' +JJJJ ?x\>0='+l>  / X  n e% "+鷎귌췠ᷠ 뷎67Lɯ <= <=` `庠宮    LҦ ³LɆLLҦ  µ)LɥLLѤLҦ :;N:NNH hN ;պ Ժ;L,&Z[\p2Q"(0 P3Q ɿi pLLRͲɊR ^׮p Ѷ8RP˵B̵CpBZ\ @ յյ\BIR -^ ➭\ (p\I Z𐐪L NLA巬 췌`x (`(8`rm`Ժsmaպ`B` ``>J>J>VU)?`8'x0|&HhHh VY)'&Y)xꪽ)' `Hh`V0^*^*>&` aI꽌ɪVɭ&Y&&Y& 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8  '  & x)*++`,G8`0($ p,&"H hH @D@ Jh  DLꢠ ~LLE ҭ !"#$%&'(')*+,-./0123456789:;<=>?  / X % "-+LŠ͠ˠҠԠĭӠɮԠĠΠŠ֠ӠӠФbptťܥm2<(-Py0\|mRǿx8ɍL)?GGLiѼټ ` `l8mµLTHIHHHHhHH݌hHhHh݌H6 ˆʎõĵL õ ĵµȌ aµ`` L̦µ_bJLLzH hB@L  ȟ QlXJ̥KlV  ȟ QlV eօ3LɠL4L³ &RL &QL d L4 Ne)n `ꭜiɴ LE f`L . tQLѤ LҦLL¼` OPu d L Ne)noon Rɍ`\õL$D@8 D@LBR \L RNLҦHv 3h`0h8` LQ õ`A@`8. ŵH fh  F 濭0 \  ȟ Q ^\lZl^=vH şh`fhjõĵ@OAP`u@`@&`QR`F Ls  @DAF@u`8` %@ @A@`@`@A`-µ µ L8@AWc@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@ch8&ȑ@Hȑ@Ah@LHȑ@ȑ@ htphso`hMhL`LծHIDOLOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIFٯTLOATLISDUMDISATSAVDATŭApppp p p p p`" t""#x"p0p@p@@@p@!y q q p@p y@@y@y@p!y@p q@p@   DOS LANGUAGE ABSENRANGDISK PROTECTEEND DATFILE NOT FOUNVOLUME NUMBEI/FULL DISFILE LOCKESYNTAOUT OF BUFFERFILE TYPFILE TOO BIINDIRECT COMMANDAVID-DOS II.2 DISK ABSEN ERROR u`X`*2@MPYdjxϠ@跻~!b]*9~~e)rsrs`_ r j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ! f 8صٵ紭ﵝ 7L (0BC  7LL{Lg0& JJ yõLõ ŤLµ%J y B B Ť L  Jn Ͱ,0 # ̵µ аL (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ e ^* B0 HȱBh ӵԵ 8 `L8 ݲ` ܫ f ; @D B ! , , ƴ0Lȴ ȴ)  紅D贅@ B ɴ  J$ , 0 Ν Ƀ`HD8H@ຐ@hDh h` ŵBѵ-`, ѵB8` Ꝣ u %ﵭ` fm ﳐ 7i볍 8 `ЉLw`H fh ݲL`~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈m浍浭m䵍䵐`"L ŵ8ŵH P(` dƭ֍뷌ᷩz L*# ׳ܳ 䳩鳩곩i$,V6 LLټ%i[ci,,,ټ躥̺غi躭i3مLABCGحɠ іL³ƭȭ֍ 떙L³֠LXZdflpVVxT4=媗߷iȿ@JX ocu!*3BLOAD^PICT,A$A000"`$A000`N$`(N$,1)"#"S0:910`N$(N$,2):S(N$) aN$(N$,2               !,140:"Thank you, "N$"."!cN$Dc2:0,175:"Press space bar"Nc2000hc0:0,175279,191:3c0,175:"One moment..."c:HIc">RUN INSTRUCTIONS.A"cA$:A$" "ıcA$(1)į:HI:">RUN TEACHER.MENU"c2000I"ı$d120$bB(N$)12A$"A"A$"Z"1060:bLX((N$)),Y:A$;MbVN$N$A$:1060ab`X((N$)1),80nbj(N$,1)btX((N$)1),80b~(N$)1N$"":1060bN$(N$,(N$)1):1060b(N$)1M$(N$,1):I2(N$):M$M$(((N$,I))32)::N$M$c00,al">BLOAD ^START FRAMES,A$7000":$7000=av216,0:1000\a216,0:(222)6ģHI:::ea620a1:1:2000:2:2000:3a:2a7,80a3aN$""a49168,0a$A$a.A$(13)N$""1170b8(A$(8)A$(127))N$""1` "Start '`d(21)/`n::`xX(12)J`">BRUNGAP"V`$AE00o`HI(115)(116)256`6">BLOAD]WAGO,A$800"`J">BLOAD]BLOCK,A$AE00"`$A500,1:10,1`$0800,2:13,2`$AE00,3:18,3`$0000,4:18,4ab64    ` "Hello 2`d43698,190:217,0@`n">HIDOS"L`s5:" "X`xS24576a`S,0w`103,1:104,S256`">RUN START"">-START" S24576S,0103,1:104,S256">RUNSTART""a 60 kg crate 10 meters?"#w=#800.w@#0,53MwA#"Weight = mass x 9.8 m/s"YwE#57,75qwF#"= 60kg x 9.8 m/s"~wH#190,48wI#"2"wK#190,70wL#"2"wP#800wZ#0,105w_#"The crate weighs"wa#"_ newtons."wx#215,80w}#"A"x#247,80: vb 10,65!vd "W = 196 joules"*vg 800Dvl 0:0,110279,191:3Pvq 0,130vvv "The joule is the unit of work."vw 800vx 0,145v{ "A joule is equal to a newton-meter."v'#900v(# 9v2#0,20v7#"How much work is done in lifting"w<# u 97,149u "2"u 800-u 138,140Fu "or F = 98 newtons"Ou 800iu: 0:0,105279,191:3uu? 0,110u@ "Work = 98 newtons x 2 meters"uD 800uN 45,125uO "= 196 newtons-meters"uS 800uT 45,140uW "= 196 joules"uX 800 t800#t0:0,110279,191:3/t0,110[t"Since g = 9.8m/s and F = m g, then"it127,101rt"2"t221,108t"."t0,140t"F ="t35,149131,149t35,150131,150t38,130t"10kg x 9.8m"t70,155u"sec",102236,102236,25/sK130,103237,103237,25BsO236,32240,32OsP243,23YsQ"2m"lsT236,67240,67ysV243,60sW"1m"s10,50s"W = F x d"s800s0,110s"When a 10 kg mass is raised"t"2 meters, how much work is done?"ough the lifter may get"Ar"very tired holding the weight up,"fr"no work is being done, since "r"the weight is not being moved "r"through a distance."r7999r s=s+1r111,135r?900r@ 8rE$A000rG1150,30sJ130no." qqA$$qA$"Y"61605qA$"N"6170?q 6140Jq31000Tq7000\q1q0,0:3:"Instruction 