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Q`HH`%$ `,.HL;0Q) i@`i ^j}} }} !"#$%&'()*+A,-.}/0123456789:;<=>}?@ABCDE@F@G@H@I@J@K@L@M@N}@O""PQINFO 4/19/83 COPYRIGHT CDC*R1A=AU/B -* AP8B@HA8-Press }Π to continue.7  7, AP'3+31 AP47)9BA(A($-ON '3-OFF }69)O B-"B@r@#=-H E L P I N D E XOB@H@Gv- 1. KEY USAGE)B@H@c}H-2. USING THE CALCULATORZB@H@yv-3. RULES OF THE QUIZ0B@H@0-4. SELECT A PROBLE}MF  +B@HAF-5. RETURN TO PROBLEM &@1B@rA51-CHOOSE AN OPTION -> F} 71 AR$72. A`1973C ApF, 74R09 7) AP,635*!*}" AQ (R0&, 6 AQZ B-_] B]-$The following keys will be available# everywhere u}nless otherwise noted:dVB@H@28-TO: PRESS:DA@BVCA@Bn`B@H@H}`-Continue ........ Π" Review .......... ̭ҠxbB@H@db-Access Data .....} ̭Ġ" Question/Help ... ̭Ѡ`B@H@`-Return to INDEX . ̭ " Exit }lesson ..... ̭ؠ{B@HA9-Turn Sound ON/OFF ̭ӠKB@$A(_- SOUND IS NOWi AP}{B@$AR}C-A=@4/CTRL-A=@4/ means to press the letterUB@$A`}- while holdi}ng the CTRL key down.2  AP7*7% AP(2 ASz B-\ B'-TO USE THE CALCULATOR}:3B@$\-!First, locate the +, -, *, /, andHB@2H-"^ keys in the right quarter of the keyboard}._B@V_-Then find the parentheses signs$ above the 9 and 0 on the top row of_B@r_-!the ke}yboard. To type these signs" you just hold down the SHIFT key.JBAD-Now try typing the expression: }(3+5*2)/4JR0GR0@4!B@2A 1-A=A%/=BA#G-->VB@2A#R0 +BA}617; AP>V7 (3+5*2)/4Aa= R0&!:-!No. Press Π to try again.=A>-Not qu}ite, but let's continue. Press Π.A? 7*7 AP$3. A`1? Aa  A`p}9BA69-"Good. Press Π to continue., 7*7 AP,3Aa B-[ B}[- Also, you can make superscripts.$ Locate the ^ key. Shifted * is theTT-" exponent key ^. Your first p}ress enters superscript mode. AfterOO-! typing the superscripted numbers (the exponent) the ^ key alsoT(}- returns back to normal mode.4B@T-For example, to write 24=BA@w-131BA@}=-*3.1$_*- type 24, then ^13^, then *3.1.6BA_-!Try typing some superscripts now.._--" Pre}ss Π when you are done.9BA6C-->UB@2A6[R0_ 87*7APB8 B-B@r}8-CALCULATOR FUNCTIONSLcA@!CA@-B@$c-Addition ........ + Subtraction ..}... -VTT- Multiplication .. * Division ........ / Exponentiation .. ^`PB@rP-Absolute val}ue .. ABS( ) Square root ..... SQRT( )jbb- e to Xth power .. EXP(X) Log base 10 ..... LOG( ) Natura}l logarithm LN( )tOBA O-Sine ......... .. SIN( ) Cosine .......... COS( )~GG- Tangent ........}. TAN(X) Arctangent ...... ARCTAN( )?+- X degrees ....... X ̭Ϡ5 AP? APb B-g}YBA#- INTRODUCTION/B@2Y-"The main purpose of the quiz is tolVV- see if you can answer class}ical& physics problems correctly. A secondvMM-% purpose is to see whether you really understand the problem.