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PHYS121FinalExam

PHYS121FinalExam - PHYS 121{51°11 FINAL EXAM NAME(print...

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Unformatted text preview: PHYS 121 {51°11} FINAL EXAM NAME (print clearly): lflfl pts maximum You can bring a 3x5 inch index card. Univ non-programmable and non-graphing calculator is allowed. - Write-legible and present your solutions in an organized and coherent form. Use pencil, You muat shovv all work, notlust the answers. Acorrect'ansvver alone will receive zero point. (11. A projectile' Is fired with an initial speed of 3D mfs a an angle:j of 6,0" abo 7E6 the horizontal ignore theairresistance- LLFUWI" _ lagdw)_{u56p :- rgms £1.39” )gi'hé o :95 iii/5 a} Draw a graph of v3, the horizontal speed, as a function of time, and provide appropriate numerical scales on both axes. [Slots] b} Draw a graph of up, the vertical speed, as a function of time, and provide appropriate numerical scales on both axes- {3 pts] l/s ‘5 “Mp4; c} How long does it take for the projeotile to reach its highest point? {3 pts) 31:6 Mil! kiwi” Mt- “ff“ 1/ 0-,Qfim/5) 91% Lip {from ==>Jt =W=MS cl} what is the prolectile 5 maximum height above the ground? [3 pts} 1 l virWQIH-eas 5 LCM" z WM) - 34$ o] How far from its launching point does the projectile land? [3 pts] M=Lfifit ir‘tiu Kustshowofl work, notjust the answers. A correct answer oion'e wfi'i' receive zero point. (12. Voufgiidewstraight down a snow-covered slope indined at 30" to the horizontet. Assume your skis are wood, and the snow is dnr. The-coeffifientof static friction of wood on snow is pr, 2 fill the coefficient of kinetic friction of Wood on snow is pt 1:10.350. What is your final Speed at the bottom the- ltifl-m long slope? 3} Use Newton's laws to determine the final speed. {3 pts} ”Mk 1+th WK! 3% er 591%.,me 151)“? :?H=Ifiro5‘ ti $11,; 2 ma: EH. :413‘5W9 'ViKN . 11$ ”We = ~fieh~l§ “View MOE a! = 13 M +£45er =1-{fi3)rm{3r')+ mommy K e ._ 4-. 3? “’5‘ ”it" “fl: Uni-r Q"; ‘45 E‘X %:arfi- its lace—W “'r 1f-4‘Sfm/5‘J (“Mg”) :‘Qfl/rfl/j h] Use Work and Energy to determine the final speed. [3' pts] | task-LUKE I Kr~Ki=Wfi+MHWfK K i é—yfllfl = 655111354? 4/:N‘mi3” {’95 ”$5 = fiat-56‘s “if/4:16.553» 1’5) Frail-body diagram I? uf 2 We: view”) = 27.6 M/5 “it‘ll- You must show-oil work notjust'the answers. A correct answer alone will receive zero polo t. [13 A clay ball of mass M and speed up traveling in the horizontal direction strikes a tiloclt of mass. 3M that s suspended from a thin rod with mass Mfe. and length L. The moment of inertia ofa thin rod of mass m and length a" Is md’fa‘ about a perpendicular axis through one of Its and. 3] Determine the speed of the Elenir ball right after the collision, in terms of any or all of the following: Va, M, l. fundamental mathematical and ohysiCal tonstants. (It) pts} — F MUEL ML’EL _. 31"}; =I=fs+f I 6016 If pm. 17L 1:} ls the kinetic energy consumed during the collision? If so. why? ifnot, whatp'ercentage of the ltinetll:ems-railr is lost? {5 pts} "l elm elem, Kg :3. ml tm-fi’TWLVb You muflshow all work, outlast the answers. A correct answer alone will receive zero point. 