7":995qSS1:7000qW900qX0,120qb470,22ql2:78,25:"5Kg"qq187,25:"5Kg"q2q0,105r"Even theight was raised."po900#pp 61pu470,30=pv78,30Hpw"5Kg"Upx187,30`py"5Kg"hpz2rp6100|p6140p800:2:0,120p"Is work being done by this person?"p40,140p"Press Y for yes."p40,155q"Press N for oM0,0:3:"Instruction 5":995,oNSS16oO50004150nJ nK1" 900 m 3m 0,309m "The equation for work is:"Dm 0,60gm "Work = Force x Distance"pm 800xm 3m 1m 55,115185,115185,14055,14055,115m 3m 60,120m! "W = F x D"m900m 4m$A000:1100,40nf work and power."l900#l 2.l0,30Nl"When we lift a weight or"nl"push a lawnmower, we say"l"that we do work."l800l0,100l "One thing common to all work"l"is that a force is applied"l "through a distance."m::3::::3:1(kS059000mk0,0:WT$" "S;:W9,WY:1:0,18279,18:0,19279,19:3:2:.5zkS1000k1:0,18279,18:0,19279,19:3kk 1k0,30k"This program will help you"k"understand the concepts"l"oUN INSTRUCTIONS.E" jRR1956)j960AjN$"#"(S)N$:N${j0:0,180WX,191:2:0,176:"Please wait...":HI:j1:j0:110,0160,16:3j3:110,0:Sj0:0,120279,191:3:2:990jSNS1İ955:">RUN PRACTICE"k1::"There is not an "WT$" "S".":OiNI1SSBİ950:">RUN INSTRUCTIONS.A"iNI2SSBSSCİ950:">RUN INSTRUCTIONS.B"iNI3SSCSSDİ950:">RUN INSTRUCTIONS.C"iNI4SSDSSEİ950:">RUN INSTRUCTIONS.D"jNI5SSEİ950:">Rce bar";:WX,WY::h4A$-h>A$" "ıkhHA$(1)į:D$"#"(S)N$:D$:HI:">RUN TEACHER.MENU"hRA$(2)SS(S0):910h\A$(0)820hf:::5:"Which screen? ";WS$:(WS$)S(WS$)hp910h810:SS1#iW10::S0SNS1problem",4N"to be sure you can calculate">9N"work done."GR900PR 21[ R0,30R"A force of 600N is applied to"R"a box to pull it 15m across a"ʇR"floor. The rope used to pull"!R"the box is held at an angle"&R"of 46")RL58,126/L"= (100 N) (.906) (20 meters)"8L800EL58,139cL"= (90.6 N) (20 meters)"lL800yL58,152L"= 1812 newton-meters"L800L58,165L"= 1812 joules"ɆN900҆ N 20ۆ!NRR0*N0,30/N"Let's try a sample 279,191:3wL60,1551xL"s = distance moved":L800TL0:0,120279,191:3aL40,100rL"W = Fh s"~L95,97L"."L800L58,113L"= (F) (cos ) (s)"ąL137,113ͅL"O"ԅL3酫L138,122143,122L138,121143,121 7J9008J 199JRR0%,L0,120F1L"The equation for net work"b6L"is W = Fh s, where"o;L82,130x=L"."JL60,155OL"W = work done"^L800_L0:0,150279,191:3ʄhL60,155jL"Fh = horizontal force"rL800 tL0:0,15000D111,135)D"= (100 N) (0.423)"2D800@D111,150PD"= 42.3 N"Y(F800f+F265,60o,F"="|/F240,750F"42 N"OF900PF 18QFRR1DH0,120ՃIH"How much work would be done if"NH"the lawnmower is moved 20 meters?"ertical component of the"?rB"force is found by multiplying "cwB"the force by the sine of the"|B"angle through which it is applied."B800:0,120279,180\D80,120˂fD"Fv = F sin 25"قkD145,118lD"."pD210,113qD"o"D8t@80,120"~@"Fh = F cos 25"0@145,1189@"."G@210,113P@"o"Y@800g@111,135@"= (100 N) (0.906)"@800@111,150@"= 90.6 N"@800@215,97́@"= 90.6 N"ցgB900߁hB 17iBRR1lB0,120mB"The v the applied force does work."':9000: 159:RR1E<0,120l<"The horizontal component of the"<"force is found by multiplying "<"the force by the cosine of the"†<"angle through which it is applied.">900> 16>RR1 ,40 6"0"6230,32"6"N"/7180,8097"25"F 7202,73O 7"o"\7190,97f7"Fh"sx7240,60}z7"Fv"}780,1208"Since the lawnmower moves"8"in a horizontal direction,"8"only the horizontal component"8"ofe ground."~6900~6 14%~6RR10~614049;~614500C~63e~6150,95235,95235,50150,95r~6170,65{~6"F"~6168,63178,59~6175,58178,59177,63~6183,68191,64~6182,71190,67~6198,50:"1"~6206,46~6"0"6217e"}."net force."}2900&}2 13/}2RR1<}230,46H}40,120k}4"While mowing grass, a force"}4"of 100 N is applied to the"}4"handle of the mower at an"}40,162}4"angle of 25"}493,157}4"o"}4110,162 ~4"above thalar quantity."|+800#|+0,85E| +"Work is the same no matter"k|%+"what the direction of movement"|*+"resulting from application"|/+"of a force."|.900|. 12|.0,30|."When work is done, the force"}."that does the work is th0,56${8'"read as distance, it is"I{='"really displacement since the"h{B'"movement will be in the"{G'"direction of the net force."