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Unformatted text preview: PH 131 FALL 2005 HOMEWORK # 9 Assigned: 10/24/05 _'_________,_.,_.__.__ hﬁﬁﬁng in Fig. 335 is — 120 cm long. has a ball at
tached to one and, and is ﬁxed at
inmlwrmmdistmdto
the ﬁxed peg at point P is 75.0
cm. When the initially stationaxy
hall is released with the string
horizontal I5 shown. it will swing
along the dashed arc. What is its
speed when it rushes (a) it: IOW
cst point and 0:) its highest point _
after the ~ ' : r 04855! A 2.00 kg black is placed against a spring on a frictionless . a Hubam a  ~ ~
u_0° incline (Fig. 333). (The block is not attached to the spring.) x'  1 P 5'4”“ hf 3' a
The spring, whose spring constant is 19.6 Nieln. is mprmsed _
20.0 cm and men released. (a) was: is me elastic polenllal energy. '
of the compressed spring? (b) What is the change in the gravita 
150ml palmlinl energy of the block—Earth system as the' block
"Java from the tem— '
in; highul point on the incline? _
(c) How far along the incline is ‘7 '
lhchighestpomtfmmﬂmmlease
point? an a sPr" Campfem in»
13951 ‘ Xi; ’flu/n rglmSasl +0 r'equrrn ‘er 7? . h: = mama helrzswc elf; m, he e hm! macaw #M
Gﬁ‘mw' 6=5°°2 M: 2'0 k3: CmWsSiau : 20m=1xfxﬂ
R = SP'ﬁ'Ma Can$+adlb = I‘l 6 Wom Flmel: a) Us? 940“” (3) mm! Us” PF WA WM — lea—xe— «j
' E] AUBlacx 0"") ‘ ”a ( Int—hi) ——U) Now , M—lm‘ *4“!
From U) mak (a), AUBlaaK 0—9?) '‘ 4M3 (Kga—XO$FM9 =: _.‘ =$Im9 —a lag. lac :(Ql‘mﬂ) (mg—xi “(2) gl' : U6P(i)4 Ualm (i) = 1; C‘sx314'ma)‘:
: E‘ 3' Uﬁlack({') +%(°§) 1‘ “ain‘ jg (1,431+m81m' = mg 'M I? CH8— 1,; @Amerpushedaﬂkéblock92m glhﬁgalevFlﬂooral Given“ 9 :52.» J MK: 0.2..
commm speed with nforce directed 32" below the hormonal. If a! a q .2 on
mccocfﬁcicnlofkincﬂc friction between blockandﬂoorwas020, ’2? #
whal watch) the wmkdoncbytl‘ne worker'sfomemd(b)ﬂn W %‘
increase in thermal mrgyomeblock—noorsystun? FEM: a) N (warm) L)N(Eﬂ)
. ___..._._.___________.—_:r“ ‘1. N . “144
F“; F 63509
I
N ’Fé‘ma +4“? —__._{1)
Fvom u) Md. (2‘):
F = JAIN 1. AA psim9+m
c059 655,5 C ‘6)
mug = __  . 3 x 0:59 ILSM
Case F G 2%; 6058
:' T‘ = M =_. ... =:nﬁ __ “raw
Coﬁe (cow—meme) _7 :. gl)(a2?Cc552‘ q, n Fig. 347. a 2.5 kg block
5 16:8 head out into a spring with
:1 spring constant of 320 Mm.
When the block stops. it has mm.    .
pressed the spring by Li cm. 11.: .
coefﬁcient of kinetic friction bc " " " " '
tween the block and the horizon ﬁg. “I Problem 57
. tal_surfacc is 0.25. White the block is in contact with the spring and being brought to test. what
are (a) the work done by the Spring tome and (b) the increase in
thermal energy of the block—ﬂoor system? (c) What is the block’s
speed just as the block reaches the th 'n '! I__u_ _ * e k
Im‘tHaﬂ. 4— r thol : _—n—~—Iﬂ 0) N5: Heck I)? 536
in) N]. : Work La {victim E! (”)5 3 "Kg: 2': “é~ (320 N/m)(()O'}50u)l =I— 0'9051 b NJ": AEMG = "”ka z—éJKNJX
“Q‘xmgk = *(0'153(25>(9'c‘3(°'°”) C’ “041’" AK; K4 kl' 3“
AU "' U} —U{ = E = ToJmt merﬁ§ 2K
.— :0 A5 = AKl—AU: w
Far WamservMt‘ve (Paras, AE ‘—) AE’hnc, ="gkx =‘ +U (Gomﬁe—Wa‘HVQ Part9) =7AK= —AU [km/Mr“; Alt—N :. KPH “4— N4 2. 9
Q’L‘Lz 1363"
9.. Lib—— __ . _ __ . _._ __~_ _._____\__
6, A particle can slide along a hack with elevated ends and a ﬂat
central pan, as shown in Fig. 850. The ﬂat pan has length L The 3» .__.__
curved ponions of [he truckarc W“— "“7
fricliunlnss. but for lhe ﬂat pan the coefﬁcient of kinetic friction isH'ﬂm.Thcpmliclcism .1 leasedfmmmumpointA.which ' “'___' 3 I1 is a heighl I: = LI). above the ﬂat “‘ —r in \ L
panofthclrack. thrcdoulhc a //"K ‘ ‘30 X4 ’5',
punide ﬁnally stop? ' .' 23::
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center of mass of the threepani
cle syslem shOWn in Fig. 922?
(c) What happens lo the Demo!
of mass as lhc mass of the [op
mos! particle is gradually in
creased? m . 5in and negligible thickness. The box tl'm has been answered from metal plate of uniform den— .. M :r. M0155 94' M box is open at the top and has
edge laugh 40cm. Find (a) thcx
Coordinate. (b) the y coordinate.
“1(0)": 2 ooordinale on!»
mof mass of Ihe box. Fm ' 9;? M Had—Q» *
. was ‘0:‘\0 
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point is the center of mass of
daemostonesau=300m13 .
(Neither stone has yet readnod ‘
drsm'vmumnowruis
the cemen of mass of the two
sttme sysm moving at than '
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 Fall '08
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 Physics

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