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Unformatted text preview: 1. Which of the following is not an example of motion under constant acceleration? _ L ' fl ‘._.————
/ , I I, g r3 ’JA'J .rpt': we a) a stone falling down a vertical shaft with no air resistance _ If; r.
. a box sliding up a frictionless inclined plane J A U z _ __
.»~— c)" penny circling on a uniformly rotating turntable E 0 :‘I : / r) h “(m' l 7‘ l I‘ 9—2” I A! 9 P “J 914“ J," d) a penguin sliding on a straight, icecovered path with kinetic friction coefﬁcient Hist]. ir— Ma 2/1ﬁt ,A/ .\ J. g a} e) Godzilla being raised vertically by a rope with tension T=l Smoodzumg _ 1/14: )4. ._
\ "H" r' r ' 1 . x r ‘ l. ' " J
\[ﬁJJC A.“ ' “F E .— TFMO ‘H 7}!“ L:
...._AJl',___’4 I l ’ T} I l I. ..
. “6,. ..r f: [.3 — l '1”) ’lflr‘” ’"’ 7'
. :' ' ,. . ._. _ __ ,7/3 '" J i
9‘  r19." 1* . <1.  r.) " 3 JP
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tiff.  ' r’ L; 2. (P) A box of ﬁne Italian salami slides down a ramp with friction. Which diagram below
correctly shows all of the forces acting on the box? XV”! so —.> c) C
d) I)
e) none of the above Physics [40 Fall 2002 Midterm l 3. (P) You wish to launch a water balloon through a friend‘s window that lies 10m away
horizontally and is 6m above ground level. The balloon’s initial velocity is directed 40
degrees above the horizontal and it is launched at an initial height of 1.5m above ground
level. With what initial velocity must you throw the ball on so that itjust clears the
window? “ll 6 o“ 3 H
[r i '.‘ [f4 — sl‘ WSW t “€315
H J Kﬁ It
ix {_ X {a} ' (I. "0: 53‘ f I \i p
“’“r‘” => a llmfs
'bﬁlSmfs r» ﬁe)" 19 mls
d) 23 mls
e) 27 mils . V"  4. Two mountain bikers, Ella and Eric. are riding a 20km trail. After 8km, Erie stops to
repair a ﬂat tire while Ella continues to ride on at an average speed of 16 kmfhr. Eric
changes his flat in 4min and begins to ride. How large must Eric‘s average speed be if he
is to catch Ella before she gets to the end of the trail? T .i} j, 5"; i1» <1) 3' r) . L ( (fl: 'ﬂ» r' gun:
a) 16.6 kmfhr "11 . {"TMan‘ 1; I S éihmt : _———r1 L” _ ._: “A hJ
b) 17.0 kmfhr If“: law/w) { .u.
a)“ 7.3 kmfhr _ f I
d) _l7.6 kmfhr  Li5 “J
. e) I: , M {HIDHf"! ,_ II'AVQHH“. J _I M “Ju._,l 5
F r ’ K
_ ..a ll hm _ \ f”! \‘
big“ sign— _'rii”~",)r—) Physics 140 Fall 2002 Midterm l 5. Which of the following statement(s) about the result of the vector product k x i are true? a) It has unit magnitude, k x i  =1. *0 A A '” ,. b) Itisthesameasixk NU {vb : ‘(kXL) c) It is oriented in the jdirection '4’: a} our c r ',._u x 1 .m i u: < "’Wboth a) and c) ' c) all ofthc above 6. A worm of mass m lies at the bottom ofa bucket that is being whirled in a vertically
oriented circle by a child. The child makes the bucket undergo uniform circular motion
with period T and radius r. What is the value of the normal force acting on the worm when the bucket is at the lowest point in its orbit? 1rd _ :5 .
