7 l/- l. Base your answer to the following question on Base your answer to the follor.ving question on the graph below. 5. A proton and an anti-proton, each of mass 1.67 x 10-27 kg are in the same general vicinity and have very small initial speeds. They then annihilate each other, producing two photons. 4) c) ! +i What is the angle betrveen the paths of the emerging photons? 0123 B) D) J: 30 N.s F AT j:: B) @ rn 2iy E) A) \.,.,i", B) D) 0.1 m/s @ o.: rnls E) J.- F A-t :'rn 6V "\ fa) .g C) 3.2 m/s m/s E) 13.2 m/s '-z l lF, r;i g u-j \{ r,. { \:\ , r) '] \ 1l rt, ,\t-'tu',r' (rr'.,r"';" '- .t . "\ : Sc I (cr,) ; p*ii' S lf' ) : \i ' i = -t{:' " ;i t' '1 'f' ,'n. a-/ '1; i .. .1 ' .{- 3 I ) d' \ ,.tt t v.t" i." r .,-fi io -- L\'.F1 '} S cl -- L {./. Mr\/r 0.4 m/s (ir-'ri.:':j C) t, 6:l Y' : BJ 2.8 m/s o.o 6 and 7 on the --l the time of impact, reducing @ rSO" 0.2 m/s l':ra;i Vr,tril" : 2tm VP '\1' 9= : 1-l'i r -\1t 4. In a jousting game, a student of 60 kg is rolled towards a student of 30 kg at a velocity of 5 m/s are rolled towards each other, when they collide their poies conserve all of their kinetic energy as potential energy and redistribute it. If the the 30 kg student is initially at rest what is her finalvelocity? 1.6 1$.) 0.5 m/s the impulse delivered to the passenger. The impulse delivered to the passenger is reduced by the presence ofthe airbag. A) 90. 7. The velocity of the two objects after the collision is most nearly The increased area of the airbag reduces the force on the passenger. The change in the momentum of the passenger is reduced by the presence ofthe airbag. fn. airbag increases the time of irnpact. decreasing the average force on the passenger. D) The airbag decreases D) qt A) 1:l B) 1:2 C) 1:3 D) 2:t (l 3. Airbags inflating in a motor vehicle accident protect the passengersbecause 60" 6. The ratio of the initial kinetic energy to the kinetic energy after the collision of the trvo balls is nearly : ': (i.i(.'e-':,r Pl ?f 100 N s iD) \ ., C) an object at rest with a mass of 5 kg. The objects move together as one after the irnpact. 60 N.s 2. A block sliding on a frictionless surface at l0 rnls hits a spring rvhich returns the block at the same speed. If the blocks lrass was 5 kg, what is the irnpulse the block A) 0.5Ns C) 50Ns E) 500Ns 45" A I kg ball of clay is moving atZ mls when it strikes 90 N.s experiences? B) Base your answers to questions following scenario: What is the impulse imparled by the force during this interval? A) l0 N.s @ +s N.t o" A) Time (s) A) following question on the follolving situation. z E) Base your answer to the ..1- \'-"\.i' : $ lr,1:,- -i,: !, \ -i \.: I , (i,{.:':1 '\j' -r, ,3{\ 1 -- t\frt rl l lt ) , .rrtt \ i : !,r:,:g , t_ , /,\ J =laJs (-\*)-.^)+ 4\x'rn) Xcv^-- (rx1-; + -6 A 6 n.. 8. Base your answer to the following question on 9. following question on the diagram below which shows three point masses. Base your answer to the iCwt= (ra z (-1,0) I -3 n c is sliding across a frictionless surface in the positive x-direction with a velocity of magnitude v o when it collides with a dog of mass m a at rest. The dog now travels at an angle 30o with respect to the cat's initial A cat of maSS path at a velocity of magnitude v r. The cat travels at an angle of negative 47o with respect to the dog's path of motion with a velocity of magnitude vz' Which of the What are the coordinates of the center of mass of this system of particles? A) (*, 8) @ G,*i c) (r, t) D) (3, ;) E) (3, B) 10. following is true? A) mav tsin3\o : mcv 2sinlTo ntav sin3}o : tttcrzsin4To Y) mav rcos3\o : mcv 2coslTo D) n'tdv tcos3\o : tt'tcrzcos4To E) mav rcin3}o * mcvzsinlTo : 6) Nr' t1 drt(.cLr'ot, nn O \/, What is the center of mass for the semi-circle above with radius 2? mcvo Ar-(0+) c1-1t;"+) E){rf) J!+ {r0'\; oy.@t 'd-\r'"- B) xa r 5iv-'3 tt \11 : '!L e t (') t, fr J\& l5Al'3t 4 l-s Als T-' ar GNa t,rJor tr ut 6of4 ubh =I3, Y2r: 45"n 1a (,))e,s= l- Je /) ,? )L ? o-t4{ I fil 5ftig (,, 5O I )Pi t0, 5t#I,/,, Itr J 5:D k3,% 5C> lQ, ,/ {n14 I 'atol It) lo >3 (') b 3" I lF", t' 5 = nf p,r,ss,n,f f lnpt on ,kJ 6r ,rn'i/u'l 5D bP it sar,z f7fr,n f7nnl/ers ,'{ (tt\6^ ,' u $aao- T W dcP/ogt" io,fui'f- "-,4b- . t^tdY' f = F />t T r,,,to*'{*,,::::,T:-*{|1, ;@auz-l SrlN )- €e{g 0:+ t'1 L'\ = -i+-'----' 3uj's *,ffa a h'a rn ,A=t l.t ? o-< rn + t ( :p( Ll o 't 3on = : 6"0Vor o'^ /, I n''' H $ PK; IN 5ry ) ).' 6? t" t,oKr?'v)' €nki V,{ tl, =4 5,r> ,,1*^ t 1,1 = n4 go k5 + /rr + nV*r bokj V; + 1 )J :,J! t' r't"/ r,r'' + fnl' /* 4o I 3o {rt^ + ) sDrr L(r 't;;F>) a @_ @ E. srr*) 6) o'{,t - @-----Yor4 vo o,'' 4\ *I tt,o, ,rf rncr".trl 6lt* C0 r13(rVer ir, J rli"e_*r rnv' + n V + rnv -'- 0r o ,n (-l q, ad fA P.* = frto\fts,n fr'v/ {YroVr'inP+ - 3d= IYlc fftr"y',"'nlJ = 7mzqi L (r,*tn''f =*) 6 r"r ' .'/a,,n '/'r-n = 6rt Y-r', fu,n, Cltrtr'a- b dr t'nlJ *I _r gfr:.] + Ar1 = lrn,tl tt !r', + 5 f,\ z *?'t'1 + 5 rrt
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