Physics_7A_-_Fall_2005_-_Boggs_-_Midterm_1_Solutions

Physics_7A_-_Fall_2005_-_Boggs_-_Midterm_1_Solutions - PM?...

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Unformatted text preview: PM? 33-1968 MibTERM 1. “FALL 2008' ?QOBLEM J)— 0) (I ; - _ .1 7 2) VW‘A‘X _ 70 + "‘ % LY(")‘\ID+vo>/t “£31: 1 W\v\m —_ max I 2 Y7 7"? VY(1) O -IV01"5(;E3 [v.fiflzvoyfis‘tl Voy= j m% 32(3) gym“ 7mm 170+£1 - £1: 2. Lt s‘g 7" + 5% jmma = an’vwa : Uh“ 1» 115%.“ 53 Vth 1 \Bequfm {\j'flums‘ EM ‘3) “gm” 9”} Q My: 53>; -_ .. Mg m my: 19. 9% m x or} 7' 5(o 57 Vuxk i- %U\K{ZL 05x10 K5510 XCTB;3S-m ,— -— — 35. - 39‘“ 4 Vox = "" xgyxss 'Vox—T Vex- .1... — , WHY: /‘3 @ 5mm WQFM {\s armgmhj. axia7:0_ 2 PW Xaflfmdm. WSW-fl = MN 1 PW firedfm. T9549 +Nv~m3 =3 M61710 2 M ffi: 3- .c {- .__ ‘ 5 I”; 32’ I (09(5) 17% sang 2 (L) Maw mlfiélxj QM A615” {0 T: mus-3r-i9 :_ “47-4? [039 4- 011399;,‘(9 ("use 41MB 9M9 mm {09 We (9: 2} 30: 1 . (0919 +oué<~9a9 = “03?- 'W\I\n: i 3. (20 points) A block of mass in; is attached to a cord of mass m1 and length L, which is fixed at one end. (Note, not a massless cord!) The block moves in a horizontal circle on a frictionless table. If the period of the circular motion is P, find the tension in the cord as a functions of radial position along the cord, 0 s r s L. (Hint: in setting up your integral — yes there is an integral — consider carefully what is the boundary condition which determines one of the limits on this integration.) “Fl/vim Pei/1341!); we can (aficulwle 'f'im angular Vdfifififl) l“ =31L ml new; aimlle QMH=W=EF§2 7E2 agave mat/r93 m% (anew may amine“ v~ (“an 5M M5 a Mi" MW Medan/i9”, -- _.. 0W. L,_“1njlr_ Ame iflfim 4T“ r ‘" H. '(fl'r’u My“ 1; 59* ‘k‘9 i'fimn a)? molrm; A!) We. meal +9 %+‘e€jb4\}"e w OJOOL/z (mm +0 V) 1w r- L “welt: 4:” ralr P‘L— ' L.- T69 N l» o 72' T0,) l»); 4%; 152m tank 5 +1) sufiojm M Y..— Melbdb U; “J [0M be a! r (' (MW ’h‘m {Tm . OHM . {If ML ‘5‘ (m :*__f'_.U:I (mg-1 4% c: L?“ LL. [ ‘ PL 0 Va:fl( QhL‘FJ—M) M , ,__:L P’L L 4. (20 points) A curve of radius 38 m is banked so that a 950-kg car traveling at 45 km/h can round it even if the road is so icy that the coefficient of static friction is approximately zero. (a) What is the banking angle of the road? (b) Find the range of speeds at which the car can travel around the curve without skidding if the coefficient of static fiiction'hetween the road and the tires is 0.30. T; 'Aal/L amt/Jar WO'HDI’) 1 we need 0. ne'E: {Una (an-g4 (en—lfipefil (far—(e “Ward ( M 'HM PWM 441% dW’ecfibh TE Meawh‘tm Cl OitV-ed'TDV‘ z? 9: {ma __: 4ath ('UWmJL ) scfim- (9.8“ym9 For Mathuw szyocfij cm B orpoja'e M Whhuw (M2) qr— ‘wé Tficmafe v-r’m vefec , 49% car {3’ PNMJ 613 {he df‘rgcmh 0f“ 5% (6574131?! TS dflmfiwad. A1;— 4k: mm Vetegb me, 41m haw mam) Soybnh, Wk; Mxmum calm Efi—MN. 3‘ NwSQ-WgP/MNSMaz—Q '9 M:- mg mfi'vdfikg ‘ V J“ _LLL_'_L‘ “ w =NSIWG+MAJ00$9 = "m 5”} “we R 58551 ‘715 M? :r ngfi-dwfifi __ 97 MW war/(M- ray/TX“: 53~09L%. Er-Fbm ’h‘hnhwm Vdea—fi (0049/ mm [mm +er M1 "M oPPeffl-c Apnea-Han ' “MT? '8 éwa'i‘O M'w‘F/U. PROBLEM 5 a. PM) «(a 5. “ND (1M6 , Tm? camps”:— Mag-L5er; c. Fm’o at“), m: TPINOENTML Aztamnma/ F —---3 a 6D 2F: may .7) 1<___ ' h _ 51' l\ = ma. <“D _, LY C J/{K y: €u;mflf_~ wan: (wt =/“w N C/Mfimflc z COWBWWG CD Am: (2) flumfl( : mat WHERE ac : it so /uu<‘.{ = a: 10‘ K ALSO at: ‘33 2) u it: ‘ELV ' or; K db: JV (It f R 6:: 4g— ‘1 1-.) Ev : VOR R- wt 2'- B- at“): —L A (:2- va/ukt)‘ l C' 64th): 13...! 2: w; (5‘5 (R~ Kyumtf ...
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Physics_7A_-_Fall_2005_-_Boggs_-_Midterm_1_Solutions - PM?...

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