anﬁlfﬁA
._'l
a) 2mg F
b) m(g4rl:2n‘7’) _} q
c) 41rt3mrﬂ'2 'r’ w; oJ w
d 331(g‘l'4ﬂ2r2i‘7‘2) UJ/ Jyp‘ t n
e) m(g+41t2rf7‘2) a — r . I I N _— x H r J} —— x4
'1— 1” M! L a.
i] ” 1‘7 M
. A . L .—  f; ‘
T ‘1 r r J V
‘a
_ 3 r2!“ ii.” I‘ \ _ p
A {7* MKTL) “LU Physics 140 Fall 2002 Midterm l T. (P) A news station helicopter is attempting to fly directly above the speeding car of a
bank robbery suspect. The car is heading northeast at 100 mit'hr. The wind is out of the
south at 25 mifhr. How fast and with what heading must the helicopter ﬂy through the air in order to keep the speeding car directly below it? I P : ha “‘2
_._‘~. ' A— '— t1 #2
L7r Mnmtrq Suit Wrm "‘1' r9; Wwb
PW __\ J 3"—
[email protected] mifhr, 33 deg north of east 4 U96 = if“? + UIG
) 96.8 mtﬂir, due east U— ; ,
A 0 4 c) 64.2 mifhr, 57 deg north of east P :_’,)d) 114.2 mifhr, 47 deg east of north
e) 119.0 mifhr, 36 deg east of north 5. an, m meU:
' j — r:— )12 (mt “Vic J" _ L" ' 
it)?“  . .03 + r . Iif/ Jpn” : LIFO x = mo :41qu : MM . '10} “7M
, 'f. I‘ o E r
\j : ﬁdl(4 %U?l; HWA."1:UEGI'§ We :Ii?O'7'?£‘>mﬁ“~ I I ' _' 8. A'block of mass M is attached to a massive rope of mass m. A force F is applied to : 4 g. 2}.”7’M
the right, as shown. Assuming that the rope is uniform, what is the value of the tension at ' ' the midpoint of the rope? F l
(gamut, /2 on bare +M s7 (Wain) \NEA’WrL M if ,_J
T Hm ‘5 N 3)F P I3) FMI(M+m)  FED 0» Stem “Lame
#c HM+m)f(M+0.5m) I ._'>
(ﬂi)HM+o.5m)r{M+m) ' H F: e) F(M+0.5m)f Mm MEL: chjimbL .3 [jg/m5 Lew—é) FT ll at“: Lejjmjrv's Physics 140 Fall 2002 Midterm l 9. Two blocks joined by a massless string are initially at rest on a plane inclined at an angle
B=42 degrees above the horizontal. The coefﬁcient of kinetic friction between block 1 and the surface is uk‘1=0.32 while that of block 2 is “2:0,! 6. Both blocks have equal
mass m.= m2=0.5kg. What is the velocity of the blocks 1.55 after being released? Far) :M. " Ff?!) ' ML
JA f___._
_A L)?
M
‘Fk'Q—i\——b 1”“ 5:;
lg \E.
M r m I Mum
h . '  ' MI’Mljw19:¢ ll Mlﬁ’llijWlg"?
ihrﬁuj M.=M.jcu19i M1=ijm
__‘ :—  C {9 ___,_
2,... gym“ I x: wafﬂe, mljnﬂt{m
b; m w . w
c . s ,l w 'I
d) 10.511115 AM a?)
e) 11.7rm’s
(Miimilﬁ "midi r/Mm Mijwlppﬂklﬁtjwa :(M'+M3)0‘~
grim—5,. z) mm : www— /i\3(ﬂu+/4k13ag;§
a 1 ﬁgure —{/&’h Jﬂk1)wsg—{ : 10. The position of a 0.03kg particle in a certain experiment is described in unitvector U’ ; a t notation by x(t) = (96!+4t2)i + (9+3tTf2)j. What is the magnitude of the net force acting I 24/3 on the particle at t‘ =3.Ss? ’ ’XJ
"\_ X lIJ a) 0.23N 0.36N ‘ 0.48N :
d) 0.56N e) 0.69N _\ l Physics 140 Fall 2002 Midterm l l l. (P) The graph below shows the one—dimensional motion of a particle over time. Which
of the following statements isr‘are correct? :3 arm/{C
E ﬂrfi—HH‘l’hll
3
LI
3
n.