}`B@`-!The amount of information you re-# quest indicates to some extent howD,-! well you understan}d the problem.6 APD7AP B-oB@V@7-INFORMATION ABOUT THE QUIZCB@$o-}$Each problem consists of four steps:[B@@[-1. Description of situation," 2. Question about the situ}ation,AA- 3. Request and receipt of more information,RR- 4. Computation of the problem# an}d evaluation of your answer._B@_-You start a problem by reading% the situation. Then you are asked a}V- question about it.*BA(V-$The description of the situation hasSS-! not provided all the informat}ion" necessary to answer the question.gO-% You must decide what information you need to work the problem.Y }APg7Ap B-_B@_-"You will be given some cash to buy! this data and will be char}ged $2VV-$ for each item that you request. To" request the data that you need toVV- work the problem, you} press the& ̭Ġ key. You will see a ProblemVV-" Information display, which allows$ you to specify items }of information W!- that you wish to see.-B@W-"Word your requests for informationKK-" as simply as} possible and request only one item at a time. `BA `-"Although you may request up to six" pieces of i}nformation, do not re-*SS- quest anything that you do not$ really need as you will have to pay4+- for it.} AP+7ApU9 B->`B@`-"The Formulas and Constants display" lists formulas and cons}tants thatHHH-% can be used for working the problem. The list costs $5.R_B@H_-After you have recei}ved all the$ information you need to compute the\LL- problem, a calculator will be available for you to work }outfRR- the answer. Then you type the# answer at the 'ANSWER ->' point onpSS-# the screen. Your answer is }evalu- ated. Note that there is a twoz[[-% percent leeway for rounding off your& answer. If your answer is i}ncorrect,S- you are charged $5.+BA`S- To get started let's try an easy,,-! sample problem. Pres}s Π.,  7 AP,3+3As 7 Aq5R0 -0I=A0/I=A2/)#@1}- #I=A8/&@. D2:PQINFO1 B'fFjn}} }} !"#$%&'()*+A,-.}/0123456789:;<=>}?@ABCDE@F@G@H@I@J@K@L@M@N}@O* PQCALC - CALCULATOR!!4/19 COPYRIGHT (C) 1983 CDC] R0R0R0R0!R0'R0-R03R09}R0?R0ER0KR0QR0WR0]R0Q R0R0R0R0!R0'R0-03R09R0?R0ER0KR0QR0W} R0R0R0R0!R0'R0-R03R09R0?R0ER0KR0QR0WR0K R0R0R0R0!R0'R0-R}03R09R0?R0ER0KR0K R1R1R1R1!R1'R1-R13R19R1?R1ER1KR1K R1R1}R1R1'R;/0;/3R;/0;/?R;/0;/KR;/0;/KR;/0;/R;/0;/'R;/0;/3R;/0;/?R;/0;/KR};/0;/ B-0B@@10-C A L C U L A T O ROB@dAg5-Press ̭Ҡ to leave.}AB@cO- -> iB@@@`%-A=A$/7B@@@cG-A=A$/YB@@yi-A=A}$/&CR0@4R0'B@@@c-R01 77?R0&C 3AP4 R1R09 A`}. R09R0R0E=/R0.R;/0@K 0R1:?/$40+29. AQ15AR0@K AY}"AYR1:?/R0&7.AR40+29AR4A+2ZAS# 7R0@ } AT(>R0H=()+-*/^??/"'R0'1 AT4> AQO-- LITERALP R1ZR1:?/d!!.50 }*69/+3.AR@i R0&R1 ARxC R0&R;/0D=/R0' AQCPICKED OUT ENTIRE LITERAL R1 }CR1:?/5A*6Z& AS0)1R0&9R1C AS& R09&PICKED OUT ENTIRE LITERAL 7ABSR0 } AT7SQRTR0 AT 7EXPR0 AT 7LOGR0 AT 7LNR0 AT } 7SINR0 AT# 7COSR0@# AT# 7TANR0@# AT&7ARCTANR0@}& AT" !R0 AY&!!