{*900{* 11{+0,30{+"Both force and displacement"{ +"are vector quantities, but work"|+"is a sc,100zB$"= 588 N x 10 m"$zC$8001zJ$84,120CzK$"= 5880 N-m"LzM$800YzT$84,140nzV$"= 5880 joules"wz'900z' 10z'0,30z'"Although the d in the"z$'"equation W = F d"z)'131,40z*'"."z.'160,43z0'"is usually"{7'91:3y$A$"B"9240"y$0,140By$"The correct answer is B."Ny$0,160fy$"F = 588 newtons."py$9250y$0,140:"Correct"y$0,160y$"F = 588 newtons."y"$800y'$0:0,50279,191:3y6$60,80y;$"W = F x d"y<$800z@$84"60"x#215,100!x#"B 588"/x#215,120=x#"C 600"Ix#0,145ex#"Press the letter for"x#"the correct answer."x#A$x#A$"A"Y80:9220x#A$"B"Y100:9220x#A$"C"Y120:9220x#9200x$200,Y:"*"y $0:0,145279,1 TEACHER.MENU"*bRA$(2)SS(S0):910RUN INSTRUCTIONS.A-aN$(N$,2):(N$,1)"0"(N$,1)"9"170;aN$:910Wa0:0,150279,191:3:~a 810:WC(228):0:0,180WX,191:a*WW::2:0,176:"Press space bar";:WX,WY::a4A$a>A$" "ıbHA$(1)į:D$"#"(S)N$:D$:HI:">RUNh=!` "Instructions.A .`d:(21);`n115,HI}`NS50:NI1:SB999:SC999:SD999:SE999:WW1:WT$"Instruction"`NS39`NI2`SB23`">BLOAD^PIC.HAND,A$A000"`$A000`N$`(N$,1)"#"S0:910`N$(N$,2):S(N$)                    0,50279,50:0,51279,51,0,160279,160?0,161279,161G毾2R0,60iN$", this lesson""presents basic relationships""between work, power and energy."0,110哯"These basic concepts are used" "in many aspects of tY22 V.2Y3^YY53c142,Y178,Y22{A$KC{A$"Y"31560]D{A$"N"31570hE{31550oH{ uR{}\{1_{3:0,0:"Instruction 7":995f{SS1|@ ӑA0:182,85225,105:3ܑEY84JF111R0T142,Y178,s"$Yy"being applied, but without"K^y"movement, there is no distance."T|y800[y0ry0,120279,191:3~y0,120y"Remember,"y0,135y"work = force x distance."Ȑ {800:1{3:0,0:"Instruction 6b"{995{470,30 qwSS1(tw3:0,0:"Instruction 5"1uw9957y@y 6aHy1m"y3:0,0:"Instruction 6a":995{,y470,301y26y78,30:"5Kg":187,30:"5Kg"Iy2Jy0,120ޏOy"Since the person is holding "Ty"the weight still, a force ih"#u"a distance from the floor":u"to head height."C$w800K.w1k8w3:0,0:"Instruction 4b"t:w995|;w2X0,120i?X"The work done is the product"BX"of 417 newtons times the"DX"15 meters the box was moved."HX800IX22525΋RX50,120SX"W = (F) (cos O) (s)"UX151,128157,128ection of",W"movement is the horizontal"SW"component of the applied force."\W800nW22525:22530W0:0,120279,191:3WX50,120X"Fh = (F) (cos 46 )Ê X180,115̊ X"o"ՊX800X75,135X"= (600 N) (.695)"X0,93V"Fh"V95,50#V"F"0V129,359V"6"F V139,32O!V"0"\#V150,27e$V"0"r'V166,22{(V"N"6V93,48104,448V104,44102,429V104,44104,47Ɖ@V110,53118,49ىCV110,56118,52W0,120 W"The force in the dir43,78*R"o"0R60,8221R"with the floor."=6R0,95[:R"How much work is done?"dU900mU 22uU3|U3U60,90190,90190,3560,90V3V95,74V"O = 46"ψV95,83102,83V95,82102,82 V146,67 V"o"V12"ru105,140ru"Kg-m")ru110,1624ru"sec"Bru138,157Kru"2"cru3:100,157161,157xru100,158161,158ru800ru180,150ru"= 19,600N"ry900ry 31r!y68,145r"y0,30r'y"The force necessary to move" s,y"the elevatorqu187,143qu"2"qu8008qu0:0,115279,191:3Equ10,105cqu"W = (2000Kg) ( )"pqu128,97|qu"9.8m"qu3:126,113165,113qu126,114165,114qu128,120qu"sec"qu155,115qu"2"qu800qu10,150ru"W = 19,6000,40(pIu"The weight of the elevator "HpNu"is found by the equation"TpSu10,80cpVu"W = m g"tpXu54,78:"."pbu45,115pgu"where"plu100,115pmu"W = weight in Newtons"pvu100,130pwu"m = mass in Kg"p{u100,147p}u"g = 9.8 m/s" vator 18m in 40s."opq0,30)ozq20,70Ko|q"a. How much work is done?"Toq800`oq20,90oq"b. What is the power of the"oq45,105oq"motor in watts and kilowatts?"o/u900o0u 30o:u0,25o?u"How much work is done?"oBu800pDu150nn100,155110,170'n(n160,1458n)n"= 0.80 KW"AnGq900JnHq 29UnRq0,30znSq"Let's look at another problem"nWq"involving work and power."n\q800n^q0:0,30279,70:3ndq0,30nfq"An electric motor lifts a 2000Kg"ngq3okq"ele170,70mm"= 800W"mm800&mm32mm0,110Smm"The power in kilowatts is"_mm800:3lmm30,145wmm"P ="mm60,153140,153mm60,154140,154mm75,135mm"800W"mn62,155mn"1000W/KW"mn800mn2mn1nn105,135115, ltm800lum3l~m30,70'lm"P ="8lm60,7975,79Ilm60,8075,80Ulm62,60^lm"W"jlm62,80slm"t"|lm800lm3lm85,70lm"="lm100,60lm"4000J"lm100,80150,80lm100,79150,79lm110,80lm"5.0s"lm800mmi"W = F s"ki97,58!ki"."