a) The speed at 265 is'tlpﬂZero. F
b) The acceleration at 585 is negative. ’7'.—
‘P 5).. Motion from [I to [05 is at constant velocity. d} oth b) and c)
' all ofa), b) and c)
12. (P) Bianca and Brian are on frictionless ice separated by a distance of [0m with a rope
between them. Brian’s mass is 85kg while that of Bianca is 60kg. lf Bianca pulls on J
Brian with a constant 60N force, how much time will elapse before the pair meet? 1;— Fit
, F . _wn. 6
[2901.” B 5 I ﬁt L EQfo oi: Lmr: BI . ’ 81
W m bf). m ( _. [JE a/Wu'} 21“ W 2/4. u"? f' : _ﬂ, I '__
dpsns __, li“l _r
b; it: so} mlq‘ . r Mia; yam)
c . s ' . 5.33 a __ F f l: E‘ .UJJ FJJ J/O4A
H" e} 615 ' ’ r "51, A L 3'":— Cuu_r.'/‘H’ r” “1‘ t' f‘ ‘ ‘J
I X}... Hiram}: II 4 '
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Ext +Zﬂlt L6 Pr
. s... \I _—_ _./I (I. , Physics 140 Fall 2002 Midterm l 13. A steel ball ofmass m is suspended from a pair of strings as shown in the ﬁgure below.
What is the tension T2 in the horizontal string? T1 T! \t :3
l O "—J“) i '3
9 l
I T2 :z i
f m t r» :
l ,1 I j[ 4
n4
__ f 7:— at .tr‘t  ‘ ’ 't ' “"’
..__\ —“ ,_.J ,__.' f
a) mg sinB T __:.._ 4 T a J Ir 1 T
b) mgr‘cosﬂ _§ ‘ l L i
c) mg cosB J w‘ ' 7*   7
d mgftanﬂ ,T F‘ ; P M, . z —_—,=—
I e) mg lane 1 J. \ .rr: I
‘3
Ti ': M a TA of 14. (P) In the ﬁgure below. mass m A slides on a horizontal, frictionless table while the
coefﬁcient of static friction between blocks A and C is [.15 = 0.6. The system is released
from rest and blocks C and A are observed togcﬂeleiate__tog_e_th§r_t9_ the Which
statoment(s) about the motion of this system is{are) true? II 
("WI \r lt'."“er 0'19
’ ; I f. I (L Fl'irtiutlle». #3,
:1“. M S '3 U" Ill:L'i§lCS$l)tlllC)' 'I ,T 1"
‘ erx r?“ r‘ = V .,
{Hod/L 1'1 dﬁt A. __‘.. ﬂ O’JC 0—>)'r5 A Méaﬁéo has
:6 Tl ./ o J Mu) J"
_'b 1451,:
T“ V133 :Mﬁ'ﬂ 4‘95 “Tax (/59. 3‘0 Uh/ {JANA uni/4’ ifs“0 ’4'!“
in; a) Block A feels a static friction force from block C Y“ I l 2 = w i
b) Block Bis more massive than blocks A and C a] Tom 244,3 LJJ 1/4 “l ‘ " " ‘I 3'? c) The tension in the rope is less than mag?! my, [MA ‘. mt :Wrrc NJ; E L?
d) all ofthe above '5 i . . . . .. .a
f .11 f” “Jew"Ii ‘ ' I @both a) and c) Physics [40 Fall 2002 Midterm l 15. You are sitting in seat 10E ofa DClO that is ready to accelerate down a 3.0km runway.
