Physics_8A_-_Fall_2002_-_Falcone_-_Midterm_2

# Physics_8A_-_Fall_2002_-_Falcone_-_Midterm_2 - Physics 8A...

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Unformatted text preview: Physics 8A Section 2 Midterm # 2 _. _ ._ Your name November 7, 2002 2:5 (Enamel) rs. .12 Discussion session number f 681 name 1} DON’T OPEN THIS EXAM UNTIL. INSTRUCTED TO BEGIN 2) Sit one seat away from anyone else. 3) Do all your work on the page (frondback) indicated for each problem. 4) Show all work; don‘t just write an answer without showing your reasoning. 5} This is a closed book exam but calculators are allowed. 6) To simplify the math, take the acceleration due to gravity as g = 10 M52. 7) Possibly useful equations include: F=dpfdt=ma I=Icmn+rrlh2 p=my K=1f21o32 Fczrnyltr FIA=EELIL it=itﬂ+yut+ll"2at2 F=Glyitmfr2 W=Fn F=-dUIdX U=mgh G=7xlﬂ'“Nm2tkg2 K: “2m v2 ymﬁrzomcrag'ﬂ rzio: Mﬁm=ﬁxlﬂiikg [=1'1'I.t'2 Rmh=6x106m 1::er =dedt ‘~' ylA1=y2A2 Lzlm p+1t29yi+pgy=constant 1.!sz ] atmosphere 2 [WM a=0tr [)(H20)21g!cc SCORING—we‘ll handle this space :) 1] 3’0 329? 3) 4) 5) 1) A mass :111 = 10 kg hangs at a distance h a 3 n1 shes-e the ﬂoor frcm a massless rope that is wrapped arcunti a fricticnless pulley. The pulley‘s mass rni = 2t] kg is concentrated at its rim, which has a radius R = 2 III. What is the time that it takes fur [11 r when it is r I as What is the kinetic ener mass m] when it hits the ﬂour? c What is the rotatic f he ulle when the mass hits the floor? W“- MW ‘3’ V 'JW‘I : w an} . . _:.— 1. t 1.5, If If ' . - / MW” 3 "-3-:{4 j- - __-. '2 g _1— ____,_——~ '2 13 a: :irr‘li cl 1 Ilﬂlq I'. In) ﬂighﬁz": _|_ .2 [IIIUJH ‘2‘: L A“? 1‘” j m‘qgu: ass a a: '1" . .p v:- V1.5 w: 1|_‘r:5-W'|5 “at Watt was? a} - 3m .:. [IA-d! ,w._i_-ﬁ _ .;:E.1 Pita. J j; '— .. +-q'tii_4.dfrﬂf _ g) 1—D ’c was. a; W I Mr- ='i2rn.‘d -=1iaL5‘3"'L*-‘*§}L n._._._______._—-I- 2] A mass m = 4 kg slides. without friction on a table. in a direction along the y-axis and with a speed it = 2 mfs. It collides with a stationary mass m = 4 kg. Y mg sees after the eﬂllision? ” “Wart '5 tweet”? WWW” W” b] If the two manage collide eleetioallv, and the mass :112 moves along the x-exis, who; i5 the resulting epeeel and direogion of mass mlaﬂer the collision? _- r-‘ITgp'ﬁeE" in, . y {j 9:: WILW'+H"I'JV2_' {mag-fa?) HE ALE; '*- -"-' 1‘- 21 .f.,..J;‘-,++Lu=e} it: -‘- etwt wﬁ'? w l “at: ewe? Iﬂ/W-Ilqlg- h ﬁﬂrgdf .jlrgl'wrrméx “Eiyz/Jd-u. { Frillﬁmla) _ 4" 1 1r Z {31”- 9i o 'J" 2.1 5 V'.\$LF‘I"'J2-‘r 4. e u.th vat-a Mai—{Hm} "J. 4‘: m: * Lew-ﬂ; [2"Vo‘JL1—mH-r +--1me--3u-‘ * 4-: ﬂ/F'I Mai/*4»; “FM-E1 ivwati—«im; u: 2\J|¥ —2) ‘J-JEH-I'JTﬁa'a- of 2% IIWJI’T 5 Dml. '41-} r- 2— WI? M71} '4 o in; with? L ‘11.; : '2 n”; E 3) A selid beam with mass m1 = 20 kg and length L = 3 m is held at two pnints PI and P1 At P1 the beam is held from below at a distance d = 1 m from the left edge of the beam. At 15"2 the beam is held from abet-re at a distance of d = 1 tn from the right edge ef the beam. A mass tn2 = 5 kg sits en the left edge of the beam. .e . 