-- IS OPERATOR UNARY MINUS?'" ##+;/"R0@* R0R1, } R0;/. AY1;/";/AX6#@AY; R0'@;/#AQH-- ELSE PERFORM O}PERATIONJ R0;/R0L !"R0' R0;/M"'AUAUAUAUAU AU%AU0}AU5AU@AUEAUPAUUAU`AUeAUpAUuAUO AT |R;/0&)R;/0')}R;/0%) #R0)R;/0()R;/0$)R;/0U=/) !R0)R;/0S=/)}R;/0P=/)R;/0R=/)R;/0Q=/)R;/0M=/)R;/0K=/)##OV(VP)=SIN(SS)/COS(TS):RETURN}R;/0M=/(K=/)R;/0J=/)R;/0(@W)WyP))R;/0')- R0&"@#R0@- A}Y R;/0 AQB@@y %  %-I don't understand.%'-=;/'BAv@y}(- Press Π.*  7R0& ,7AP. AY0p<<- ERROR _=/ OCCU}RED AT LINE _=@/z  AP-0I=A0/I=A2/)#@1- #I=A8/&@. }D2:PQCALC1 B'fjQ}} }} !"#$%&'()*+A,-.}/0123456789:;<=>}?@ABCDE@F@G@H@I@J@K@L@M@N }@O * PQPROB1 - SAMPLE PROBLEM!!4/19 COPYRIGHT (C) 1983 CDC] R0R0R0R0!R0'R0-R03R!}09R0?R0ER0KR0QR0WR0]R0Q R0R0R0R0!R0'R0-03R09R0?R0ER0KR0QR0"}W R0R0R0R0!R0'R0-R03R09R0?R0ER0KR0QR0WR0K R0R0R0R0!R0'R#}0-R03R09R0?R0ER0KR0K R1R1R1R1!R1'R1-R13R19R1?R1ER1KR1K R1R$}1R1R1'R;/0;/3R;/0;/?R;/0;/KR;/0;/KR;/0;/R;/0;/'R;/0;/3R;/0;/?R;/0;%}/KR;/0;/SR1secondsR0@!M%K)K-K1K=R0@IR0@S(A` NN@ R0^=/&}#AA$O20&&&6'<#@C R0^=/#AA$O20&&&6'<#@C) N'}N&@)*#AA'#AA*)PB@@U5-A......................BANA(}MNAP)20@AN+N&@/2)Z(B@@G%-20 m/s ()d'BAC@1)}'- 400 metersf9A@@F'C@@69CA2@6h9AA@6'CAt@69CAt*}@Fl)n)x))))))AB@@A-$How long does it take for the car to8+}B@@8-go from point A to point B?)7B@r@7-The problem is to find the7B@r,}@7-time to drive from A to B.)"R0@ 'R0(@P2% TOLER,B@A16 #R-};/08&&-Good work! Press Π.@ AUSOUNDB""-No. Hint: You need theC0B@A90.}-distance and speed!ER;/0;/'@F ASHOW CASHHJ 3ATP^) B-/}!;/#!R;/0@!R;/0;/'@! AU?B@@?-"Ask for the following0} information:B@@9S+- What is the average speed of theS- car? (Just asking for Ġ-1} will do.) B@@q -andiB@@?-"What is the distance the car trav-i-" eled? 2} (Asking for Š is- enough.)#B@AC#-Press:\0-% Π for general informati3}on or\-$ ̭Ҡ to continue this problem.  7 ) 7R0 A AUu B-4}M8 ;/!B@@8-ҠˠԠŮUB@@#@-#The answer to the sample problem 5}isU- 20 seconds.lB@@G?-"To work this problem, all you needl-% to know is the SPEED of the c6}ar and##- the DISTANCE traveled.kB@A5=- Now, you will see an index page,k-& where you can7} choose the problem you - want to work next.,B@Au,-Press Π.8  7R09 8}!7+ A .8 AVUM"AW AW%S)X)&-Average velocity is 20 m/s.))]%"-Distance is 4009} meters.%)- )- )-V=a*t)-F=m*a)-F=m*a)- ):}- )0-X=a*t -2# --/20)-X=V*t)-   )- ;})N-f*t=M(v !-f% 0--v4 >-iB K-)N): -v -f ,-=<}v0 :-i)  -2 &-+2a*X)))6 -*$@I=@/&@$3-6)3-=}g=9.8m  -2$ 0-/sec3)-P=m*V)))1-KE=m*v  -2$ .-/21)>}R1SPE& ACR1VEL& ACR1RATE ACR1FAST AC R?}1DIST& AC!R1LEN& AC" R1FAR AC* ACNO MATCHp770,62,73,255@},255,255,113,0,0,0,0,224,240,224,192,0-0I=A0/I=A2/)#@1- #I=A8/&@/ D2:PQA}PROB12 B'fsl99h R `S0ੀ S0֠ـ`LwC}D} E}F} !"#$%&'()*+A,-.G}/0123456789:;<=>H}?@ABCDE@F@G@H@I@J@K@L@M@NI}@OP)R0B=I=A0// AP)* PQUIZ$$4/19/83 COPYRIGHT (C) 1983 CDC #@L=@/'J}) #@L=@/&)A#AfA) 0E=/:#B55&%&C=:?//>A)!TR0@@ R0I=A`K}/&+R0I=/&KR0I=@/(&L=@/%'TR0E=/"= 0#&&%C=:?