*ki8006ki68,80Lki"= (40N) (100m)"Uki800bki68,100qki"= 4000J"zki800ki0,130ki"The machine does 4000 joules"ki"of work."k_m900k`m 28kjm0,30lom"What is the power of the machine?"e"of 100m in 5.0 seconds."%je8000je0,75Nje"How much work is done?"Wje800bje0,95je"What is the power of the machine"je"in watts and in kilowatts?"jwi900jxi 27ji0,30ji"How much work is done?"ji800ji50,60 kKW)."ib800ib0,80:ib"A kilowatt is 1000 watts."Cie900Lie 26Wie0,30vie"Let's look at a problem"ie"involving power."ie800ie0:0,30279,80:3ie0,30ie"A machine produces a force"ie"of 40N through a distance"jes/second."ha800ha0,80Gha"A watt is a small unit of power."Pha800\ha0,105ha"It takes about a watt to lift"ha"a glass of water."ha800ha0:0,25279,191:3hb0,40hb"Many times power is measured"i b"in kilowatts (for power is"g]50,110)g]"Power ="0g]3Eg]125,120165,120Zg]125,121165,121hg^128,102tg ^"work"g^128,121g^"time"ga900ga 25ga0,30ga"Since work is measured in"ga"joules, power will be measured" ha"in joul in WATTS." fY165,87230,1001fY800:0,105XfY"A watt is one joule per second."af]900jf] 24uf]0,30f]"Power is important because"f]"it lets us measure the rate"f]"at which work is done."f]800f]0,75 g]"The equation 9:3:2:.5eS1000'eQ40,1150eY 23;eY0,30]eY"Another common quantity we"heY0,45eY"talk about is POWER."eY102,47165,60eY800eY0,65eY"Power is the rate of doing work."eY800eY0,85 fY"Power is measured80WX,191:2:0,176:"Please wait...":HI:Fd0:110,0160,16:3Yd3:110,0:S|d0:0,120279,191:3:2:990dSNS1İ955:">RUNEND"d1::3::::3:1dS059000 e0,0:WT$" "S;:W9,WY:1:0,18279,18:0,19279,1"3cNI2SSBSSCİ950:">RUN INSTRUCTIONS.B"ecNI3SSCSSDİ950:">RUN INSTRUCTIONS.C"cNI4SSDSSEİ950:">RUN INSTRUCTIONS.D"cNI5SSEİ950:">RUN INSTRUCTIONS.E"cRR1956c960cN$"#"(S)N$:N$-d0:0,1t of the applied force."oW800oW22525:225301oW0:0,120279,191:37oWDoX50,120^oX"Fh = (F) (cos 46 )lo X180,115uo X"o"~oX800oX75,135oX"= (600 N) (.695)"oX800o X75,150o!X"= 417 newtons"o*X800o/X22525139,32m!V"0"n#V150,27n$V"0"n'V166,22$n(V"N"6n6V93,48104,44In8V104,44102,42\n9V104,44104,47on@V110,53118,49nCV110,56118,52nW0,120nW"The force in the direction of"nW"movement is the horizontal"nW"componen10 }900,1:0,50279,50:0,51279,51N0,120279,120:0,121279,121V毾2t0,60:N$", let's study""(skill name goes on these""lines.)"900HI%NS$NISBySCySDySEyWWW p`NSW165,50L210,100275,50<M0,1000,115210,115210,100QN210,115275,65WTaqX120lrF15yw1X,30XX140:X122,40X135,70:3FF11000:xNI1S0SSB(NI2)SC(NI3)SD(NI4)SE(NI5):9"of a lump of coal, for example,"<~"is difficult to do."E~800Q~0,100x~"If we burn the coal and measure"~Ƙ"the work it does, we are"~И"measuring its energy."~?900~@ ~A40005:40049~E3~J0,100210,100K0,100essed in joules, just as"=}"work is expressed in joules."H}0,28e}800:0:0,30279,70:3p}0,30}"It is not easy to measure the"}"total energy of any object."}W900}X 39}b0,30}l"To measure the energy content"!~v#|ܐ"gain in the block and table.",|8004|␘16E|䐯85,85:"^"L|吘0j|搯90,80:"gaining energy"u|됰37060|쐯0,140|"Energy gain equals the work"|"on the block."|o900|p 38|z0,28|"Energy measurements are"}"expr there is"0{"an energy loss from your body."9{800A{48R{70,94:"^"Y{0e{90,80z{"losing energy"{37060:37080{Đ800{Ő0:0,140279,191:3{Ɛ0:50,80202,96:3{ΐ{ؐ0,140{ڐ"There is an equivalent energy"make up the block and table"3zE"to move faster.">zJ35025JzO0,130ozQ"We say that friction between "zT"the block and table causes each"zY"to become warmer."z900z 37z1120,30:40005z0,140 {"As you push the block,lock gain energy."y900$y 363y1120,30>y40005Jy0,130oy "A small amount of energy from"y"the food you eat is transferred"y"to the block and table."y"35025y60,130y;"The rubbing causes the particles"z@"that xň40000xƈ0,130900Z{> 16c{>RR1p{t@80,120{~@"Fh = F cos 25"{@145,118{@"."