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Unformatted text preview: PH 131 FALL 2005 HOMEWORK # 11 Assigned: 11/07/05 Civﬂ: 33IQQJHI131
CRIS! 711?)”C,?'
444:6.ckto. 23p. 3‘15 @ In the overhead view of Fig. 1030. a 300 g ball with a speed :
v of 6.0 mls strikes a wall at an angle 6 of 30" and then rebounds f
With the same speed and angle. It is in contact with the wall for '
10 ms. (at) What is the impulse on the ball from the wall? (b) What is the average force on the wall from the ball? V =' go art/)5 Fimol (a) 3: Impﬁlse
ME 2 Avg 19m. NOW V;K : Vcose
Vi‘tRVéiMQ
V41" : v C—DSﬁ AF .: olZrmusl‘ma : 2.1mué‘4u9
QCBwYIOU’D C9) (5tm50°) : .¢g M5. :09 mm —— @E t) T; :Ar. = Lvs‘mﬁ
At 4*: 2 (“‘3 Nb : 104/» U ﬂ
L'J .  the ﬁrst block, with mass 1.20 kg. and embeds itself in the second. In F1 . 10.325, a 3.50 g bullet IS ﬁred honzomally a: two _ _ blocks t rgest on a frictionless tabletop. The bullet passes through wlth mass 1.8“) kg. Speeds 01:10.63? mfs and 1.40 mls. respectively.
a q are thereby gwen to the blocks (Fig. 1032b}. Neglecting the mass Frictioniess _
removed from the ﬁrsl block by the bullet, find (a) the speed of {he
huliet immediately after it emerges from the ﬁrst block and (b) the hullcl's original speed. .. ' Gva'. b: bulie’r
_ “7T 2 01152.55 a? bullé+zjvgoﬂ met: {.20 kt}, m12l'go k? (b) —t> 0.630 m/s —D 1.40 m/s YE“: ‘Im‘tHaj Vﬁl A black 1 = 0 Fgmal; CD Valenti 4.x!
V s : ~ u H II 2. SE 6 . 0% bul‘é‘l‘
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0% :: ¥me1/5 Luigi37 S A body of mass 2.0 kg makes an elastic collision with another
body at rest and continues to move in the on'ginal direction but
with onefourth of its original speed. (a) What is the mass of the
other body? (b) What is the speed of the twobody cctttcr of mass
if the initial speed of the 2.0 kg body was 4.0 mfs‘? ssm mm (film? ”I? = Vii/L!
vQ DKQV
ULL’ = ﬁlm/b
007112. b) Vow: U‘ {—9. V1; : 0 mu
MW
Be {we AFJper Collision thu' ="MIVI£ +4111V'1ﬂ
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«mg/1;" : “ﬂii WEE
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mm: Wu?)— ”Mi”
M; (x) «1v; Ba ea. (23; em
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P223 Me ‘Is 8‘1 1014: 6% +£x+ 1266+ (i125 and?
deﬁveok Lu 1K0. Wk)‘ Fraana'): \JIf~ (mw’mg 2 ”M‘vll‘ “WW“
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 a ma
1/13 + Am; 5% '5
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Vcw = ”MUN +Km1—Vé“ .k (M: L i '3; In a game of pool. the cue bail stn'kes another ball of the same
mass and initially at rest. After the collision. the cue ball moves at
3.50 mfs along a line making an angle of 22. 0" with its original
direction of motion, and the second ball has a speed of 2.00 mfs.
Find (a) the angle between the direction of motion of the second
ball and the original direction of motion of the cue ball and (b) the
original speed of the cue ball. (c) Is kinetic energy (of the centers
of mass, don‘t consider the rotation} conserved? 55.11 I SO SHEETS 22 I42 100 SHEETS
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COM41.7! (HQ. CH. lS‘i @ A body oscillates with simple harmonic motion according to
the equation GuUEhH
xm =(6WJCOS an???” FIMD‘.
(a) 23(5) wigs) a A00 4’
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For: "THIs PROBLEM. XC—F): Xm Co$(63E+€P) NE 06E 'TH'E'QE
to :: lv/T = 2V 3“ Dem m4w~ '5  .r = (6.0 m) cos[(31r mdls): + «£3 rad]. At .f —' 2.0 5. what are (a) the diSplacemcm. (b) the velocity, (c) [he
acceleration. and (d) the phase of the motion? Also. what are
(e) the frequency and (0 the period of the motion? 55L
0) a: £15  “(mi/6.0) coal—W (Mfg1 0!) Pmlo MM IM 12—51 164% (rm lama. HIT JD ”(7 6? In Fig. 163]. ablock weigh
ing 14.0 N. which slides without friction on a 40.0“ incline. is con
nected to the top of the incline by
a massless spring of unstretched
length 0.450 m and spring con
stant 120 NM. (3) How far from
the top of the incline does the
block stop? (b) If the block is 4
pulled slightly down the incline Fly. “31 Problem 28. and released. what is the period of the resulting oscillations? Causing: THE FoU—ONWG THREE cllsas'.
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2/
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Cx_x;>1: %C“ﬁ){" _. 2.0433040 53mg
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K w: J’ 01' hwy" Hui.) f] :rr (9" A: w A 40 kg block is suspended from a spring with a spring constant of 500 Nim. A 50 g bullet is ﬁred into the block from a? q H
directly below with a speed of 150 mis and becomes embedded COU5 lb E —..
in the block. (it) Find the amplitude of the resulting simple har FD LLO U l U 61 TH EEC
monic motion. (b) What fraction of the original kinetic energy of 5 I To A T f D N 5 . the bullet is transferred to mechanical energy of the harmonic oscil
lator? ssm m EHEM in, I) BUM
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'1. 2 : 351.13}: 32:914fw
— CCme®F0°+9 (a a; = 252.9 =Ebnu£+ (wreak) 121: : Meal/\Wmi WM 01? 09(41de — Em;
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m 46 \ pcrfmner sale—dpon a Impeze is swinging EEK anti 5
with a period of 8.85 s. lfshe stands up thus raising the / :_. g .85 5 mass of the trapeze + performer system by 35 0 cm, whﬂ
the new period of the system? Tm: trapeze + peiﬁirmer
simple pendulum. “)ng THE ngﬁoma‘c gwwbsx. 77,; New 4£m7h J’s: a? Wm" “Mm“ 23?. A 0.10 it; block oscillatcs back and forth along a straight line on a frictionless horizontal surface. Its displacement from the _ .
origin is given by an,“ 
x = (m cmlcoslllo mars): + «:2 mm. [— rad t
«e c“ ' lo __.v
(a) What is the oscillation frequmcy? (b) What is the maximum x (5%.) '00 ) COS C F: )
speed acquired by theblock? At what value ofxdnes this occur? + 1'. «rod» .3 (c) What is the maximum acceleration of the block? At what .‘2.
value of 1 does this occur? (d) What twee. applied to the block.
results in the given oscillation? F: H0 91*.” la.) M..$W;Uﬂ
I :9  K a) WWW “MW 94“
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 Fall '08
 wick
 Physics

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