//#:$@I=@/&=)#eR1L}0HH0R0@( @0/R15R1DR0I=@/SR0L=@/YR0_!eR0-: #L=/#,R1A=L=BM}Rx&L=///:7A02U7A=A&/!R1A=@0/$*7-,4R098 ;A7K AEU @E76 7A=/*7N}*7*7*7*7&B,R06 A<M7A=@0/R0E=/!(R12 @E5=R0'C#JR1M>6 "O}R1:?'/B3- A=A&/6Ae7A=@/+# @#27A=@/6>R0&AIR0'LSRP}0)[R1e @EC99.5 *6z/*..50*69/+3-+3.+/@EDZB E=/ FAP*0@Q}.8FB @E^+ B-R0&!R1+ @EnH BR0R1$R0E=/-R0E=/3R0?BR}@UH-*x$R1:?/R0&  *7$ 5".5A*6Z/+).40+29/, A /50NR1:?/0&S}7&( Ap+37*= A`@N3A "R0 -R1:?/R0&  #- AR)T} "R0 !R1:?/)0&7AbT   R1:?/#R0&140+29; At>T5A*U}4ZA0 At440+29 A45A*6ZA0-R1:?/R0&  #- AV}O E=/R1:?/%4a+2z>R:?/1A=C=/'@2/AIR0&LO)P #L=/#$#B7t@d6#@W}@d9PR1A=L=BRx&L=/// 7 AE3)8#A#A'#A -B4-8MLBX}@P@t9-RETURNING TO THE TITLE PAGE.C A2L*D:GO9BA`2- I/O ERROR _=/ AT _=/6Y}99 R0)F@(0@,6F9)B@U- )6 0%)c9FAPZ}%0@)3F69))_=/#@0 A#) A2X#A#A?"(B/-[}AB@W@tX-NOW PREPARING 9$A$A% A)K-K1K5K9MA A2#9'-\} CALCULATOR.7R1 D1:PQCALCA A@6 !-PROBLEM INDEX./R1 D1:PQMENU6R09. #- HELP SECTION..]}R1 D1:PQINFO M "-PROBLEM .%!+R01R048>R0AGR0JM : R0'R0-R1D@=/:^}PQPROB@=/7 A:FR0I=A6/,I=/!AP9R0&L=&/<F A265@$R0I=&/'I_}=&/6R0I=&/'I=&/0 55&#AR0 A VR B-"B@H@H@-Place PHYSIC`}S DISK #RB@H@V`_%-in place of disk #'.7B@H@rY-When done, press Π._#ja}8 L=/R:?/1@='/%B,-2"8R0o'"+!@'R:?/1@=/tRB@e@t9-NOWb} PREPARING PROBLEM .>H AR A@v? ;/!R;/0*B@$@<-$;/ ?)K Kc}KKM) !*" AP R0,M APMB"-, AP-M B-!#A-d}#A3 ACA 'AA A3CAO #BA+-SAMPLE PROBLEM.:BA2L-e}PROBLEM O # AP0 A P AP% AP0AB@@A-$Press Π to start the pf}roblem.L  3 A E,B@@<-A=A$/F AQLR0 AP`8 R0R0;?/- g}AR&;?/%5R0&8 AS4mA@X!C@X@1-A@W?C@W@1KC@1QC]Aq}B'DOS SYSB}-AUTORUN SYSB GO BHRT OBJB<PQINFO B!PQCALC B)PQPROB1 BuBPQUIZ BPQMENU B6PQPROB3 B6PQPROB2 B9HPQPROB4 @1cCm A>mR0@HBAQ>-Help.............. ̭ѠJBAYm-Data.............. r}̭ĠCaBAg2-Formulas/constants ̭Ơ>BAua-Calculator........ ̭̠HT ;/#BArs}AQ*-($5)-6;/#HBArAgT-($5)RdB@A)- ;B@AZt}-ANSWER > d B\<B@AR0!R0'R0+ 178R09< f9 7 M$Au}%#A/ AU9 A p= 7 AA7A=/) AH,279R09= I 3 A!E=/!)v} A!0,6 A!0?R0D=/I B. ;/!$A$#A. AV6 AT;/ $A,#Aw}6 AVEBA1-A=A$/+BA9;-A=A$/E A!0,M B- $A,#Ax} AS`sB@@66-What do you want to know?a-# (One item at a time) COST=$2/ITEMsB@y}AYj#-Press ̭Ѡ for help,5B@dAgX-̭̠ for calculator, orjB@dAug-z}̭Ҡ when done.';/#9BAAYG- ($5),JVR0@y\R0gR0;?/'A B@ R0;?/. {}AW&%6R0&>R0&A@ ABeB@@@R%-A=A$/1B@UI- ->A=A$/UR0@1|}[R0aR0e DX 7 AAb"R0.B@c>-A=A$/N-A=A$/X AYE8 7 A }}7#R09' *83AA`L AU AA R0 AC R0 AC R0 AC R~}0 AC R0 AC R0 AC R0 AC R0 AC R0 AC R0 AC} R0 AC R0 ACB@@c. !$-I don't understand.. AAb"ACe} R0R0;?/, ;?/# AA`!)R0&,! R0&R;?/0!R;?/0/B@R0&%R;/}0;/'/ AU  AW&% AA`# ;/#R;/0#R;/0;/'t2R1A=A&/fffA=/A=}/>R0@H @0^R1A=/jR0@1t @0R/>/>/>/>/>@8}/>/>/>/>/>/>@8/%%>/>/>@/>@$/SS>;@?@/0S=@ %F(;@?//dNN;@?@/0@(%;@?}/%A(;@?@/x66;@?@/0V=A%N=@//&A66;@?/0V=@%N=}@//&@66;@?@/0V=A%N=@//&A66;@?@/0V=@P%N=@//&@E}77;@?@/09@'V=@0%N=@//66;@?@/0V=@%N=@//&@66;@?}@/0V=@%N=@//&@>>;@?@/0;@?@/%;@?/,>>;@?@/0};@?@/%;@?