Above seat 10D to your left hangs a lkg ball of steel on a string of length 0.7m while
above 10F to your right hangs an 0.5kg ball of wood on a string of length 0.5m. Both are
Suspended from the airplane’s ceiling. Both balls have enough space to swing freely
away from the vertical. As the airplane accelerates uniformly down the runway, you
observe that the two balls make angles 8D and BF with respect to the vertical. In this situation, which ofthe following statements is false? _,_ {at a .9
in .1 5’ L /q
\l \J
The angles 89 and 6p are equal. ' winf? P Fﬁoﬁy'u" :1“—
Anglc 8D is larger than angle 6F. A _ i}: 1 Ma mm L; c) The angles 80 and BF are directed opposite the direction of the plane’s acceleration.
d) The angles 89 and 8.: increase for larger values ofthe plane‘s acceleration.
e) The halls are accelerated down the runway by the tensions in their respective strings. 16. Two stacked wooden blocks with coefﬁcient of static friction us are pushed across a
frictionless surface by a force F applied to the lower block. What is the largest force that
can be applied so that the two blocks will slide together without slipping? /[‘ I" J
F
l) QVST‘mr (Bronx; l + 2 “if ‘3;
3) {m1+m2)g/u5 . MAMEI“,
h) Usmlg LJ yea/Zeros»! . P ..,
""c\ s +
%:5;m%m2)g F : (M'*M1\a 2» a: /(_M"m?§
s + 2 w
e) “(mi m) 1>£HJJCA [All 30.4 2
AK}; [Mind1’
FED L a #5 i  I  x/JJt.
g ljlmﬂx
F; :_,Z/." M 6‘
Mg MEJ 5‘ TJ
 L' ’E f —t"“a,.l:  M a
_ :B N: ‘
I‘m].L M13 SIS J E III/[AZ S
xggm grwJJ; : of I ’1/
CD MAX AN“. 8 M‘Mtj >13 _/tmc Physics 140 Fall 2002 Midterm l 1?. (P) A truck with initial speed 50 kmth decelerates in a straight line at a constant rate of
2.5111152. How far does the truck travel before coming to a complete stop? lb owned {H ﬂunk“VIM Wft'LéRﬁwde iﬁ:>a) 320m
1}) 7m 1 __ . 3'
102m 01  “re ' lax
(1 38.6m .—_ J L ,
e) X f U; III ‘ I; In” II. __r_2 ifU album)" ILM J
X ._ )0 2a ': 1
a " 2 f M/s?) 18. (P) You push down on a book with force Fdirected at a 25 degree angle below horizontal
as shown below. The interface of the book and underlying surface has friction, and the
book is static. With the book remaining stationary, you increase your push F. Which of
the following islare true? Hit
:‘F'v
% ii at in C + \ a) The normal force increases. l;
b) The maximum static friction force fsmm increases. 5
The static friction force fs increases. c)
p :>d both a) and b) 4‘,
6.3) all of a), b) and c) Jrr 1 Physics 140 Fall 2002 Midterm l 19. If a satellite moves above the Earth's atmosphere in a circular orbit at constant speed, then ‘ ‘ '  » I ' r ﬁr
, a Its acceleration and veloc1ty are in the same d1rect1on. 3&— E PM é 1)) )ts acceleration is drreeted toward the Earth. 1: KM o a o c) its velocity is constant.
(1) the net force on it is zero.
e) none of the above. 20. (P) You are participating in an egg toss, a game where eggs are frivolously tossed back
and forth between one team member and the other, with the aim of maximizing horizontal team displacement while minimizing the amount of egg you get on your pants
Consider the trajectories for eggs of two teams, W and Z, separated by the different
distances shown below. Which team‘s egg spends a longer time in the air? W gm! _ " ) Z c) both spend the same amount oftime
(I) need more information . e) I‘ve got egg on my face! ...
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 Physics

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