{"text_format":"1","workbook":"xlsx","n_sheets":5,"sheets":["Menu","Auto in de bocht","Looping","Sateliet","Theorie"],"not_rendered":{"charts":7,"images":12,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

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[]
[null,null,"Cirkelbeweging",null,null,null,null,null,null,null,"vs 30042021"]
[]
[]
[null,null,"Menu"]
[null,null,"1.","Auto in de bocht"]
[null,null,null,"- Vliegt de auto uit de bocht?"]
[null,null,null,"- De straal, snelheid, massa en wrijvings coëfficiënt kunnen ingesteld worden."]
[null,null,null,"- De baan kan zichtbaar gemaakt worden."]
[null,null,null,"- De krachten op de auto kunnen zichtbaar gemaakt worden."]
[]
[null,null,"2.","Looping"]
[null,null,null,"- Een bakje met water wordt rondgeslingerd in een vertikaal vlak."]
[null,null,null,"- Als de snelheid van de emmer te klein is valt het water er uit."]
[null,null,null,"- De baan van het water kan zichtbaar gemaakt worden."]
[null,null,null,"- De krachten op het water kunnen zichtbaar gemaakt worden."]
[]
[null,null,"3.","Satelliet"]
[null,null,null,"Geostationnaire satelliet en een willekeurige satelliet."]
[null,null,null,"Massa, hoogte en horizontale beginsnelheid instelbaar."]
[null,null,null,"Gravitatiekracht kan weergegeven worden."]
[]
[null,null,null,"https://agtijmensen.nl"]

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[null,"Een auto rijdt een rotonde op.",null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,":",3,0.234375,{"$f":"MIN((P1*3600+Q1*60+S1+T1)*I9,W1)","v":12.649115182561294},"(versneld)",{"$f":"IF(AB9>120,AB20+AB15*1/4,1000)","v":12.649115182561294},"= tekentijd",null,null,"R = rotonde",{"$f":"C3","v":51}]
[]
[null,"Straal",{"$f":"E3","v":51},"m",51,null,null,"Baan zien?",{"$f":"IF(AI28=1,\"Ja\",\"Nee\")","v":"Ja"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"U1*V22","v":63.245575912806473},"onvertraagd",null,null,null,null,"v auto",{"$f":"C5","v":25}]
[]
[null,"Snelheid",{"$f":"E5","v":25},"m/s",25,null,null,"Krachten op de auto zien? (Fstuw, Fw (lucht en rol), Fw,dwars)",{"$f":"IF(V23=1,\"Ja\",\"Nee\")","v":"Ja"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"g=",{"$f":"9.81","v":9.81}]
[]
[null,"massa",{"$f":"E7","v":1000},"kg",1000,null,null,"Schaal Fw,dwars aanpassen.                                     1 m ↔",{"$f":"V48","v":130},"N",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Uit de bocht? Ja = 1",{"$f":"IF(W44<V43,1,0)","v":1}]
[]
[null,"wrijvingscoëfficiënt",{"$f":"E9/100","v":0.51},null,51,null,null,"Beweging versnellen met een factor",{"$f":"V22","v":5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"baanstraal =",{"$f":"V45","v":124.92254802022745}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"tx ="]
[null,"Fw,dwars is max",{"$f":"C9*C7*9.81/1000","v":5.0031000000000008},"kN",null,null,null,"Fmpz (Fw,dwars)",{"$f":"C7*C5^2/C3/1000","v":12.254901960784313},"kN"]
[]
