0 =0 , 408 6

+ T ir d a ll bai, ta dung duoc g i an d o vecto nhu hinh v e

+ Go , iU,1ftx ta co: u - 0 u

( A M+x/=AB1-HB1=AB1-(NB- I -~-·- - ~ - - ~ ' ~ N

1 M ' I

(35+x/= 150 2 -{/60 )352 -x2/ A _ ' _ :H

Bai 2

(10 di ~ m)

5 ,0

K e t qu a : T=I,3989 (s).

1 ,0

1, 5

1 , 5

n ang : T ;;::2n ~

\"g ! +(~} 2

+C hu ki dao dQng diSu hoa cua c on I ~c d on khi ng oai hr c co p uong

h op v o i phuong ngang goc 20° va hu a g l en tr e :

\~g!+ m +2 gm cosIlOo

+ C hu k i dao dong d ibu hoa cua con Hiedan kh i n oai hr c c o p l urong hop voi phuong ngang gee 20 ° va h uon g xuo n d ua i

+C hu ki dao dQng<'lieuhoa e l a c on li don k h i ng oa i hr c co p l nr ong

(

B a il.

(10aj ~ m )

1,0

Di em so

Hu rr n da n gi 5 i

Bai

I lliONG D Al~ CIAI V; C HO a ruM

cu o c THI C I A ! r OA N TRE N MA.YT i N H CAMfAY

Mo n : V~t I i L Op : 12 C~ p T H PT

DE TH I CHINH r mrc

Ket qua: ill=3 , 2129 (r ad/ s)

2 (Sina-Jl c osa )g

-cosa + Jis m a r

(I)=3,21 2 098 r a d/s.

Ch l j : T o cham (hi can eL f vao huang da n giai de c h ia d i e m c hi tiel Ca e each g iizi kh su: neu

du n , gi a m kluio di n elf vao kh u ng [han g aidm a~cho di€ m

H e t .

5, 0

a

m

3, 0 2,0

F

N

o

y

+V~ t chiu tac d ung cu a ca c hr c l a :

tr o ng hrc P = m g; pharr lu c pha p

tuy e N; hr c rn asat ngh i c ue d ai

f ms ma x=IlN;

hr c I tam F = mc/r.

+Di~u kien canb~ng If!

mg in o =Fe e se +Il N

N =mgeosa +Fsina h y :

mgsina=Fcosa +urngcosn+ufsinu

~ (sina-J1.COsa) 2

cosa +J1.sma

B i d 5.

(IO di 6m )

2 5

2, 5

Kef qua: a )T1=320,4052(K )

b) A=499,5 00(J)

0, 5

0,5

0 , 5

1,0

1 , 0

5, 0

+Ap d un g M end e leep - C lapa yron eh o hrong kh i tren :

Taco PIVI =nRTI =:>V; = nRT I =A n va V2 ==4V1 == 4A 1

+Ma t k h ac vi ( 2) va ( 3 ) d mg n ~m t r e n d u ong th a ng d i qu a 0 n en t a

p V P V

e6: l = _3 <=>_1. =_

Tro ng d V) == nRTI == A I2 ; D o do £!.== E!._ =:> Pl :::: ~

+V~y c ng rnakhi thuc h i en ta

A :::: ! AI 2 (p,_ ) ):::: AI2 ( 1 _12 ) = AI 2=4 9 , 5 (J)

a) T im nhi e t dt? TI

+Co n g c u khi thu c hi~ n t r on g qua tr inh d~ ng apnr( 1- 2 ) : A12= PI (V 2 - V 1 ) = nR T 2-nRTI =3nR T I (D o T 2= 4TI thea gi a t hi e t ).

+S u y ra nh ie t d Q kh i (; ( 1 ) lei T I = ~ = 3 20 , 40 5192 3 (K )

b) Cong rna k hi tbirc hi e n tron g ch u trinh tr e :

+C 6ng rn a khi t h uc hi~ntron g chu tr i n h tre n cod Q Ia b a ng di en

ti c cu a hinh t a gi a 1 23

1

A:::: 2(V 1 - V I )(PI - P3)

1 ,5

Bai 4

(10 diem)

1,0

1,0

(Sini) I Sin(D+A-i)

nen co: arcsm _ I +a r csm I ==A

+ Do n gh ie rn : co i t '''' 28 0 ' 32 ,S''

,.