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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 nonprogrammable and nongraphing calculator is allowed. 
Writelegible 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 virWQIHeas 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 snowcovered slope indined at 30" to the horizontet. Assume your skis
are wood, and the snow is dnr. Thecoefﬁﬁentof 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
ltiﬂm 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: Unir Q"; ‘45 E‘X %:arﬁ its
lace—W “'r 1f4‘Sfm/5‘J (“Mg”) :‘Qﬂ/rﬂ/j h] Use Work and Energy to determine the ﬁnal speed. [3' pts]  taskLUKE I
Kr~Ki=Wﬁ+MHWfK K i é—yﬂlfl = 655111354? 4/:N‘mi3” {’95 ”$5
= ﬁat56‘s “if/4:16.553» 1’5) Frailbody diagram
I? uf 2 We: view”)
= 27.6 M/5 “it‘ll You must showoil 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:emsrailr is lost? {5 pts}
"l
elm elem, Kg :3. ml tmﬁ’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
(es2M) 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 LayMfyma 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 locokg 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 ; elegy4:?!” ) : 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 neededto 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 meg7 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 positionversus—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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 Fall '07
 Angerson
 Physics

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