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~ds across the surface of a pond in a lay(~r one molecule thick andF total volume of gasoline is 2.7 cc, what is the diameter of a
I. Suppose that a gasoline SliCi spre
covers an area of 2XlO3 m2. If th
molecule of gasoline, most earlyl
I~2.70 x 10-3cm
1.35 x 10-4 cm
2.70x 10-5 cm
5.4 x 10-6 cm
1.35 x 10-7 cm
a.
b.
c.
d.
CI:J
b~-.=
141.t:4~&
2. Sheila throws two stonesstraight down and the othbefore the second stone h
...~ 5s 2
"'5:' 4s --«--
c. 3 sd. 2 se. 1 s 4/
3 A parachutist jumps out of n airpl
in 10.0 seconds. She then p Ils thdescends at 10.0 m/s for 91. secoparachutist pull the cord, m st ne
c.i? 910 mb. 1126 m "
.1616 md. 490 me. 216 m
"'2 ~, 3'12 -J 1~ ~ .2.1' '"-
la 1J~ i(. e..,J " riO .11r..,.c;S
I (f) IS 4 ncet" .t " above the horizontal from the top edg4~ of a cliff with an initial
sures the stone's trajectory time from the launch at the top of the.~ What is the height of the cliff, mo~:t nearly? (g = 9.8 mls2 and
4.
2Sm7SmlS0m22Sm300m
a.
b.
c:!
I 17,o = 22...C- 3~' .= " MIJc'.t: .c-..:J,., J:', .~ ~ .,;.It o/e ~'A-- ~."lt' : ~.: IJ':.'.fi, =D
l-i,: '1f1.~ = I. /2. ~ J 2"'.=- .t..2.4-UC. IS'
Io~ .~ 4edltt' .~~ .,"""' ;1.-'U.rr S; 7~ .~ tl. d. J".,'t.-. JS J~ : " /l. J. i- , i:-
h = t "..2'S".'.. a2. b/= .z2(':J~
I-t ;- 0/4 ..~ CJI13 k
I .2.X ID" ~
top edge of a building with a speed of 25 m/s. She throws onet up. The flfSt one hits the street in a time t I. How much later is it
;~Y~Il..'..~~ = 11. -1{ = 1.$"'- ~7..'.t' ~ ~.:. .z.srJt.e. .
L A- d l /rl-. ~W ~~IIA1 : S;/~~ ~j,/
..,..Jt .,. ~ U-4 t J .,I. ..IJJt 2,.d it S:I k~ ~".,..J 1. 4ot~. &e :-~"::""~ I""'
~ 41 1.- el. 11. -"" ,h~: ~ U .r.1 pe£' *' r
I @ IS"-,"
,ane and accelerates with gravity to a maximum velocity of 98 m/sparachute cord and after a 4.00-second constant deceleration,Ilds, reaching the ground at that point. At what height did therly? L -1'-11.:" .'A ~. 4 ~!!::.=. ./4 "1'~ ) -I:.f = 'IIJ'.
J "S -1(J(7y ~J ...J.aI, -~. 't .,. J.4;t &. '8. of J.(1!::!'/{..'1,. -..~ :l Zoo A!T
--Q.~,.: r1l.f~IJf)H.I
A stone is thrown at an ang of 3(speed of 22 m/s. A stop wat h me:cliff to arrival at the bottom to beair resistance is negligible.) ,
~ S.1.-2.t..=
5. The spring in a spring gun $ a s~
" I
cocked. What is the 1a;h speed
,6:') 20 m/s ~
y 80 m/sc. 150 m/sdo 300 m/se. 440 m/s
iring constant, k = 250 N/m, and is compressed 0.14 m when fully" it imparts to a 12-g marble upon releas:e, most nearly?
ME: ItJt(PE}; = {k:E).,.+D : ~~"' Vole = ;l)tf &1.lZ.
1= (,,11. v. ~ VI.: r ~!. .(~.j,f)17~Va =j:fii::;'= ~.2 '"A.:." "' L D.~".l.. j1'-f
6. A simple pendulum, 1.20 ~ in le~is at an angle of 15.0° from the v
swing, most nearly? Igno e air
Clt~
gth and of mass 0.6 kg, is released from rest when the support stringrtical. What is the speed of the suspend,~d mass at the bottom of the~sistance. (g = 9.80 mls2)
5' .('P.e'). +6 = (KE), + 0 ~ " &..