[null,"Stopwatch",null,null,{"$f":"((P1*3600+Q1*60+S1+T1)*I9-ROUNDDOWN((P1*3600+Q1*60+S1+T1)*I9/100,0)*100)","v":16.171875},"s",null,"Start beweging",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mx =",{"$f":"-AB1+AB9","v":73.922548020227453}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"tijdvertraging:",null,null,null,null,"T =",{"$f":"2*PI()*AB9/AB3","v":31.396460730245177}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,"f =",{"$f":"1/AB15","v":3.1850723831322467E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,null,null,null,null,"w=",{"$f":"2*PI()/AB15","v":0.20012400000000002}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,5,null,null,null,null,"hoek f",{"$f":"IF(U1<AB20,0,AB17*(U1-AB20))","v":1.5707963267948966},{"$f":"AB18/PI()*180","v":90}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,10,null,null,null,null,"xmin (auto) =",-120]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,20,null,null,null,null,"rotonde bereikt op t =",{"$f":"ABS(AB19)/AB3","v":4.8}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,50,null,null,null,null,"v max =",{"$f":"SQRT(C9*C7*AB5*AB1/C7)","v":15.973668958633143}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,{"$f":"VLOOKUP(U22,U16:V21,2)","v":5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Krachten en par. Zien? Ja = 1",1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Nee: bijtelling x =",{"$f":"IF(V23=1,0,1000)","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"auto",null,"koordlengte = r -",0.03,null,null,"tekentijd",{"$f":"AB20+AB15","v":36.196460730245178}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y","x","y"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"auto",0.05,null,null,null,null,{"$f":"IF(U1<AB20,AB19+AB3*U1,AB9*SIN(AB17*(U1-AB20)))","v":124.92254802022745},{"$f":"IF(U1<AB20,-AB1,-(AB1-AB9+AB9*COS(AB17*(U1-AB20))))","v":73.922548020227438},{"$f":"($AB$1-$AD$25)*COS($AB$17*U1-PI()/2)","v":29.207456417207016},{"$f":"($AB$1-$AD$25)*SIN($AB$17*U1-PI()/2)","v":41.77158591239926},null,null,"dt=",{"$f":"MIN(AB20,AH25/50)","v":0.72392921460490356}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,null,"Tekenkader",null,0,0,null,null,"Baan zien? Ja = 1",null,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AB1*COS(AB17*U1-PI()/2)","v":29.224647386257757},{"$f":"AB1*SIN(AB17*U1-PI()/2)","v":41.796171895867417},null,null,null,null,"x","y",null,null,null,null,"n","t","x","y"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fstuw = 1,08*v^2",{"$f":"1.08*AB3^2","v":675},null,null,null,null,{"$f":"-AB1","v":-51},{"$f":"AA30","v":-51}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schaal: 1N =",0.04,null,null,null,null,{"$f":"AB1","v":51},{"$f":"AB30","v":-51},null,null,null,null,0,{"$f":"MIN(AG31*$AH$27,$U$1)","v":0},{"$f":"IF($AI$28=0,1000,IF(AH31<$AB$20,$AB$19+$AB$3*AH31,$AB$9*SIN($AB$17*(AH31-$AB$20))))","v":-120},{"$f":"IF(AH31<=$AB$20,-$AB$1,-($AB$1-$AB$9+$AB$9*COS($AB$17*(AH31-$AB$20))))","v":-51}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijllengte =",{"$f":"V30*V31","v":27},null,null,null,null,{"$f":"AB1","v":51},{"$f":"AA32","v":51},null,null,null,null,1,0.72392921460490356,{"$f":"IF($AI$28=0,1000,IF(AH32<$AB$20,$AB$19+$AB$3*AH32,$AB$9*SIN($AB$17*(AH32-$AB$20))))","v":-101.90176963487741},{"$f":"IF(AH32<=$AB$20,-$AB$1,-($AB$1-$AB$9+$AB$9*COS($AB$17*(AH32-$AB$20))))","v":-51}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntlengte",6,null,null,null,null,{"$f":"-AB1","v":-51},{"$f":"AB32","v":51},null,null,null,null,2,1.4478584292098071,-83.803539269754822,-51]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntbreedte",6,null,null,null,null,{"$f":"-AB1","v":-51},{"$f":"AB33","v":51},null,null,null,null,3,2.1717876438147106,-65.705308904632233,-51]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntschuine",{"$f":"SQRT(V33^2+(V34/2)^2)","v":6.7082039324993694},null,null,null,null,{"$f":"-AB1","v":-51},{"$f":"AA35","v":-51},null,null,null,null,4,2.8957168584196142,-47.607078539509644,-51]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"halve