The So, h;Y1ClX f)Cu~mhildret/physicsA/old_exams/PHYS_10411_Ex… · 1J~ (un s @ JI a.) L ~ ~...
Transcript of The So, h;Y1ClX f)Cu~mhildret/physicsA/old_exams/PHYS_10411_Ex… · 1J~ (un s @ JI a.) L ~ ~...
PJyS;(!-SCD8 {( 2CD8IOC/11 £XOrY/ g Jbfu.-!rCrYIS
5./-IcvIApt€ Cho16e-
L (c)
2, (C)
3, (c)
,-/, (b)
S. Ce)
The hor/zonfa./ -/brce. necE'sS'O-:J 7b OI/"E.=C0YY7E-Sf-C'LHC- fr;cfi~
CC!n6~ ~u"cf'J £~ ='flsAi. L}~~O=4-dJAi~~
So, II" '-!he Clff/r'cd#r--az jus!- <Juerc~'4':3 102c-'h6vi /h;Y1ClX ;;/-Is ~ .
2~ -;;J'Yla.x. = 0 =- F - LCA.>< ) F =cL",x ::?sd ) F sf(js CdY1s~f,
Alco~ as <-Me/J1cc:,.tslrCii5' Z!::: =:rno.x;; ;C - T = I/ me; - Ii rnqJ / l< k /"'5 (j /r'jC (J
a)C~ f)Cu~ ~I<J =' d (0./) =: 0,96
/m?u-Is:e = bp J So q ==0, Cft?&11!J cn~r- '-/he -h~ -#7e -t6~
{J.c!>/ r?OY-?u';Y c/e!.ls {AS ClboCA...r/fs:- ?6S{?-;6x-.-} so 6r could he YltPr.-ZM.o.
--4'lo-IIl£r-- IAJ(? o/IcoIcIJ a-f- /I. rS mar ?Je. Can anj sad' -!hair f6r
e~ CLYY1pU,/ c./-Ize (}.~ t"n v-elCJCIj; /S' ze..ro / 6~r not- ffle &-doc/', ((Je./f!,
L () n S'erue.. yYl 0 t11 el'1 Ium =
£/ (k 'O;oh'c. {1 fir's Id">-L
~ V ==- 1"Y7N' VI' .(--/21?7/V ~V .(--Vi -;; "\Ii
-='> n?N V -; J'?1N ';t -I- /21?7/V (V of.,,:/) / Y = vI +-/2 V .{... /Zvl )-Ji V
v.r- ;; ~
(bmpOY1enk: x: bYYl (~'x:) :=: 2Y>1(- V ~.3.!)goo) + m (1,";- V CoS 6d) i- 3h1 (3VCOS'30')
:= vYly ( ~. 2. VV'I Is) ) =J>Vtx ;; I. L/ V ",Is
6/'Y1 (V;(J)-:;: 2m(VSIY7800) +rn{I.SVS/YlbOO) i-3~(-5VSI>15t:J°)
= vYlV (-I,ZY'>/S) ;:') *=- -O.2.n,!s
(J'
v{ ~ - ~e'l ~r/ (~:) ~ - S~ [.--en( '/~:O)] = IS b,h
-'
1J~ (un s @
JI a.)L
~ ~ Jdrl'? ~ fA d~(>
/....
:; f k '£ '3d~ :=<)kX</t=-- k.L4J.f 0 Lf
'-1M:= /V1 SD k..:= L<f..J
b) -Alxc~ == Ix drY! ::: JxA dK == f~x<ld)( ::: ; )(5( :=<)
kL5
S )
kL5
Xc,., -:= 5 tV! J
SUbs-h'k6.. I'? ;:; ~ X ==) Cft1.
1../5.~
c.) l I
Ix=
LjM . i:-.5 -L4 5""- ~L
'13e+or-e..-') C'7ftVt ('So D--+- '-ILls ~ Or1fi",-~
'--Is; ~ end.XC<v>t.
1./5~
~~~
A+- j.e..- ~ Co';')~ t"s 6-+ <//5'"~ or/'J I~)
L/<;; -h-(JYV'L~cvr-- e nd ,S:O
end of +-uj:J<- IS 3L(s 1+~3Y5 )\GW\-~
Orl?I~.
-fu6e FYloues 3L/5' IrL +x dl;...ec</"(f>'L.
d ~ 3L/S.I
vT=c!)
v:=- E-T?~=Mv:::M:;L:= T3ML 0-t
ST
11C~
d)
/Vt
~j~O! u,
I
Q.) ~ ;=fl~fi) ~::: (m 4-- tV1)J := 29t/oCJ N,~~AJ = 2352-0 tJ := ~
b.)uJe. CO-Y) t-£[a. £ dts fCU/lO? ~ sp.ee d U'E;/d LI '2 == ~ '2 +- 2cAd" -') nucl!3
:& F == d: = (mf-M ) CZ L{ = Z 1 Oil ,/ .'s-k.,c( L <;;i:,'J ) slL,'d ern+-~) == fii:d = , {) 7 T»; s 2,.