0.4. Atwood machine consists of two blocks of masses m1 and m; tied together with a masstess string that passes over a fixed and frictionless pulley, the pulley has mass Hip and radius R. .m; = 2M; ms: M, and Hip = KM. The moment of inertia of the pulley is mpR’y’Z about a perpendicular antis through the ca nter. al Find the magnitude of acceleration of mi. Represent your answers in the simplest possible form' In terms of any or all of the following: M, R and any universal physical or mathematical constants (13 pts} W m. ww'hj TB}? ’4’” fl .J “-3 Eifid :. 'Lfflll TI _ T1 J I —*T2 1 s (es-2M) w M - b] If you replace the pulley with a cylindrical shell flh has the same mass and radius, will the ma;u:::2::c;;r::;f:;in:;;.r&:Jthjjxmifhy? zépftslfmfi [lag/g Mfié) themeWme Lay-Mfyma MW e ratios, mile areal} affirm?” lad/1w 1:)”: «1 16 Pa of E You musrshow all work, not just the answers. A correct answer alone Mll reoehre zero point. [15. Suppose you want to place a loco-kg weather satellite into a circular orbit 3GB km above the earth’s surface. Ram=63lxlofi n1, mam=533xiuu kg. a] Wh t'p ed stithayeHS t] 3,? 5 lat glib fl' rl'l I _ H” g 0,?me ; elegy-4:?!” ) : a}; X/aBfl ii“ a] What must be the satellite’s period? E press your results both In terms ofsecond and hour. [3 ptsl . ii Te 313; -_~ %‘ 25.42m351l15/45k5 | 3| | ”r ”a W? L E . b) What'ls the satellite 1;. aoceleration [radial] due to earth's gravity? is the answer close to 9.3 this”? Does that make sense to you? (3 pts} | elf may a; . a. fit; as. eff-”5,3- _-_-_ M g 3,?72’%Ldfpofljl Cl How rnuch energy I needed-to place this satellite In orbit? {B p ,1 flatly/lid 5 lira/firm W ZfiW Ell/WW! . > . - WW}? I 1‘ KW) ' 4” u 5an: * if?” : fl Wilma? )) :FJ‘Wy’IU j . . 4’ I” w ,r EM :2“st - Esq/W! ffifii’l’X/fi’"): Maggy/pl") :3‘J7YXXUNJ $9 d} How much additional en ergy is needed to mate the satellite escape the earth? [3 ptsl fl? diff 74G M j E: a, - +12 meg-7 In arlvri rs filial“ He mm litre. +a W W/ ”WM 23 +3.}jX/9U :7?” You must show oil work, not just the answers. A correct answer oione wiii receive zero pain r. {16. Two satellites 51 and 52 of the same mass are going around the Earth in concentric orbits as shown. a}: What is the ratio of the magnitude of gravitational force on satellite 2 to that on satellit 1 Fy‘Fl? [4 pts] :fli (13m: 1; of)? ’b f; “T" 1R : i" 11 “a“ F! ffi'm “ii [E 5R :7? l s___a b] What is the r ‘ e period of satellite 2 to that of satellite 1, Tam? {4 pts] AFTI 3' a 3:, (1?. The graph shows a position-versus—time graph for a block osciliating on a horizontal spring. a} What is the frequency of the oscillation? {2 pts} x {cm} 7:43 4:; _ eastlz 4‘” I: b} What is the amplitude of the fiscitlatifln? {2 pts} 0 2 3 : 10cm ’lfi 2 _ :1: c) What is the phase constant for this oscillatiofg? [3 pts] ”/(Hao): gramme) : Ants 5 s55,” : item {£15}ng 1? we? 1 cs: 9 513* ,- d} Write down the block’s velocity; 3 function of time. {3 pts] fit) _ Poi/5] sihi’ert ) If”! «a .- JJTfrH4 '5?” (“HF 1L p J x (cm) 5 a. 1‘17} ID :. #15277 0M5 -si?1{’w‘f"iL:-5—?T) ' e] {in the second set of axes {to the right}, draw the positiondversus- E time graph if the spring constant is increased by a factor of four but no other conditions are changed. Also provide an appropriate numerical 5s 1 scale on the vertical axis. (2 pts} ' 7V} 5 {ii .--" r (s) ...
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