tophoek =",{"$f":"ASIN(V34/2/V35)","v":0.46364760900080609},null,null,null,null,"cirkelbaan = rotonde",null,null,null,null,null,5,3.6196460730245179,-29.508848174387055,-51]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,null,"wegbreedte =",10,null,null,null,null,6,4.3435752876294211,-11.410617809264465,-51]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$AA$27+$V$24","v":124.92254802022745},{"$f":"AB27","v":73.922548020227438},null,null,null,null,"binnenbocht R1 =",{"$f":"AB1-AB37/2","v":46},null,null,null,null,7,5.0675045022343248,6.6844186790343469,-50.821035184638873]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($U$1<$AB$20,$U$38+$V$32,$U$38+$V$32*COS(AB18))","v":124.92254802022745},{"$f":"IF($U$1<$AB$20,$V$38,$V$38+$V$32*SIN(AB18))","v":100.92254802022744},null,null,null,null,"buitenbocht R2 =",{"$f":"AB1+AB37/2","v":56},null,null,null,null,8,5.7914337168392285,24.62354113814019,-48.549180250767208]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U39-$V$35*COS($AB$18-$V$36)","v":121.92254802022745},{"$f":"V39-$V$35*SIN($AB$18-$V$36)","v":94.922548020227438},null,null,null,null,"binnenbocht",null,"buitenbocht",null,null,null,9,6.5153629314441321,42.046744840472087,-43.711266217797956]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U39","v":124.92254802022745},{"$f":"V39","v":100.92254802022744},null,null,null,null,"dhoek = ",10,null,null,null,null,10,7.2392921460490358,58.588974348118107,-36.408658302832364]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U39-$V$35*SIN(PI()/2-$AB$18-$V$36)","v":127.92254802022745},{"$f":"V39-$V$35*COS(PI()/2-$AB$18-$V$36)","v":94.922548020227438},null,null,null,null,"x","y",null,null,null,null,11,7.9632213606539395,73.903632620710454,-26.794362622072811]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fmpz=",{"$f":"C7*AB3^2/AB1","v":12254.901960784313},null,null,null,0,{"$f":"$AB$38*COS(Z43*$AB$41/180*PI())","v":46},{"$f":"$AB$38*SIN(Z43*$AB$41/180*PI())","v":0},{"$f":"$AB$39*COS(Z43*$AB$41/180*PI())","v":56},{"$f":"$AB$39*SIN(Z43*$AB$41/180*PI())","v":0},null,null,12,8.6871505752588423,87.669843005614624,-15.069820367387209]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fw,dwars =",{"$f":"IF($U$1<$AB$20,0,C9*C7*AB5)","v":5003.1000000000004},{"$f":"C9*C7*AB5","v":5003.1000000000004},null,null,1,{"$f":"$AB$38*COS(Z44*$AB$41/180*PI())","v":45.301156638561572},{"$f":"$AB$38*SIN(Z44*$AB$41/180*PI())","v":7.9878161726787953},{"$f":"$AB$39*COS(Z44*$AB$41/180*PI())","v":55.149234168683648},{"$f":"$AB$39*SIN(Z44*$AB$41/180*PI())","v":9.7242979493480988},null,null,13,9.4110797898637468,99.599172327950441,-1.480687158730646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"r (baan) =",{"$f":"IF(W44=0,100000000000,IF(V43<=W44,AB1,(C7*AB3^2)/W44))","v":124.92254802022745},null,null,null,2,43.225860556151787,15.73292659298076,52.622786764010868,19.153128026237447,null,null,14,10.13500900446865,109.44167421653592,13.688313995483263]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"My =",{"$f":"-AB1+V45","v":73.922548020227453},null,null,null,3,39.837168574084181,22.999999999999996,48.49742261192857,27.999999999999996,null,null,15,10.858938219073554,116.99112604443795,30.119358287966328]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mx =",0,null,null,null,4,35.238044383472989,29.568230045580805,42.89848881466277,35.996106142446195,null,null,16,11.582867433678457,122.08934975840553,47.468178259528983]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"schaalschuifbalk 1 m = . . .N",130,null,null,null,5,29.568230045580812,35.238044383472989,35.996106142446202,42.89848881466277,null,null,17,12.30679664828336,124.62952606605869,65.371276979286662]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"schaal (m/N) =",{"$f":"1/V48","v":7.6923076923076927E-3},null,null,null,6,23.000000000000004,39.837168574084174,28.000000000000007,48.497422611928563,null,null,18,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijllengte =",{"$f":"V44*V49","v":38.485384615384618},null,null,null,7,15.732926592980766,43.22586055615178,19.153128026237454,52.622786764010868,null,null,19,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntlengte",0.1,null,null,null,8,7.9878161726787988,45.301156638561572,9.7242979493481023,55.149234168683648,null,null,20,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntbreedte",0.05,null,null,null,9,2.817841446289826E-15,46,3.430415673744136E-15,56,null,null,21,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,10,-7.9878161726787944,45.301156638561572,-9.724297949348097,55.149234168683648,null,null,22,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(U1<AB20,C9=0),1000,AA27+V24)","v":124.92254802022745},{"$f":"AB27","v":73.922548020227438},null,null,null,11,-15.73292659298076,43.225860556151787,-19.153128026237447,52.622786764010868,null,null,23,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$U$54+$V$50*COS(AB18+PI()/2)","v":86.437163404842835},{"$f":"$V$54+$V$50*SIN(AB18+PI()/2)","v":73.922548020227438},null,null,null,12,-22.999999999999989,39.837168574084181,-27.999999999999986,48.49742261192857,null,null,24,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U55-$V$35*COS($AB$18+PI()/2-$V$36)","v":92.437163404842835},{"$f":"V55-$V$35*SIN($AB$18-$V$36+PI()/2)","v":70.922548020227438},null,null,null,13,-29.568230045580812,35.238044383472989,-35.996106142446202,42.89848881466277,null,null,25,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U55","v":86.437163404842835},{"$f":"V55","v":73.922548020227438},null,null,null,14,-35.238044383472982,29.568230045580815,-42.898488814662763,35.996106142446209,null,null,26,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U55+$V$35*SIN(PI()-$AB$18-$V$36)","v":92.437163404842835},{"$f":"V55+$V$35*COS(PI()-$AB$18-$V$36)","v":76.922548020227438},null,null,null,15,-39.837168574084181,22.999999999999996,-48.49742261192857,27.999999999999996,null,null,27,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fw,lucht =",{"$f":"V30","v":675},null,null,null,16,-43.22586055615178,15.732926592980768,-52.622786764010868,19.153128026237457,null,null,28,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"richtingshoek =",{"$f":"IF(ISERROR(IF(AND(AA27>=0,AB27>-AB1),ATAN((V55-V39)/(U55-U39)),ATAN((V55-V39)/(U55-U39))+PI())),-PI()/2,IF(AND(AA27>=0,AB27>-AB1),ATAN((V55-V39)/(U55-U39)),ATAN((V55-V39)/(U55-U39))+PI()))","v":0.61177554778953269},null,null,null,17,-45.301156638561572,7.9878161726788122,-55.149234168683648,9.7242979493481183,null,null,29,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,-46,5.635682892579652E-15,-56,6.8608313474882721E-15,null,null,30,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijllengte =",{"$f":"V59*V31","v":27},null,null,null,19,-45.301156638561572,-7.9878161726788015,-55.149234168683648,-9.7242979493481059,null,null,31,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntschuine",{"$f":"V35","v":6.7082039324993694},null,null,null,20,-43.225860556151787,-15.732926592980759,-52.622786764010868,-19.153128026237447,null,null,32,{"$f":"MIN(AG63*$AH$27,$U$1)","v":12.649115182561294},124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,-39.837168574084174,-23.000000000000004,-48.497422611928563,-28.000000000000007,null,null,33,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,22,-35.238044383472989,-29.568230045580805,-42.89848881466277,-35.996106142446195,null,null,34,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$AA$27+$V$24","v":124.92254802022745},{"$f":"AB27","v":73.922548020227438},null,null,null,23,-29.568230045580815,-35.238044383472982,-35.996106142446209,-42.898488814662763,null,null,35,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$U$66+$V$62*COS(AB18+PI())","v":124.92254802022745},{"$f":"$V$66+$V$62*SIN(AB18+PI())","v":46.922548020227438},null,null,null,24,-23.000000000000021,-39.837168574084167,-28.000000000000025,-48.497422611928549,null,null,36,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U67-$V$35*COS($AB$18+PI()-$V$36)","v":127.92254802022745},{"$f":"V67-$V$35*SIN($AB$18+PI()-$V$36)","v":52.922548020227438},null,null,null,25,-15.732926592980791,-43.22586055615178,-19.153128026237486,-52.622786764010861,null,null,37,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U67","v":124.92254802022745},{"$f":"V67","v":46.922548020227438},null,null,null,26,-7.9878161726787953,-45.301156638561572,-9.7242979493480988,-55.149234168683648,null,null,38,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U67-$V$35*SIN(PI()/2-$AB$18-PI()-$V$36)","v":121.92254802022745},{"$f":"V67-$V$35*COS(PI()/2-$AB$18-PI()-$V$36)","v":52.922548020227438},null,null,null,27,-8.4535243388694781E-15,-46,-1.0291247021232408E-14,-56,null,null,39,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,7.9878161726787784,-45.301156638561572,9.7242979493480775,-55.149234168683655,null,null,40,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,15.732926592980773,-43.22586055615178,19.153128026237464,-52.622786764010868,null,null,41,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,30,23.000000000000004,-39.837168574084174,28.000000000000007,-48.497422611928563,null,null,42,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U39+V25","v":124.92254802022745},{"$f":"V39","v":100.92254802022744},null,null,null,31,29.568230045580805,-35.238044383472996,35.996106142446195,-42.898488814662777,null,null,43,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U55","v":86.437163404842835},{"$f":"V55","v":73.922548020227438},null,null,null,32,35.238044383472982,-29.568230045580822,42.898488814662755,-35.996106142446216,null,null,44,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U67","v":124.92254802022745},{"$f":"V67","v":46.922548020227438},null,null,null,33,39.837168574084167,-23.000000000000021,48.497422611928549,-28.000000000000025,null,null,45,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"vangrail op y = ",{"$f":"AB24","v":0},null,null,null,34,43.225860556151773,-15.732926592980794,52.622786764010854,-19.153128026237489,null,null,46,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,35,45.301156638561572,-7.987816172678798,55.149234168683648,-9.7242979493481023,null,null,47,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-2.5,{"$f":"V77","v":0},null,null,null,36,46,-1.1271365785159304E-14,56,-1.3721662694976544E-14,null,null,48,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.1000000000000001,{"$f":"V77","v":0},null,null,null,null,null,null,null,null,null,null,49,12.649115182561294,124.92254802022745,73.922548020227438]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,12.649115182561294,124.92254802022745,73.922548020227438]

{"sheet":"Looping","index":2,"n_rows":81,"n_cols":36,"rows_kept":81,"cut":false,"hidden":false,"merged":[]}
[null,"Een bakje met water wordt aan een stang eenparig rondgeslingerd.",null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,":",0,0,{"$f":"(P1*3600+Q1*60+S1+T1)/I7","v":0},"(vertraagd)",null,null,null,null,"r =",{"$f":"C3","v":1}]
[]
[null,"Straal",{"$f":"E3/100","v":1},"m",100,null,null,"Baan zien?",{"$f":"IF(AI26=1,\"Ja\",\"Nee\")","v":"Ja"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"U1*V20","v":0},"onvertraagd",null,null,null,null,"vA = vonder",{"$f":"C5","v":2.2999999999999998}]
[]
[null,"Snelheid",{"$f":"E5/10","v":2.2999999999999998},"m/s",23,null,null,"Krachten op het water zien? (Fbakje, Fz, Fr en Fn)",{"$f":"IF(V21=1,\"Ja\",\"Nee\")","v":"Ja"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"g=",{"$f":"9.81","v":9.81}]
[]
[null,"massa",{"$f":"E7/1000","v":0.01},"kg",10,null,null,"Beweging vertragen met een factor",{"$f":"V20","v":5},3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"hoek (los v.d. wand) =",{"$f":"ASIN(AB3^2/(AB1*AB5))","v":0.56954112863669415},"rad"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"xeind="]
[null,"Stopwatch",null,null,{"$f":"(U1-ROUNDDOWN(U1/100,0)*100)","v":0},"s",null,"Start beweging",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"t (los van de wand):",{"$f":"(PI()/2+AB7)/AB15","v":0.93058150236156134}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"tx ="]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"los van de wand? Ja = 1",{"$f":"IF(AB3^2/(AB1*AB5)<1,1,0)","v":1}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"tijdvertraging:",null,null,null,null,"T =",{"$f":"2*PI()*AB1/AB3","v":2.7318196987737333}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,"f =",{"$f":"1/AB13","v":0.36605636911135925}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,null,null,null,null,"w=",{"$f":"2*PI()/AB13","v":2.2999999999999998}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,5,null,null,null,null,"hoek f",{"$f":"AB15*U1-PI()/2","v":-1.5707963267948966},{"$f":"AB16/PI()*180","v":-90}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,10,null,null,null,"loslaatpunt","x","y"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,20,null,null,null,null,{"$f":"IF(AB11=0,100,AB1*COS(AB7))","v":0.84214850821089915},{"$f":"IF(AB11=0,100,AB1*SIN(AB7))","v":0.53924566768603444}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,50,null,null,null,null,"neerstorttijd op de grond:",{"$f":"(AB3*COS(AB7)+SQRT(AB3^2*COS(AB7)^2+2*AB5*(AB1*SIN(AB7)+-AB22)))/AB5+AB9","v":1.7714231214956122}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,{"$f":"VLOOKUP(U20,U14:V19,2)","v":5},null,null,null,null,"neerstorttijd