{@210,113{@"o"{@800{@111,135{@"= (100 N) (0.906y}7y80,120z8"Since the lawnmower moves"8z8"in a horizontal direction,"]z8"only the horizontal component"z8"of the applied force does work."z:900z: 15z:RR1z<0,120z<"The horizontal component of the"z<"force is fo6118,63128,59y6125,58128,59127,63!y6133,68141,644y6132,71140,67Fy6148,50:"1"Sy6156,46\y6"0"iy6167,42ry6"0"y6183,35y6"N"y7130,80y7"25"y 7152,73y 7"o"y7135,97y7"Fh"yx7200,60yz7"Fv"f 100 N is applied to the"x4"handle of the mower at an"+x40,162>x4"angle of 25"Kx493,157Tx4"o"bx4110,162{x4"above the ground."x6900x6 14x6RR1x614500x63x6100,95195,95195,50100,95x6120,65x6"F"x"resulting from application"w/+"of a force."w.900%w. 120w.0,30Tw."When work is done, the force"uw."that does the work is the"w."net force."w2900w2 13w2RR1w214049w40,120w4"While mowing grass, a force"w4"ov0,60:N$", let's study"#v"(skill name goes on these"2v"lines.)";v900ev +"are vector quantities, but work"v+"is a scalar quantity."v+800v+0,85v +"Work is the same no matter"v%+"what the direction of movement"w*+0t>{A$uC{A$"Y"31560uD{A$"N"31570uE{31550$uH{ *uR{2u\{1Vu_{3:0,0:"Instruction 7":995\u|uxNI1S0SNB(NI2)NC(NI3)ND(NI4)NE(NI5):910u1:0,50279,50:0,51279,51u0,120279,120:0,121279,121u毾2orce is"tYy"being applied, but without"5t^y"movement, there is no distance.">t|y800Ety0\ty0,120279,191:3hty0,120yty"Remember,"ty0,135ty"work = force x distance."t {800:1t{3:0,0:"Instruction 6b"t{995t{601VwA$r[wA$"Y"30560s\wA$"N"30570s`wsjw"sow1,sqwSS1Kstw3:0,0:"Instruction 5"Tsuw995Zsycsy 6aksy1s"y3:0,0:"Instruction 6a":995sIy2sJy0,120sOy"Since the person is holding "sTy"the weight still, a f holding down" ru"the 10 kg mass."ru800,ru0:0,120279,191:38ru0,120]ru"The force was applied through"~ru"a distance from the floor"ru"to head height."r$w800r.w1r8w3:0,0:"Instruction 4b"r:w995r;w2r=w4010r m)"pfX67,150 qiX"= (417 N) (15 m)"qpX67,165*qqX"= 6255 J"0qtY9qY900Bq0u 4aJq1u1jq:u3:0,0:"Instruction 4a"sqDu995{qu2qu0,120qu"The person applied a force "qu"sufficient to overcome the "qu"force of gravityo>X0,120p?X"The work done is the product"2pBX"of 417 newtons times the"VpDX"15 meters the box was moved."_pHX800jpIX22525wpRX50,120pSX"W = (F) (cos O) (s)"pUX151,128157,128pVX151,129157,129p\X67,135p]X"= (600 N) (.695) (15` "Teacher Menu 2`d::(21):E`nN$(20),R$(20)j`x(64435)234(64448)234E1`B$(8):M$(27)(15):M1$(24)(14)`Z1$"|":Z2$Z1$:EZ1$M$"Z"M1$:Z2$M$"_"M1$`P12a(64435)234Ĺ49162,0:">PR#3":(17):    110aL279,198L18:N$#aV:+a`486ajW12BatL114Xa~L2020,191:N$`a:ha16saW12aL114a295L20,0:N$a:a0a1aI1(28672)1aIaA$:A$" "1260aaIa ::NUN T `d(21)`n1:0*`$7000:$7000^`(8181)0ĺ">BLOAD]BLOCK,A$AE00":$1FF4,$AE00f`3`">BLOAD^END FRAMES,A$7000"`6:`0::3`1`N$`W12`L110`0,L1818:N$`$:`.32`8W12aBL,120:0,121279,121毾20,60:N$", let's study">"(skill name goes on these"M"lines.)"H"I.)"ction 6b"{995{6010 >{A$C{A$"Y"31560-D{A$"N"315708E{31550?H{ ER{M\{1q_{3:0,0:"Instruction 7":995w|xNI1S0SNB(NI2)NC(NI3)ND(NI4)NE(NI5):910Չ1:0,50279,50:0,51279,510,120279Ty"the weight still, a force is")Yy"being applied, but without"P^y"movement, there is no distance."Y|y800`y0wy0,120279,191:3y0,120y"Remember,"y0,135y"work = force x distance."͈ {800:1{3:0,0:"Instru:w995;w2=w4010VwA$[wA$"Y"30560)\wA$"N"30570/`w5jw=ow1GqwSS1ftw3:0,0:"Instruction 5"ouw995uy~y 6ay1"y3:0,0:"Instruction 6a":995Iy2Jy0,120Oy"Since the person is holding "he " u"force of gravity holding down"$u"the 10 kg mass."-u800Gu0:0,120279,191:3Su0,120xu"The force was applied through"u"a distance from the floor"u"to head height."