=.'PE;:J.(I-~/&--)I-'1=1'!. ~JJ" : "'1-/.~" T 7~
= [:2.,il~J"841A 2 = [ 2-(~.Z.O)j(b.O.Sf('.tJ]. ~
1-4.1/1=. fI.d-'1~ l' .: {) .aft ~ IJ. , ""l~
0.40.91.31.82.3
11
A 2.6-g bullet leaves the bfel °~and the expanding gases ° the b
nearly:
a gun at a speed of 350 mls. The net work done by the gun barrelllet as the bullet moves the length ofthe~ 47-cm-Iong barrel is most
~ '/ '1IIe fl.D'J : ~,N'.".= A(kE) ~)f ~
IT.. .L ..u"- =- J- (d.oDl')1:J)~)2. =~'2... ~~
7.
w,t~t BlJa)b)
4
w'
Q) if t~d;
8. A high diver of mass 50 kg tep~1.3 s after entering the wate .wha
a. 490N .r .U
b. 540N .Ap =c. 700 N --A
~ 1030 N 1J. -v~e. 1420N ~
9. An object of mass 0.50 kg i trans1measured to be 19 N. The r diusgravitation is G = 6.673 x 1 -II N
mass of the earth). The mas of Pl
ja. 6 x 1024 kg 'K
b. 7 x 1024 kg ~
c. 8 x 1024 kg !..8.
(!) 9 x 1024 kg ~ I
e. 1 x 1025 kg
t. .~ 7.i )( / "-,,
mls
mls
mls
mls
mls
a.
qJ
d.
le.
2.61
18.71
48.61
1591
159 kJ
ff a board 10 m above the water. If his clownward motion is stoppedaverage upward force did the water exe:rt, most nearly? ')'I~&' '=" F.A't. =' (At) f F= 7;., ..,. ~ = ~ -,
1't1re 1J~ ~ '4' ~&lJAS cli.- J,rit 1A.Ie,t~(?tJXHJ~7" ~
~ (i":ii:gjjD'~=- 11-.{) J8f/~~c. '=9 t1110 -J.
: = PM -(sa,J= -Z!-!. :. ~I K; , I=;, = n.f~~.~~,.JI 1.3 aJ 1S'.--;t.~orted to the surface of Planet X whe~Ke object's weight isf the planet is 4.0 x 106 m. Given that the constant of universaln2/kg2, compute the mass of planet X (as Cavendish computed the -
'met X is. most nearly: .J ~L ,a t K. 0.. '11 t- ~= 'fA/-">gx .31"'/~ ~ , 2.
M -W" JIf. .t!.:. ~ .I!dl'll'J.tL= ~. :: 1J'( .l.~.. 4".. &
~a. .~ ,I. II XI'.. 1~f'1 38(..k/'lj.a. ;;=. ~;I.I'XIl) x/~ .&" II.1 ~
10. Fifty grams of ice at 0specific heat of water .
equilibrium temperat
a. 70°Cb. 50°Cc. 10°Cd. o°Ce -10°C
11
Iin 50 grams of water at 70° C in a thennally isolated container. TheC, and the latent heat of fusion for ice/v/ater is 80 cal/gm. The final
.early, o~ ltot J h 1:11.( ~~ W.atJ 61*"8 ~'4. +e d ;c'
, .~~ .AT: .57) .1. 7~ :;0 3;~= J.r.AeJ.
,lIe ,...cH ~~f IU 7~t ."".4 r .$8.SO~oofb4~,eJ
I,.itU ~:;j /8~ J~~ j le -us ,~ : G> If ~
18 Ir IfIK7Jlt.e IcE + 11",,4 t:d
eat at 1050K from its combustion proct:ss and ejects 5000 J athat is the efficiency maximum imposed by the analogous idealized
~ : t.- l/j .:- b~~"
r~~I/A -~11);
.~A(
"'> e~.
1-
, I ~...
, ;. ~ IAJ~
~ ..t II I;
iA heat engine receives 7 00 J of
350K through the exhaust a one. ,ICarnot engine, most nearly. I
-a. 28% -Ib. 40%
rC:") 67%~ 71%
e. 80%
" eel ~:f)
12. Approximately how much95 o C? (Assume that the
respectively, and that the I
a) 4 kcal (a} ~
~3kcal N ~"'Cj 1.4 kcal
d) 1.2kcal PJ ~I e) 0.375 kcal
tr;~
13. Two ideal gases, X and y , ~ thO~molecular mass of X is 32 t. es t
molecules of the two gases, <KEx
.".."...32/1
5.6/1
1/1
1/5.6
1/32
ia.I
b.
~
e.
14. A mass of 0.40 kg. hanging ~ m~simple harmonic motion. Wh t is The starting displacement fro equ
C4 -'S "
a.