@/@>>;@?@/0;@?@/%;@?@/h66;@?/0V}=@ %N=@//&@|66;@?@/0V=AP%N=@//&A 66;@?@/0V=A%N=@}//&ATT;@?@/0;@?/%S=;@?@/(;@?@//66;@?@/0V=@}%N=@//&@KK;@?@/0@%%S=;@?@/(;@?@//MM;@?@/0S}=;@?@/(;@?@//(.@%/ 00..;?/0V=;?/%A&?P/(A}  lQQ7,1,1,1,2,2,2,2,3,3,3,3,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,0,0,6,6TYR1?`gfg`?  R0* }@0IR11GHHG1<#88#<OR0Y @0^"#A@B"-]A@$@'C@$A}9CAAKCA@]C@$@]A@%@'C@%A9CAAKCA@} ]C@&@ ]A@2@'C@2A9CAAKCA@]C@3@]A@3}@'C@3A9CAAKCA@]C@4@]A@@@$'C@@@9}CA@KCA@$]C@@@$]A@A@%'C@A@9CAy@KCAy@%}]C@A@%]A@B@&'C@B@9CAx@KCAx@&]C@B@&]A@C}@''C@C@9CAw@KCAw@']C@C@'+BA@9+- P H Y S I C S}'BA'@c'- ELEMENTARY&BA'@q&- MECHANICS}B@A.-COPYRIGHT  1983@B}APA5K-]B@qAQ}-CONTROL DATA CORPORATION eB@AY0-ALL RIGHTS RESERVED}BB@cAue-Press Π to continue. "  7 "3AX 7 B-"B@U@97-} ADAPTED FROM:b ,B@@U,-P H I Z Q U I Zl dB@c@q3-A PROBLEM-SOLVING TESTEB@c@y}d-IN ELEMENTARY MECHANICSv 5B@1A5-Written by Brad Peterson 3B@1A53-Revised }by Dennis Kane 8B@cAu8-Press Π to continue. ;  7 A 7* A0-;3A}@ - B-"BAB@-- UBA@9)- CONTROL DATA;B@@UU-PLATO (R)} software 4B@c@y4-PLATO is a trademark of!5B@c@5-CONTROL DATA CORPORATION !.B@}A.-COPYRIGHT  1983!5B@cA55-CONTROL DATA CORPORATION !0B@AQ0-All righ}ts reserved*!8B@cAu8-Press Π to continue.4!5  7 7$ A'53A!1 }B-"BA'@1-CREDITS!BB@@9B-%OSS BASIC A+ Copyright (c) 1982, 1981!;B@}@G;-by Optimized Systems Software.!=B@A=- PHYSICS is adapted from PHIZQUIZ!9B@A}9-written by Brad Peterson and!@B@A@-#Dennis Kane while at the University!;B@A';-}of Illinois, Champaign-Urbana.!8B@cAu8-Press Π to continue.!A  7 A $3+}3. Ap17R0A A<#R0@&@&@&@&@&@&@&@&@ &@&@}&@&@&@&@F#R0@&@&@&@&@&@&@&@&@ &@&@}&@&@&@&@P#R0@&@&@&@&@&@&@&@&@ &@&@}&@&@&@&@-0I=A0/I=A2/)#@1- #I=A8/&@-D2:PQU}IZ0 B'fR  S0ੀ S0֠ـ`Lws 3h R  S0ੀ S0֠ـ`Lw!}!} !}!} !"#$%&'()*+A,-.!}/0123456789:;<=>!}?@ABCDE@F@G@H@I@J@K@L@M@N!}@OPR0B=I=A0//* PQMENU!!4/11 COPYRIGHT (C) 1983 CDC] R0R0R0R0!R0'R!}0-R03R09R0?R0ER0KR0QR0WR0]R0Q R0R0R0R0!R0'R0-03R09R0?R0ER0!}KR0QR0W R0R0R0R0!R0'R0-R03R09R0?R0ER0KR0QR0WR0K R0R0R0R!}0!R0'R0-R03R09R0?R0ER0KR0K R1R1R1R1!R1'R1-R13R19R1?R1ER1KR1!}K R1R1R1R1'R;/0;/3R;/0;/?R;/0;/KR;/0;/KR;/0;/R;/0;/'R;/0;/3R;/0;!}/?R;/0;/KR;/0;/lR1R0@( @0.B6-H#A@Z#A@l#A !}2B@H2-РҠϠ ̠Š͠ɠΠĠŠؠ>B@@1>-!1.Car (sample) 6.Plane to Cuba:!}B@@U:-2.Cannon on cliff 7.SatelliteAB@@yA-$3.Falling object 8.Turbine and ball?B!}@A?-"4.Cannon in field 9.Mass on spring-B@A'--5.Block on planeR0@9R0R!}0 0B@2R0&@$R0U=;//R0&-$+ ;/R0&@(- *DONE*+!}R0@90BAvR0&@$R0U=;//R0&-$+ ;/R0&@(-!} *DONE*+ AB@AEA-$ ?B@AS?-You have c!}ompleted  problems. 2B@Aa2- You have $ left.(@B@Au@-#Pick a problem or pres!}s ̭Ѡ ->- 7AU751*69AQe< R0D=/F1#A #A'#A1 A|!}* INDEX HELP5 B-#A )#A5#AAB@@#A-$From the PROBLEM INDEX you may!} chose//-$ any of the problems to try next or---" to review. To choose a problem,..-# press the numb!