$w800.w18w3:0,0:"Instruction 4b"]X"= (600 N) (.695) (15 m)"fX67,150(iX"= (417 N) (15 m)"5pX67,165EqX"= 6255 J"KtYTY900]0u 4ae1u1:u3:0,0:"Instruction 4a"Du995u2u0,120Ņu"The person applied a force "腞u"sufficient to overcome ttons"*X800/X22525 >X0,120-?X"The work done is the product"MBX"of 417 newtons times the"qDX"15 meters the box was moved."zHX800IX22525RX50,120SX"W = (F) (cos O) (s)"„UX151,128157,128ׄVX151,129157,129\X67,135 horizontal"W"component of the applied force." W8002W22525:22530LW0:0,120279,191:3RW_X50,120yX"Fh = (F) (cos 46 ) X180,115 X"o"X800X75,135X"= (600 N) (.695)"ǃX800ԃ X75,150!X"= 417 new"F"V131,35V"1" V139,32!V"0" #V150,27)$V"0"6'V166,22?(V"N"Q6V93,48104,44d8V104,44102,42w9V104,44104,47@V110,53118,49CV110,56118,52W0,120΂W"The force in the direction of"W"movement is the"with the floor."6R0,95:R"How much work is done?"(U9001U 229U3@U3`U60,90190,90190,3560,90gV3sV95,74V"O = 46"V95,83102,83V95,82102,82 V146,67 V"o"ȁV120,93ҁV"Fh"ށV95,50Vn calculate"9N"work done." R900R 21 R0,30DR"A force of 600N is applied to"iR"a box to pull it 15m across a"R"floor. The rope used to pull"!R"the box is held at an angle"&R"of 46"ʀ)R43,78Ӏ*R"o"߀0R60,821Rh` ( 퍷` mLHHH)  L L ) 8d* &'0H   hhhh`eȱe騥,LL] `'4 ⎺ < H c= ?I`CL,  ޤL `鍫L HhL魯L5LY ߪ$LY$` { lݢqrQLYL jʭ  奝ȑȑ` j,{a (  L 릃L+L lP PQR L쾻 J r ԥo8mPpnQ L:somkig    H Ph`` C`  R`  )7  &P&Q` PQ A W۩ PQ $ LW۩ ` C5L  Q W۠PPPQ L  ޠPȱPL   P PQ`PQ` L L PQ PQȑ Ә8eL  A U LPL )nL^HHLLBŵ֡ʣئ̫uUH,yy(h:h' $ gLRPQ AA10fvF10:A1F11(fA2A:680VfA$(8)A$(11)A1A:AA1N(A1):680fA$(21)A$(10)A1A:AA1N(AN):680f450f5W(A11):P3:N$(A1)f420f"InstructionsfINSTRUCTIONS.AfonsfINSTRUCTIONS.Ag"Pra30 ee(49152)127540(e4504e" "B$;Be&A$:A20Ue0A$(13)600ze:R$(A)"#"į N$::">RUN"R$(A)eDI19:(N$(I),4)"Inst"ĺ:">RUN"R$(I)eN:eXA1(A$):((A1NA1)(A$"0"N9F1))650ebA1A:A(A$)flF1A10NURN accepts"?dEĖ4:"1-"N", arrows select; RETURN accepts"GdA1Vd5W(A1)jdP3::N$(A):d8W(N1):29:" "B$B$;:A2ĺA2;d"_"B$;dI140:(49152)127I50dd(49152)127540d" "B$;eI125:(49152)127I0W(N1):V:Z1$;:40:Z2$;:`cT11W(N1):Z1$"______________________________________"Z2$B$kc^A1Nch5W(A1):P(A9):A". "N$(A)crc|8W(N1):13:"Select Segment: "; d10W(N1):4:Eĺ"1-"N" or "M$"J"M1$" "M$"K"M1$" select; RET$):N$(A)"Return to Program":R$(A)"#":AA1:11PP11ebN$(N$,2):(N$,1)"0"(N$,1)"9"280ob"NA1b,W2:N7W1b61:" ______________________________________"b@Z1$"____________";::" Teacher's Menu ";::"__________"Z2$;cJV31190=a$2F0,201,251,176,6,201,225,144,2,233,32,76,240,253Qa54,$2F0:1002[aAA1ea240vaN$(A),R$(A)aP1(21.5((N$(A))3)2):P1PPP1a190a216,0:(222)42ĦaN$:N$""290a(N$,1)"#"2907bN$(N$,2):S(N-M 5;.MI5;.MI5?;w---5?II55757m--????.mI->;.MI)>;.MI)>?.---??IIIJ--???-M -757mII:?---??II III 575---5????-MI57mI 57mI 5??---->??VIIJ--???-M ->;.---->????.?---->???VIIII)->?-7m???.--757575IImI)7mII5۷IIIImI 57mI 57-M -??--?w57575II-----5????wII)>-?-?-?->7----5????III--->?75757575757-->?I 5w5w5w5w5w5w5 --->?w 575757575-->?I J ?--???----;7->7->II----5????oII )?7-?RJ--->???>ۛmI 5??---??II -----5????wI57575757575IImmI 57mI 57mI 57mI 57mI 57mI 5??---??II mmI 57mI 57mI 5wmI5wm)>w-5?w5IImmII)>7mII)>7m m 57m m 57m m 5wm-m5?w-M->IIIImII57mII;m w->m>;.MI)>;.MI)>;.MI)>;.MI)>?---??II ----????.MI->;.MI)>;.MI-????.---;.>.>VIII --???-M ->;.MI)>;.MI)>;.MI)>?7m -->?;w---??VII----????.MI->;.MI)>;.MI-????.---?7m -?7mI)5III --???-M ->;.?---???NI-N57575757mI5??--?IIImI)>7m -?7m-??.-??. -?7m -?7mI)5III5575757575757---5???II mmII)>7-MI)5?;7-mI-5??7mm) 5;7m)-M5;?7m m 57mII)>۷IIIIM-MI5;7-mI5?7mm 57m)M5;7m m57mI-5?7mI)5?۷III --???-M -)>;.MI)>;.---???III-----5????75757---->???75757----5????III-----5????75757---->???757575III --???-M ->;.>.MI??;.M)-57mI 5;w---->???VIImmI 57mI 57mI 57----5????7mI 57mI 57mI 5III--5?w575757575-5?I I)-->??>;NII5?-?75*>VI J)5?.5?.m????---??-VI)I)?--??-M ->;.MI)>;.---->????.MI)>;.MI)>;VIII----????.MI->;.MI);.---????.MI->;.MI)>;.---???III --???-M ->;.>.>.>.MI)>?---??II ----????.MI->;.MI)>;.MI)>;.MI???-M ->;.MI)>?---5???-M ->;.MI)>?---??II --???-M ->;.MI)>?---->??NI)>ۛmI 5??---??II J:7->J:7->IJ:7->J:7->woJ >-M????----5????->IIJII:???7----????.--- JJI7-????.----????NI-7I --???-M -????III --???-M ->;NII5?--5??wI->ۛmI 5??---??II III5?-5??