@c.
d...
zero1.4 m/s
2.0 m/s3.4 m/s
20 m/s
jv;=
Iis required to change a 15 gm ice cube tirom ice at -50°C to water at
heats are 0.5, 1.0, and 0.5 cal/gm oC, for ice, water and steam.!ts are 80 and 540 c~~~~~aporization, respectively.)
~,,-;~ ~ (&"1. ti) ., ~ = 'i 7re..t
i I a d a~ ( 9 ItJ) .{!s-) =~ 1'2.6"8 c...t
~1.I..ttItJ;..4..'~ : (9~ll)./.r= ~ .3 A~
't 'tCf'")0(j:' 34#'6
I ~ d~/J~
oughly mixed and at thermal equilibrium in a single container. Theat of Y. What is the ratio of the mean kinetic (~nergies of the
Ipring with a spring constant of 80 N/m, is set into an up and downe speed of the mass when moving through the equilibrium point?librium is 0.10 m. .1 , (k E' -.L ...Ll 3.r.. (PE)IJ~. .2.. " ,. = I'~.: ~ -1. ..
1r!::Al= /
~o, has a frequency of 410 Hz and a wavelength in air of 0.800 m.16. A musical tone, sounded 01 a pia~
What is the wave speed? I
141
235
328
512
587
a.
b.
(!j!
e.
17. A horizontal force of 600 N is neeand a 250-kg crate. Comput the acrate begins to slide and the coeffi
f: "1' ,..= ~J.'. JX..~
j a =- F"" ~
18. A 9.0-kg hanging weight is onnelIf the coefficient of sliding ictiolI !
--1- -()~3 kg .-.~
T
~~T
ted to overcome the force of static friction between a level floor::celeration of the crate if the 600-N force is maintained after the
;ient of kinetic friction is 0.20. r rAl51'liJ Al.0).: 4fD At ~ lred,.J fU « ; r. : , ID --H(J = I
IltJ /~ -(J .44- )"/~~ ~
:ted by a string over a pulley to a 3.0-kg block sliding on a flat table.
IIS;~2:, d~~~ .the .:j;i~1p-~A~:~, i.) 4»
H1: F:6't eo 1- ~F = I-. 112. ~ p ': 111.. 4' L
A -.,.~ I ~~ 1'J( ; 1 .f\yeel.L~ 4, -~"- .\I , w-. ,
t;;-r-r-,JL.11 11-. a.,=IJ;~ ~ d' 11, -H'L ~,
I , y j- 2l t IV~t~" ,-= ~:. (,t't'JA~ = 1d(1.B}.I.~- .
.../t'~" ~glFig. 18
: outside a spaceship, circling the ship with an angular velocity ofby the lifeline, her centripetal acceleration changes. At what
~ration become 7 g= 68.6 mls2. (Show your w'ork, and identify anyan equation.) 10
W~ : ~ ;t ~ o ..r.J.=' L -~s~ .
{ I= MR&.: "))fl.."...t 4f IJte.t"4 )
19. An astronaut is on a 11O-m ifelinc0.15 rad/s. As she is pulled nwar(distance does her centripeta accelprinciple which provides yo with
CaN.s ." RNI" III iEM
;1 7 i IJ i ~ '¥I
w~~"'4 = ~ /&Ji ':!1!1 f.IJ i ~ AJ.f .
x.,. )( qa-
,fl'-4 Qc.= U =:I
~~fIfJIi "
~~~ , /.Jf .
-, ~ ...'.-+lAJ.Lr'.f r ..
m/s
m/s
m/s
m/s
m/s
23 kg is attached to a rope, which in tunl is wound around a 0.050-~II. A crank with a turning radius of 0.2~) m is attached to the
It of inertia of cylinder and crank is 0.12 kg. m2.lfthe bucket is
20. ~ bucket of water with total mass ~ radius cylinder at the top f a w
end of the cylinder and the omel
~aised to the top of the well, 9 m alit hits the bottom of the wet ? (As~Ifrictionless bearings and th 9 =
CQAI.S 1{ NE: ~ ; .,. ,
1}= 23 ", WE) = I
h :. 1 ')I\. '"11. J-.R: , .SI )I "'11$ '-'r
placed in 60 grams of a water at 28 °c iln a th,~rmally isolated"eached at 32 °C Obtain an expression for the specific heat of thellue in caVgm-oC. '
( .)