}er of that problem.AB@@cA-$When you have completed this lesson,$$- press ̭ؠ to exit.A!}B@@A-$To return to the index page from any00-% point in a problem, press ̭ .=B@A!}Q=- For more help, press Π or**- press ̭Ҡ for the Index. APAUSE7AP!}3AUp R0 A-0I=A0/I=A2/)#@1- #I=A8/&@. D2:PQMEN!}U1 B'f R  S0ੀ S0֠ـ`Lw j %}%} %}%} !"#$%&'()*+A,-.%}/0123456789:;<=>%}?@ABCDE@F@G@H@I@J@K@L@M@N%}@O * PQPROB3 - FALLING OBJECT!!4/19 COPYRIGHT (C) 1983 CDC] R0R0R0R0!R0'R0-R03R%}09R0?R0ER0KR0QR0WR0]R0Q R0R0R0R0!R0'R0-03R09R0?R0ER0KR0QR0%}W R0R0R0R0!R0'R0-R03R09R0?R0ER0KR0QR0WR0K R0R0R0R0!R0'R%}0-R03R09R0?R0ER0KR0K R1R1R1R1!R1'R1-R13R19R1?R1ER1KR1K R1R%}1R1R1'R;/0;/3R;/0;/?R;/0;/KR;/0;/KR;/0;/R;/0;/'R;/0;/3R;/0;/?R;/0;%}/KR;/0;/GR1 meters/secondR0!M%K)K-K1K=R0@FG(A` NNF R0^=/#AA%}$O80&&&@<'B#FRR0@gR0^=/*#AA0OD0&&&@H'N#R%})TNAU!AA#@53CA#@ECA@QNAT)'#AA'#AA%}BAR@#"-TABLE4BAR@iA-FLOORSAA@"eCA)@"wCA)@2%}CA@2KAA@h'CA@h9CA@xKCA@x)9AA#@`'CA%}#@9CAv@%BA@%-OBJECT 2%B@T@q%-OBJECT 1)]R0A%}R0#0@%+R0&/?KAA'%@P@]CA@Q?AA#@3-CA#@5&C%}NAU'%?uJN9NQ)Z*B@@`'-;?/ kg*)d*BA@'-;?/ kg*)n.B%}A@@@+-;?/ meters.)x))))))qB@@@-#What was the SPEED of%} OBJECT 1 justRB@@n-as it hit the FLOOR?q)hB@r@7-The problem is to find theIB@r%}@h-final speed of object 15B@r@#2-as it hits the floor.5)"R0;?/VFFR'R0%}(@P2% TOLER,B@A16"'+!&R;/08M&-Did you ever consider going8B@ACM-%} into physics?@ AUBR -That's not a possible2B@A9R-answer. Press Π.ER;%}/0;/'@F ASHOW CASHHJ L3ATP^) B-M<;/#!R;/0@%}/R;/0;/'9 AU<lB@@A-$In this problem the mass of object 1l-# is exerting a force %}on the SYSTEM- of the two masses.iB@@G=- From Newton's second law you cani-$ find accel%}eration if you know bothP,-! the force and the total mass onP- which the force is acting.kB@@%}?-"Using the appropriate formula, youk-$ can compute the final speed if you00-% know the distance and acce%}leration.#B@AC#-Press:_0-% Π for general information_-' OR ̭Ҡ to continue%} this problem.  7 ) 7R0  AUu B-M> ;/!B@@@>-%}ҠˠԠŮMB@@#7-The answer to problem 3 isM-  .mB@@G%}?-"To work this problem, all you needm-& to know is the DISTANCE traveled andE/-$ the MASS of OBJECT 1, a%}nd the MASSE- of OBJECT 2.,B@Au,-Press Π.  7R09 A!7A %}& AVUM__"AW AW%AW0AW5AW@AWEAWPAWUAW`AWeAWpS)X*'-&}Mass object 1: ;?/ kg*)]*'-Mass object 2: ;?/ kg*)b1.-Distance of fall: ;?/ meters1)&}g.+-Time of fall: ;?/ seconds.)l30-Tension of string: ;?/ newtons3)q-*-Acceleration: ;&}?/ m/sec2-)v.+-Coefficient of friction: ;?/.){"- Mass1/Mass2: ;?/")30-%The mass of the pu&}lley is negligible.3)9#-Which mass? Mass one or6- mass two?9)%"-The initial speed is 0.%)-&} )- )-v=a*t)-x=v*t))- )-F=u*N)-F=m*a)&}- )- )-w=m*g)L -v -f ,-=v0 :-i>&} B L-2 -+2a*x)))'- g=9.8 m/sec $-2')7-KE=m*v  -2$ &}4-@/27)))-PE=m*g*h)R1OBJ& AY`R1WEI& AY`R1M&}ASS& AY`R1BLOCK AY`R1DIST& AC R1Y ACR1LENG&& } AC R1FAR ACR1HEI& AC R1HIGH AC!R1TALL & }AC"R1VERT& AC#R1FALL AC$R1DROP AC*R1TIME A& }C,!R1TENSION !AC.R1ACC& AC0 R1FRICT&  AC1!R1SMOOTH& !