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hw9 - PH 131 FALL 2005 HOMEWORK 9 Assigned hfififing in...

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Unformatted text preview: PH 131 FALL 2005 HOMEWORK # 9 Assigned: 10/24/05 _'_________,_.,_.__._-_- hfififing in Fig. 3-35 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 04-855! A 2.00 kg black is placed against a spring on a frictionless . a Hub-am a - ~ ~ u_0° incline (Fig. 3-33). (The block is not attached to the spring.) x' - 1 P 5'4”“ hf- 3' a The spring, whose spring constant is 19.6 Niel-n. 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 sP-r" Camp-fem 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'M-a 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‘s-x314'ma)‘: : E‘ 3' Ufilack({') +%(°§) 1‘ “ain‘- jg (1,431+m81m' = mg 'M- I? CH8— 1,; @Amerpushedaflkéblock-92m glhfi-galevFlflooral 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)(a-2?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‘t-Hafl. 4—- -r thol : _—n—~—Ifl 0-) N5: Heck I)? 53-6 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(2-5>(9'c‘3(°'°”) C’ “041’" AK; K4 -kl' 3“ AU -"-' U} —U{ =- E = ToJm-t merfi§ 2K .— :0 A5 = AK-l—AU: w Far WamservM-t‘v-e (Paras, AE ‘—) AE’hnc, ="gkx =‘ +U (Gomfi-e—Wa-‘HVQ- Part9) =-7AK= —AU [km/Mr“; Alt—N :. KPH “4— N4 2. 9- Q’L‘Lz- 1-363" 9.. Lib—— __ . _ __ . _._ __~_ _._____\-__ 6, A particle can slide along a hack with elevated ends and a flat central pan, as shown in Fig. 8-50. 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.Thcpm-liclcism- .1 leasedfmmmumpointA.whic-h ' “'___' 3 I1 is a heighl I: = LI). above the flat “‘ —r in \ L panofthclrack. thrcdoulhc a //"K ‘ ‘30 X4 ’5', punide finally stop? ' .' 23:: =u= £53 388 1-“ P"? V“ Ina-a— a'u-‘u'u “NH 9 OH’-1 What are (a) the x com-dim and (b) the y coordinate of the center of mass of the three-pani- cle syslem shOWn in Fig. 9-22? (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 --- M5 .2; =3 - -' "' " " 4/2. 1 V; a 442 IX: .2 Y:(o)+&;(fl)+f§ 00-qu CM)+£§(M1+Z6 (H) I ng‘ :: M/ 2/1+£‘* ‘(1/‘3-"Lfi’"D {£25 an}; M 5—. ’- 2 in?“ : {/2 b ”1 (6 3m:- ZECTO') 4-)3’ELC") + 50042-104fi2r60fldu) 3M ' ‘2 )4 (ML/1+”1-‘l2/1) 2 £1 ; it; '10 ‘5')! S" '2. ' .2: ___, a,“ g 1 9» ,_ 1 1,1 4,2 _ . U Ian": 2‘0?! + 2;”; N 247%, (MPZH CM Ha (MIA—2g (H) so must; 22442 100 sums 22-!“ m MIT! 22.141 @ 89139 (a) How far below the release point is the center of mass of daemostonesau=300m13 . (Neither stone has yet read-nod ‘ drsm'vmumnowruis- the cemen- of mass of the two- sttme sysm moving at than ' lime? in» I _ .. . haemflammmmun HRIA- " mufflufimisdtoppedfm thempoimnr-lmma. . _ 60mg M35!) '70 “DEQCR-IBE __ Jh'ifi'r: ' - 23' :r g- T1 + €110}, 'ZTBJ‘J' ”' "h 0 [7 '7'_“'I~J>__ mzérézboFWfi’CngFn-q Wm v“- w 1+sz Mafia adv-+3? 1 “'11:"- [email protected] = 3E31T-2.El=m -a; ...
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