mc.s (74- 32.) = ~." l~/1 3l~2.g/
~ = ~~ .-!.l~=,2.,' 3 s
)ove the bottom, and released, what is the speed of the bucket whenume that the rope's mass is negligible, that the cylinder turns on).8 m!S2.) l 'rl I""u .\
= 0.'. (kE4 = (f('~~t .'..\:~E"/I;Dr
7,h = fHIlf"&.t-frlAit flt.lf.= 1:J:/R~-ri~ ~fI --4,.'""""'n t ,1'14Jf -I.. ? ~
~~ I.) I...' ,~ 2.~" ~--~-~
,
21. Twenty grams of a solid at i oc iscontainer. Thermal equilibri m issolid, and evaluate its nume ical v
~ gas are initially in state A at pressure, ,'olume, and temperature,
olumetric heating raises the temperature from Toto T B = ST ° along
=V 0' T B = ST 0) Then an isothermal expansion along path BC
c=Po, Vc=SV ~, Tc=TB=STo). Finally an isobaric compression
, A, along the path CA in Fig 11. (This process may be familiar
22. h'hree moles of an ideal mo atomi,rp 0. v 0. T 0). respectively. n iso
path AB of Fig 22. B: (Po= Po. VI
carries the system to the stat C: (Ireturns the system to its ini al stal
from Exam Ill.)
~upposethat the are~nder f he p 1~nput consists of QIN = 6( o Vo )
~rocess BC. Then
'S. v curve, BC, is specified to be 8.04(F'0 V 0) , and that the total heat~long path AB, plus the heat received by the engine during the
I a) (5 points) Obtain an ex~ressiol
~eliyers per cycle. I I
tl, in terms of (P o Vo ), for the net work, W NETOUT which this engine
,
OUT /Q TOT
IN ,
tJ.asr
t%
~
~"1
~v
I
l1c
y<:.
Fi '<} 22(a.)
--
.td'
..t:.4-f ~~ ..J +.d ttt.~~
-- -=
Ib) (5 points) Obtain an ex,ressiq~nd compute the numerical Ivalue I
~l I'
A: pg,vo.. To: (~.
n for the realistic efficiency of this enaine e = W)f eR. b. , R NET~-~--- ~--
: Bc AU.t:D =- W/N"-:f ()/K (~7=-~.,j~/~(.: -kJK = +WI1-~r .= Ij~ t-.d« P, r V ~
= 6.~ f-~ vdj
~/Sod (J/~: ~:~4'f- ~ f4J +1.-~~'14J:. 1"",.dlf.(P.VV
., ~~ IJ:~ -~ ~ t:4 ~
= + v. Po (Wtf4lfOf1e!)t
23. For the process of problem ¥2, ju* preceding,
tssiOn for the Carnot efficiency, ec, of the reversible Carnot heatthe maximum and minimum temperatures of the engine describedrical value of ec .
a) (5 points) Write th t expr,
engine operating b tweel
there and obtain th num
b) (5 points) For the ~ake 01problem 22 is eR = 0.2
difference to the s cond
discussion assume that the actual,efficiency of the engine of}. Then compare eR with ec and comment on the relevance oftheiJaw of thermodynamics.
I-. I~ -:1!. J- ~ 1~'8(J
(- no
--
ec .:: (
- ") eR = ,,-2.9 11.1'f ~IS u~~1..1
~t , i" ~ ( ~~ 1; j 7H ) ~ ~
~~~~~~~~>~ d.IeI ~L .s/&.iI .a.." ~ " '1~
~ t..cft. ~t <e'C ~ 4j~L
~J ke-r ,., ~ ~ c",~ ~~ /tJ
1 ~f w/1,d jt Fe1t .
~ween two points 71.0 cm apart.
~ire is 555 N, find the frequency of the wire's second harmonic
24. A D--42D-g wire is stretc,ed be1
(a) (5 points) Ifthe tension f the 1
(b) (5 points) If the tension~nh~~amplitude) of the wire's thirr ~
12.~(a)
Iwire is 555 N, locate the anti-nodes (points of maximal vibrationallonic on a distance scale from O to 71 cm. How many are there?
~.~nJIl.. .,Jj.z = L
! ,~-.ic. : ~ .=. L -1 -1tl-
I :- 4.'fZ~ X/~-3 .~ = ..i":"' X/8
I p ~ -;;-- ')~ .3 ,.,L. .1$'; ss- k.lD -= {d .9"" X It' =- 'i'd YFt',,-
r.../r I' +
, +: ~=
F
--~~
6.714 ~~e
I A.. lAJ ~~ -I , Yt.J' I t\ L :
,~. ,... A. .~ ,,4 h'" 11
..7(,) 72..)
s-:L -,
'FD1t(I»
3S".~ e...rll. B1 &,fI4. ,
~~
II. ~ S"'I t~
~
1<- L=
Alu F= ~r.>!
J "tr = [ffi; ~
~~~
bt-"H- ~ ~ I
~ et: .