& }AC2 R1MU AC3 R1RESIS&  AC4R1RATIO AC5R1SPE& AC& }6R1VEL& AC7R1FAST AC8R1RATE AC9 ACH R1ONE &}ACI R11 ACJR1FIRST ACM R1TWO ACN R12 AC&}O R1SECOND  ACR R1PULLEY  AC S R1ROLLER  AC T R1MOMENT  AC &}W ACp8831,35,69,249,137,138,140,248,40,56,40,40,56,16,0,0-0I=A0/I=A2/)#@1- #I=&}A8/&@/ D2:PQPROB32 B'f$8j*}*} *}*} !"#$%&'()*+A,-.*}/0123456789:;<=>*}?@ABCDE@F@G@H@I@J@K@L@M@N*}@O!!* PQPROB2 - CANNON ON CLIFF!!4/19 COPYRIGHT (C) 1983 CDC] R0R0R0R0!R0'R0-R03*}R09R0?R0ER0KR0QR0WR0]R0Q R0R0R0R0!R0'R0-03R09R0?R0ER0KR0QR*}0W R0R0R0R0!R0'R0-R03R09R0?R0ER0KR0QR0WR0K R0R0R0R0!R0'R*}0-R03R09R0?R0ER0KR0K R1R1R1R1!R1'R1-R13R19R1?R1ER1KR1K R1*}R1R1R1'R;/0;/3R;/0;/?R;/0;/KR;/0;/KR;/0;/R;/0;/'R;/0;/3R;/0;/?R;/0;*}/KR;/0;/QR1 meters/second#R0@'M+K/K3K7K;KGR0@VQ(A` NNF R0^=/#*}AA$O80&&&@<'B#FI R0^=/#AA$O80&&&@<'B#F* }I)NA0)'#AA'#AAA@w@2'CA@29CA@HKCA*!}@I]CA@3oCA@2AA@ICA@crCA@'AA@I9C*"}A@cKCA@]A@w@oCA@r)N@)x R00@-R0A0'*#}%@CR0A7&@%\R09.?%$@/bNjNt AxN9@)Z-BA(@#*$}*-;?/ m/s -)d*BAV@c'-;?/ kg*)n*B@r@'-;?/ kg*)x)))*%})))QB@@?-"At what SPEED is the cannon movingQB@@_/-$along the railr*&}oad tracks due to theAB@A\-recoil of the shot?_)jB@r@7-The problem is to find the*'}IB@r@j-speed of the cannon along=B@r@#:-the tracks due to the recoil.=)"R0;?/*(}VCAN'R0(@P2% TOLER,B@A16"'+!&R;/08!!-Fine. Press Π.@ *)}AUSOUNDB -That's not a possibleC5B@A95-answer. Press Π.ER;/0;/'@F**} ASHOW CASHHJ L3ATP^) B-M<;/#!R;/0@/R;/0;/'*+}9 AU<nB@@@-#You use conservation of momentum ton-& solve this problem. Conservation of*,}]/-$ momentum means that the product of]-& mass and initial velocity equals the00-% product of mass and f*-}inal velocity.kB@@q=- Note that the track on which thek-& cannon is riding is considered to beL*.}/-$ frictionless and that the ball wasL- fired horizontally.#B@AC#-Press:_0-% */}Π for general information_-' OR ̭Ҡ to continue this problem.  7 ) 7R0 A*0} AUu B-M> ;/!B@@@>-ҠˠԠŮMB@@#7-*1}The answer to problem 2 isM-  .kB@@G?-"To work this problem, all you needk-$ to *2}know is the HORIZONTAL SPEED ofQ+- the ball and the MASSES of theQ-@ cannonball and cannon.,B@*3}Au,-Press Π.  7R09 A!7A & AVUMOO"AW AW%AW0*4}AW5AW5AWEAWPAWUAW`S)X52-Ball's horizontal speed: ;?/ m/s5)]/,-Mass of*5} cannonball: ;?/ kg/)b+(-Mass of cannon: ;?/ kg+)g-*-The ball is fired horizontally.-)q[.-*6}#Consider the air resistance and theX-" track friction to be negligible.[)vH%-Which velocity? vertical,E-*7} horizontal, or muzzle?H){- Which mass?)-*-That's what you must determine.-)- )-*8} )-v=a*t)-w=m*g)-  ) -)< -m -1 *-*9}*v. 8-1< ;-=m -2 +-*v/ 8-2;)@-F=(G*m  -1$ .-*:}m2 <-2@ ,-/r -2 )-),)))D-G=6.7*10 $--11( 4-*;} Nm8 A-2D)M-Y=Yo+V !