- 5;-M)>7----5????wI 575I-----5????757mI???7----?5*MI)>?---??II --???-M ->;.>. --????.mI->;.MI)>?---??II -----5????wII)>-?-?-7575II --?----?--m)M۷IIRI757m????7----757JI ?7-5?.o III:????.----JJ:7->IIII5555555II --???-M ->;.MI)>;.MI)>;.MI)>;.MI)>?---??IIII 5?7-575757575*-->??VII- --???-M ->;.MI)>-?-?-?----5m)>7m)>*---->????Nm)>*---->????Nm)>7m)>߷II II5*--5???7m57---???Nm5---???N)>VI))m 5;?7mm5??- 55m?m-->m)-?;VII I)>--???- m-;.M5;.Mm??---??w)>VIII)?7-5?.RI 575757575w w575757575IRRIm)Mw--ad0[5EZg|?j6s1nCfNg-` 1 n  > l  Q x 5 b r $ O | )I'''0I575757575*>Vmm)>7m)>߷JI      H8HӰ hIiHӅхhЅhIi҄f8Ъх` e8e҅ԥ k 0"H h gL~  k  g  (Ӱ eЅԥeP,pLZL^No!L@|)T G> E"WE)L  l  j`&  B8`` ]  ] `LNhh`Ϧ  ݩ`8`    `(LN&E=Q&&&`   ^ LHh -Ȏ`L _ _ LK0 L6  L PQ`pL:ۍРֳנ嬠ȍwI5oI?7--->?.>.>VIIII:??---w--*--??II J7m:??.--757-5?I II:;.M)>;.M)>;.--??VII-II7mI;.M?7-II5II7mm57mm57---??II MIIwm)?w?m)۷IIIII:;.M)>;.M)>??w--5*--??oII-II:??7---?-?7--->;.M)>;.M)>;VII7*>757575IJ5w:.>.>.>oI*>.M7m)7-7m)II ے*>.>.>.>.>V II:??---57mm57mm5IIIߒI??7--->;.M)>;.M)>;VII.I??--->;.M)>;.--??VIIwI??7--->;.M)>;.--??75oIImII:??--->;.M)>;.--5??---5???oII *>. II:??--->;.M)>;.--5?VIIw*>.M??7--->;.M)>;.--??II >I??--->;.M7---??VIIJI575??--->;.M)>;.--5??III??--->;. -;.--??VIIJ-??7m)-->?w575III??--->;.M)>??w--5--??MI?*>.M?? 57mI57mI;.M5;-5?II*MI)>;.MI)>;.Mm)>;.Mm)>;---;VII *M 57mI;-5?m)7mI5۷III *M 5wm)>w-5?w575II-*--5???NI7--->??II -*->?.>.>.>.->?VI*>5w5w5w5I*->?N57575*->?VI?J ?--???----;7->7->IIے --???7mI57mI57mI57---??II *--???7mI57---???.>.>VII --???7mI57mI5?;.M-5?;.--->?II ?*--???7mI57---???. -?7m ->III- --->???.>.--???NI5---???VII *--->???N)>.>.>.>VI M*M 57mI57mI57mI57---??II *M-57---??II M*M 57mI57---5???7mI57mI5۷III**-->??N57575*-->??VII?J -5?w575*M)>;--?IIM*M 7m)7-5?7m;.M)۷III-*>.>.>.>.--5???VII*MI)>?.mI->??7-m)->?7m)M5;7mI 5III -*M 57-M)>?7mm5?;.M)57mI5۷III???---??-VI)J)?--??.M 57---5???7mI5۷III.*--???7mI57--->??7mI57---???VII --???7mI757mI7---??II **--???.M)57mI57mI5?;.--??III-*--->???.>.-->??.>.--->???VII -*--->???.>.-->??.>.>VII --???7mI7mI?;.M-*--->???NI)575II --???7mI5w--5??mI57---??II --???7mI57---5???NI57---??II 7:. -7:.>u wJ >-M????----5????->IIII:??7------>??RIIIJI7-????.----????NI-7I --???.M)>-7*>VI )J)5?.5?.m?J 55555III --???7mI57mI57mI57---??II J5?7-57575*-->??VIIV --???7m ->-?-?---5???III? --???7mI5-->?wI57---??II JJI5?-5m)???7---75I5*--->???.>.--???NI5---???VII - --???7mI7---???7mI57---??II m???.----->??wm5II>J)M:??---7---???Nm5???7---޷IIVJI:7m55mm) I -??. 5w-M:?7m-?7--->?VIIߒ*>. J57575wI *w57575I ) m??w-m:???N-??mmJIJ75---5???w 57JI))>u ---5???JII5IIa d>Sv 4Lp>fq~5^ 5Ol$DmIm 7Xw $ 6 S b   9 P o  K S RI*>.>.>.5I* 57mJJJI:7  I  7  M ?@@@@N:A$"%%"::NA$" "p25150,18:D:*MI5;.MI5;.MI5;.MI5?;w---5?II*MI)>;mI5wm)>w-5?w5II*MII5;.M)M)>;;.M)M)>;;.M-m)>?????-m)-۷III*MI)>?-M-??w-5?--??-M ->;VIII*MI5;.MI5;.MI5?;w---5?wI)>---???MII*---5????NI)---->???III-???7-M)5;.MI5;.MI5;.MI5;VII J--???-M)5;.MI5;.MI5?;w---??VII* -???7-M)5;.MI5;.m -???7m-;.>MIIJ--->???-M 5;.MI5;.m ->???-m57-> * -???.m)757575II --->???.>.--???NI5---???VIIII:.>--->??w)>.>.>.-5?IJ---5????-M ->;.MI)>?---->??NI)>---???MII75757m-???7-M)5;.MI5;.MI5;.MI5;VII 55*>.>.>.>.>V 5-5?w)>.>.>.>-o 55757mI7m)7-5?7m;.M)۷II 55757575757575 * - -?????7m m 57m m 57m m 57m m 5IIII* ***,***F @ UUU,{GUUUF?111? ***-***F |~FFF~\ CF Yy9 ?x>>>> ??FTTT9*9.@   ** UxUU& # *( Q *7PPU7/ ~ ~======`x UU@p<**`xUU@p<** 8>' UUUU@PPUD**``` ** (  (  UU| 0? |UUUP@@@ **`````` *"* (  ( UU QAED**/UUSU% # *(`x`Q*/PPPU/17530(((@@@UU@ ``c **UU**UUp/// **`u@@F@@UU#@p<** f a ! CTT+*>.@  **UxUU # *(Qaye*UP--  LTT4*G.@  **UxU    --->??II )mIm:?;?7mm -;;.MI)>???7---->???7---->7mI)>7-M ->?VIII E ?-----5?????7-----5?????7-----5?????7-----5?????7-----5?????7-----5?????IIII M ?@@@@J---5????;. UUUUUU?qp8K** x| x||xx******YUU@@ss@ACCACgfFUUUUUU|~FF~|K**GgaaagG******xyKUU ~[UUUUUUCgfFK** ;gpy?6K** as300p`<~f******F~|KUU   LUUUUUUqyYXK** `@?3****** KUU 6?