Vt ==0 ~Ski,,( 0 = Vo'- - 2. (t.~C(y2cJ ,(,6) / \j '2. := 3ztf \I::: /?; rn/s
) L 0 I
cpeed ~ COtil"/eT'><-
c.) (hY7::>O'/7 en fs;- : X : 111\{ := ~ +- fv1) tt CCJsf./S-°
V[. = (f'Y1+M) ~co'S'l.i~o= 7-6.4 ~.t.
: MLt. = (m+M )v-p- ~I:C'-f')'"
(f ~. ~ 0>-,<1)<1, ~",</,.~ /".3 ~(sC M
Q)N
Jf(a) ~yJ~ ~ . ~1--f}Pc~q <H0 h /'Iii
b) m: Z'r;. ==m~= F-fi. Z!1[; = n7~ ='0 : ;[-7~
-? if,,:: Yr/(j
~; L:G= Ma)C =-~ -;Z; ~Fj =AoJ ::0 =fi- ~-:1;
C). {j}--frl : T = II;::; =>. 70... . Js.?'s C
tJ: =- F aI- mt'nirnUri1s s/"1<'1.\G
CcJY1fa. c.f {6rQ
j/ -r -rnCJ =0 I.I. c- ,:rng...r's IC 0 / /-'S rC. (;I'
f2 ~ rnd
fl~
d) F/r::d- C!on5/de.- -/he verhcJ /l.
ya<;: 0'>1. fI1 ~ g£ =- C) =A -7 -~(q 5'0X=!l: +/19-/ ~i J s~) s 0
..In '-/ht'J Ca.~~1 3:.. :::~N.k = ~k.. (9; +-J1y)~ AA.t.d(Yr1+-M)
. S,I tlIa.x::: ~ - 7:: =: SJ! - ~N.:J (mf-~) /
I'Vl 0. Yn+Ma=-- ~ - ~ u1C. q;< M /As M 0
Sr>?ce ~)< /s fA€? 5a;Y/e. 4r kfI-J &/xk.s / tJC ca.,-., U'M? 'fh/s Ie Sc;/ve -10... F:
rr7.QJ( = F-Fd ;; F - ~ -:: ~ (~ ) - E:l (m +-"" ).}-lL qP.s M}As M d
&I
F==-- ~ ( I + ~ ) - ~ (~I-M).-M*- Gl»s M M if
e.) If! 'F I H:.f'Ia..c£.S' F) -fhen Z- <.mJ ) Se> -jlJe. #rcx o~ C/::rYJfacf- Qttn.
bE! srYJa...lCt.r,. r-educ{ 7J -!he. Y} ec essa7 hor i za-n-faJ c.o"';'Y:>G>?~VII- CJI- F / "
r!/e.c>.rfJ, ,./ W< Ta./Q. --!his -1-0 -fh~ ex:frej/YI.IL LVher-e.. pI is pu~ l/'f.rfr'c~.I
J= I=- 7J} wNch /s ceHc..in~ ~53 -fh?lfl F CbYVJf'l.tt.d i (c().
y.
/.2 <)j.)S
'D~
h.)
c.)
d.)
I
IiII
I LSiV'le (M~~';j/ '). Y
I -~~
tM~
tN~"~
fV\g
T~ 1
2M ::~ = uR.
a.) Z; F = fr1/1 ~ M v 2-r ,""\.,,- =R..
(!f)
TS/l?@
<£ FJ:O 0 == Tcos-e - Mj
~ T:=- - M~CDs e
Sui, s;f,"-!t-.-6: {I"'}To Y'o.drJ e!;UA<h-dlA-'
Mv2.. .- - MCf SII'I& z- - L SV'~
L~/~e - U ('Ose ) V - ZJ a;s:e
. ( ~ I~ -zsy == \1 3L CoSS-
-<1 f =- M\le. ='- TL... r- ~L
~ --J-Iu- "roc.kL {- etA c~:f/O>L) So ~
-) re/o'>1e.Mber) /vi I"~ Do.-fLV\c.-h'av\.. oP +i rvu ~
T =- Mv t.L
dT- :=dt
clT--eft
1/ 4.X rea..f(; lNa.n.T- V (t-j /
+J..z f"'VIC\5~ c.hany'S/ 30
crv . u 1<----dt - Z(Mo) - Rt-
dA-i v'Z.. 2..A4v dv-~ +---de L L dt.-
dvdt ':
UR-2M
= ~z-R + ~ (~ )L L 2.M
- v'lr<.. vuR.-~ -L L
in -krTYIS 0.(2 V
4.M.. ha.u-e i'o tAJOYFJ cx.I:Jt:rl-:<--f--!he Acr --Ih~.f
;L1 =- ~ -Rt -/lr- ~ je-f Fd-kfJ masS' is ZlVto -Rt-
f:
Of c/I::UIJ>-
ZIt1" - Rf::0
1'1/1
dv :::
Yo
V-r =- U ---In ~z 110
)2.f11 - R-t0
:,"
jbdh
;:- fA. -;;;;:- b0
Idb ;;. Relf:/