-yo% 1-t+a5 ?-yC M-t" -2 -*<}/2")- ))L -v -f ,-=v0 :-i> B L-2 -*=}+2a*x))- g = 9.8 m/sec &-2))))-PE=m*g*h)R1SPE& AY@R*>}1VEL& AY@R1RATE AY@R1FAST AY@R1MASS AYuR1WE*?}I& AYuR1HEAVY AYu R1VERT& AC!R1HEI& AC"R1HIGH*@} AC#R1TALL AC%R1ANG& AC&R1DIR& AC'R1SLOP& *A}AC(!R1INCLIN& !AC*R1FRIC& AC+!R1SMOOTH& !AC, R1RESIS&*B}  AC- R1MU AC. AC4 AY`AC5 AYpAC 6 AYP*C}AC7 AC>R1INIT& )?R1START )@R1BEGIN& )A R1OLD )B*D}R1HOR& C)HR1BALL )IR1C&BALL )JR1SHEL& )KR1SHOT )*E}LR1MU**LE )RR1CAN& )S R1GUN )W AY`ACX AYpACY A*F}Cp66127,131,131,255,70,239,79,70,0,0,24,60,60,24,0,0-0I=A0/I=A2/)#@1- #I=A8/&@*G}/ D2:PQPROB22 B'f(+j&e.I}.J} .K}.L} !"#$%&'()*+A,-..M}/0123456789:;<=>.N}?@ABCDE@F@G@H@I@J@K@L@M@N.O}@O!!* PQPROB4 - CANNON IN FIELD!!4/19 COPYRIGHT (C) 1983 CDC] R0R0R0R0!R0'R0-R03.P}R09R0?R0ER0KR0QR0WR0]R0Q R0R0R0R0!R0'R0-03R09R0?R0ER0KR0QR.Q}0W R0R0R0R0!R0'R0-R03R09R0?R0ER0KR0QR0WR0K R0R0R0R0!R0'R.R}0-R03R09R0?R0ER0KR0K R1R1R1R1!R1'R1-R13R19R1?R1ER1KR1K R1.S}R1R1R1'R;/0;/3R;/0;/?R;/0;/KR;/0;/KR;/0;/R;/0;/'R;/0;/3R;/0;/?R;/0;.T}/KR;/0;/JR1metersR0@ M$K(K,K0K4K@R0@J(A` NNI R0^=/#A.U}A$O80&&&@<'B#FI))#AA'B@@d6R1c -!Since the .f}horizontal component ofi-# the velocity is constant, you canU,-! use it and the time to find theU-! dista.g}nce. (You may want to askI(- yourself WHY the horizontalI- component is constant.)#B@AC#-.h}Press:_0-% Π for general information_-' OR ̭Ҡ to continue this problem. APAUSE.i} 7 ) 7R0 A AUu B-M> ;/!B@@@>-Ҡ.j}ˠԠŮMB@@#7-The answer to problem 4 isM-  .lB@@G?-"To wor.k}k this problem, all you needl-% to know is the MUZZLE SPEED and the - ANGLE of elevation.,B@Au.l},-Press Π. APAUSE 7R09 A!7A & AVUMWW"AW AW%.m}AW0AW5AW@AWEAWPAWUAW`AWeS)X/,-Muzzle speed: ;?/ meters/s/)]2/-.n}Initial X speed: ;?/ meters/s2)b2/-Initial Y speed: ;?/ meters/s2)g63-Angle of cannon axis: .o};?/ degrees6)l/,-Mass of cannonball: ;?/ kg/)q.+-Highest point: ;?/ meters.)vU,-!T.p}he cannonball landed at the sameR- height as the cannon muzzle.U){/,-!I'm leaving the hard work to you!/)D&.q}-Consider the air resistanceA- to be negligible.D)'$-The cannon is stationary.'))- .r})L -V -y *-=V. 9-yo= I--g*tL)-F=m*a) -_)- .s} )M-v=(v -1" --+v1 ;-2? J-)/2M)- T=2 l/g)- .t} ))L -v -f ,-+v0 :-i> B L-2 -+2a*x)'-.u} g=9.8 m/sec $-2'))- )H-KE -i ,-+PE0 :-i> H-.v}=<-KE -f ,-+PE0 9-f<)-x=v*t)))-PE=m*g*h)R1.w}SPE& AYPR1VEL& AYPR1RATE AYPR1FAST AYPR1MASS.x}& AY6R1WEI& AY6R1HEAVY AY6R1ANGLE ACR1DIR&.y} AC  AYpAY@!R1INIT& AC" R1OLD AC#R1START A.z}C$ R1BEGIN&  AC%R1TIME AC&R1FRIC& AC ' R1MU AC .{}( R1RESIS&  AC ) AC0 AY`AC1 AC4 AY`AC5 R1CANNON.|}  AC6 R1GUN AC8 AC> AY`AC? AYpACAR1MUZ& .}}ACC ACHR1BALL )IR1BULLET )JR1SHELL )KR1&BALL .~})LR1SHOT )RR1VERT& )SR1HEI& )TR1HIGH )UR1TALL .})V R1Y )p0,0,0,24,24,0,0,0-0I=A0/I=A2/)#@1- #I=A8/&@/ .}D2:PQPROB42 B'f,