|~|@~~UUUUUU````K** |~Fv~|``yy``aa`******CCOOKUU?**** **~[KUUqxYypx| |xUUUUUUpyyqK**@@CgfG@GC13sa******gGGfKUULOGUUUUUU00K** >ccc>?3******FfKUU l| UUUUUUg**7UU%OLLLOG UU#OCOOUU7**%?m **%??0?**7UU" L UU%LLxx0UU7**%?11? **"003311000**7UUMUU" fUU7**M**%x| l |x**7UUMUU%UU7(**CCCCc~`** ?? <<ss3**7UU"|| || || UU|~Fv~| UU7**"@aa``gG **Xy9 `**7UU% UU0??0UU7**%>ccc> **%F~|**7UU%|| UU%yyUU7**%as333sc **%cU aa **#x| |8OM **~CC~qyY**7UU&@003??111?7UUpxXypOM UU7**%?111?v~N**cgfg`gc??111?7**7UU"x|L >> pypxxUUUU7**# cs333sc** C~UU%x| l |xACGffGGFF?111?UU@@@GOL@LOG@@@OOLLLOMUU Aaq9yy **%qs33031|~FFF~\**?1?111?** ACGNLLOOLL UU%GO <~fqyYUU%|~FFF~\U** qs31cg F~|@~~**~cccn@`p00pp00** ??0 ~cccnUU OCCCOOcs333scUUl| UU-l| **%?m`px || @@@OOLLLOM**as300p`yx|~FFF~|UU ?aa`a? ** cgfffG````gg`cfgc|~FFF~\ ** Gg`cfgC`p00yy1110** x| xx |x `UU x| |xYy9 ?? <<@`p00pp00UU UU cg || ||?00?88c~`?UU ````x| |x** @@LLFFCCAGOLO@OG@@1?cgf``@``** 1333scpp|~Fv~|** CCOas303saUUxxxxqyqyy?111?~~FUU LL OO pyq~[?6UU@@@|~FFF~| LL UUcg** >c{>CGLNGC~~FF~~pyY|~Fv~|**  `** ~cccnUU x| |x11aaAcs333q`GOM Xy9UUUU 13sa |x||@```fgCpyyqUU OL@@@x| |x UU|~FF~|@||pxpxx** LL ~cccnCgfffgc** ?1=?qs31~>`?** xygg`cfgc``UUxxxx<<**c~`?~>`?UU``cgf` x| |8  ?? <<UU x| |8qyXxpUUl| x| x||** || ||>cc~`~>cs3x| |x|~FF~|@||** 3ss3~>`?cgfg`gc** 001330``@|~FFF~|~~F**cgfffgc``Cgf```@UU00||000pppyYyq?1cgfffgcUU xyUU** Yy8cgfg`gc?ccc?@@@|~FFF~|** ?ccc?cgfCCff`**CC ``@`@** ~CC~CCUU????900??00`p000p`@aass^LL@@UUYy8<<0?UU pxypYy8** ~>`?~~FFfFOOLLLOMqyyq** Cgf``c77 OOLNOMpx xp =cA |~GG~|CGNLNGC `p99qa 013sa@?30??08?7  saFf66fFCcs3ss3sa@?p`l| b(**?cCc? `@` x x%U ?a@U ?00 |Cc1sa3A3a%x x|* Xx9* ?c?>fFf>@O{3  %s0133q00U U x | xpp`FfF0030q331CCff<  v~N?c?  %?00U 88U f  >ccc~``c>pxp L >ccc~``c>%||@@~*FfF* CC @`@```~c~x x xCfFg11?x `0X0`%l| *@`@``@* a33p0` acfcaFFfcA?`OYAAYO`?fffgfffgfff``?`OYAAYO`?%a33p0`U?a@?`@@a?U LLG@ x x|| 'L O*`p89p`* 000?1? 0? ^*0033033*>||@@~^U x||xU>01a@^* acgfgca*;@@LLFFCA^U ?q`U;^**;c33s3c^U@U> ^(** >cc>?c?UU l| xxxx`0X0`x`0xqxp?c1F|@@~#*9qa*1cffc`g&v~N$U U1F~Fpp>* |~~|*;qCfC>U Cg`gCU>fc>* a`qo*>;g>U000||0p`U< FCc>%U U.@```fC?ml| %**1xx xx x xq33000%UU1?c`1333aL %*@cc`G*/00|0@@@GL@@LG11?%U@A@a_U1*1@3c3U Xx9U1>cc>>`~cc~111111 %* Gf```@@@*. |  | |`%U a@@a_@`?U1ac33a00`%* 9qaxx*.ppLOLLO*xxxxxx*1?00?c?2000p0pU????U1|FF~|8l ?  x| `@LLx LL* v~*1pqq&3333 100?11?U CgfFU1cfgffg8lFFF~FFFUv~N* ?a@aa33s3cxx0?11?U Cg`gCU~F~ | |cc?~x x|* Xx9* 1a3cp6x xs0133q00U U```~c~ ~F@@O@GLLG|6 LL* |~~|*2a`yLLL @@O@GLLGL O*`p89p`*1?c33ccC111?00 qqp?00U 88U|@|FF| |  v~Ncfffgf||@@~*FfF*Xy9 a3cs>cc?~pqp(**?ccc?7?ccc?3c3?c?UUl| @pxpl| x | xl| *@`@``@*a33p0` CcAfgca3300`a3csa33p0`U?a@?`@@a?UGLLG@O@@        pyx**UUUU**0pp0**UUOL@@@UU**?1=?**UU~~xxUU** |x**UU3ss3331UU**GOL@**UU?1UU****UU%UUF~|UUUUUUK**  ******>c{>KUU >c{>|| || UUUUUUl| K**1ss3331******as3`ppKUUOL@@@UU K**?1=?**UU|~|@~~UU**qyYyq******KUU00||000ppUUUUUU;gK** `p000p`******x| |8KUU00||000ppOOLLLOMUUUUUUcs333scK** xqxx?1******GO KUU fggfgc@@@|~FF Cg`gCU* a`qo*U000||0p`U*0033033*U x||xU* acgfgca*U ?q`U**U@U `?UGM* 9qaxx*G99xxXXMU UG0113366<<88M**G~~ ~~MUUG M*@cc`G*U@A@a_U*9qa*U U* |~~|*U*U U*xxxxxx*GppYU????UG M* v~*G || MU CgfFUGM* ?a@*GMU Xx9UGM* Gf```@@@*G `MU a@@a_@U@U(**UU*@`@``@*U?a@?`@@a?U*`p89p`*U 88U*FfF*U ?a@U* Xx9*U U* |~~|*U Cg`gCU* ?a@|*@cc`G*U@A@a_U*9qa*U U* |~~|*U Cg`gCU* a`qo*U000||0p`U*0033033*U x||xU* acgfgca*U ?q`U**U 3013cp ? ?3.* Gf```@@@* L L |@|FF|-|F|.U a@@a_@`?U ?00-pqx.* 9qaxx*~Gfc.U U x | x|** a33103|UU 1qyq% LL* v~* |FFF|@@|xx;gFfF%0?11?U CgfFU!FFfcAx xp000p000p%v~N* ?a@* x x|a31 LGLLLG&U Xx9 xx x%pxpU U~gCg``ffcca` ac33ca333c`#*xxxxxx* L13x x` GLOLLO@@@GLLLOL  000p0pU????U 1|FF@`0 ~`% LL* |~~|* 1ss103CfffFfC  c~``?%0?11?U Cg`gCU  @@>`~cc~| | >cc>>cc?~%|FF|* ?a@* 0?11?@@ p`a33s3a |he study""of physics."%900HH