1”“ JP; H rr. .. - r a __ m" P. T 1100“ A _ 1. "*1... Eu 2‘- -' 5'” '72.I‘riJ,-"'":3 n' . _ if" .._ =, t; f / a J, l‘J L tit *- 1" z 1', sew ‘ ‘ inn hi Ini ” fit for. 'tsPlandPl? Tagger lab) _,_.—t Md: gem} settl- 1:200) Ha) — '-’: [t J I: -.‘J - IT I as: \$014 call-wee aired—1h“ “(—4 ENE i“ “F “ranks”: 1 e1: 2mm tuc- 4) Earth is under attack from an alien civilization that shoots an asteroid at us from the edge of the universe. The asteroid has a mass in = = 10 kWS. (hint: consider the rotational energy of the Earth, remembering that the moment of inertia of a solid sphere I 2 2E InR2 ) ran: MOD" Er '3} Ir TI 1 “Ni . __, mowﬁ .: ||_] tJ‘JUhI'E'i- ' x I: inn I ‘ mi; lineuii‘di'i‘tm - 4 We Est-'11 an I“ a 1-2:" I_. Gillan “ML: 0 ms I ’- IWT'I'T‘: 1H5 TIP-ti" _-Iq _ 1“: I 1' aft-H5 . - . 2L t_Lx-.-.}““,I{sr-,n‘-j _ I : '9; b stud-’51? a. v.- I _ a; - . Jamil x_. 4&3,le _-_- -l.#l-w_,|2;l..' .. _J litril_.‘}®t%) FWI-prL-T‘ﬁ'l E ﬂ1?'-_'n :. T- |.:_|< -.>--,r. d J: Huh” I_ l: than-"1 II. _ v- . J: L a I. r I I -: If2[E.MFIUp)L1CIJ.-HU'H} . ,1: iii.” .. If: UJTI.I{\L}WI.J1.JIMIIJ0)L' I : .r. :2,» r M :." 3ND“ I La.- _,s _‘___._,_,_.a--r _- HM {inn} ' . s 22% “q 1" 'H Elihu-[4 -l- 0w \$11.“!qu .gwifi __..4 5m.) uJ- .. o. _ I __ 3 .... ﬁlI «sureﬁre * HEW m. 5 Lrli'iﬂ'd— I'd! radii.- 1I... osu'd {His-9E} 1w? nutmeg-n W”: __ _ WWW-l " -: r a" ..' N-v- E-mLT'hE D'ﬁlifdwﬂllu E-ﬂﬂgj “I” 5mg T’I'aﬂd r'lw "L Inpﬂﬂ Pitt" WITH “16 dﬁiEPﬂ'C/r '5‘? WP“! 5'51” r fhfﬁﬁry’ 5) Water is contained in a large diameter tank. which is sealed and held at a pressure P = 2 atmospheres. The top of the water in the tank is at a height h] = 10 m above the ground. The water ﬂows through a hole in the bottom of the tank and through a frictionless pipe. out through a horizontal opening with an area A 2 0.1 m1, at a height 111 = 5 m above the ground, and open to the air. [be water hits the ground? (you can use helpful approximations) Pf— la-rrt- “F .z'*".}"-F'o.: _ Pin-W- I|"1-t.'-" m'm J lg: loo-jg: h- 'r.tT-.-*-:.~cn "j _ I: J {Wu-a -' P-t‘de We turn. Horm- ,. _ NW")? qt . J- / u? l:- W; a :. -I. 'J 1;: +'.. .- 1 ti . an ‘x/Ft‘f-V I? Wer ' -. . 2 . Vtv'iné1+ _-.' 4-:JQHJE, are-la“? 4F . J” J J x/ J ._ . - , m. = lx'IJE-‘l- l'lh'ijhﬂ)i"ﬂ‘l 5 l1l”'**"l1L”-”lﬁj'r<urgl+ L“? "~ 3mg games a Ha.aoi-r~t;tass)ut”' Monti.) '—' 'Iziﬂeﬂ u r?” J v15? .- 121 r; h-+I-%?J\rlﬁlll :2. . ...
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## Physics_8A_-_Fall_2002_-_Falcone_-_Midterm_2 - Physics 8A...

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