vertraagd",{"$f":"AB19/V20","v":0.35428462429912244}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Krachten en par. Zien? Ja = 1",1,null,null,null,null,"neerstort x =",{"$f":"AA18-AB3*SIN(AB7)*(AB19-AB9)","v":-0.20071795254383995}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Nee: bijtelling x =",{"$f":"IF(V21=1,0,100)","v":0},null,null,null,null,"laagste punt: y=",-1.3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"t>tlos van wand, Ja: bijtelling =",{"$f":"IF(AB11=0,0,IF(AND(AB11=1,U1>AB9),100,0))","v":0},null,null,null,null,"watermassa:",null,"koordlengte = r -",0.03,null,null,"tekentijd",{"$f":"IF(AB11=0,AB13,AB19)","v":1.7714231214956122}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y","x","y"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"midden bodem",0.05,null,null,null,null,{"$f":"IF(AB25<=AB22,AB21,IF(AB11=0,AB1*COS(AB15*U1-PI()/2),IF(AND(AB11=1,AB15*U1-PI()/2>AB7,U1>AB9),AB1*COS(AB7)-AB3*SIN(AB7)*(U1-AB9),AB1*COS(AB15*U1-PI()/2))))","v":6.1257422745431001E-17},{"$f":"MAX(AB22,IF(AB11=0,AB1*SIN(AB15*U1-PI()/2),IF(AND(AB11=1,AB15*U1-PI()/2>AB7,U1>AB9),AB1*SIN(AB7)+AB3*COS(AB7)*(U1-AB9)-0.5*AB5*(U1-AB9)^2,AB1*SIN(AB15*U1-PI()/2))))","v":-1},{"$f":"($AB$1-$AD$23)*COS($AB$15*U1-PI()/2)","v":5.9419700063068066E-17},{"$f":"($AB$1-$AD$23)*SIN($AB$15*U1-PI()/2)","v":-0.97},null,null,"dt=",{"$f":"AH23/50","v":3.5428462429912246E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,null,"Tekenkader",null,0,0,null,null,"Baan zien? Ja = 1",null,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AB1*COS(AB15*U1-PI()/2)","v":6.1257422745431001E-17},{"$f":"AB1*SIN(AB15*U1-PI()/2)","v":-1},null,null,null,null,"x","y",null,null,null,null,"n","t","x","y"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fz = m*g =",{"$f":"C7*AB5","v":9.8100000000000007E-2},null,null,null,null,{"$f":"-AB1","v":-1},{"$f":"AA28","v":-1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schaal: 1N =",2,null,null,null,null,{"$f":"AB1","v":1},{"$f":"AB28","v":-1},null,null,null,null,0,{"$f":"MIN(AG29*$AH$25,$U$1)","v":0},{"$f":"IF($AI$26=0,100,IF($AB$11=0,$AB$1*COS($AB$15*AH29-PI()/2),IF($AB$11=1,IF(AH29<$AB$9,$AB$1*COS($AB$15*AH29-PI()/2),$AB$1*COS($AB$7)-$AB$3*SIN($AB$7)*(AH29-$AB$9)))))","v":6.1257422745431001E-17},{"$f":"IF($AB$11=0,$AB$1*SIN($AB$15*AH29-PI()/2),IF($AB$11=1,IF(AH29<$AB$9,$AB$1*SIN($AB$15*AH29-PI()/2),$AB$1*SIN($AB$7)+$AB$3*COS($AB$7)*(AH29-$AB$9)-0.5*$AB$5*(AH29-$AB$9)^2)))","v":-1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijllengte =",{"$f":"V28*V29","v":0.19620000000000001},null,null,null,null,{"$f":"AB1","v":1},{"$f":"AA30","v":1},null,null,null,null,1,{"$f":"MIN(AG30*$AH$25,$U$1)","v":0},{"$f":"IF($AI$26=0,100,IF($AB$11=0,$AB$1*COS($AB$15*AH30-PI()/2),IF($AB$11=1,IF(AH30<$AB$9,$AB$1*COS($AB$15*AH30-PI()/2),$AB$1*COS($AB$7)-$AB$3*SIN($AB$7)*(AH30-$AB$9)))))","v":6.1257422745431001E-17},{"$f":"IF($AB$11=0,$AB$1*SIN($AB$15*AH30-PI()/2),IF($AB$11=1,IF(AH30<$AB$9,$AB$1*SIN($AB$15*AH30-PI()/2),$AB$1*SIN($AB$7)+$AB$3*COS($AB$7)*(AH30-$AB$9)-0.5*$AB$5*(AH30-$AB$9)^2)))","v":-1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntlengte",7.4999999999999997E-2,null,null,null,null,{"$f":"-AB1","v":-1},{"$f":"AB30","v":1},null,null,null,null,2,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntbreedte",3.7499999999999999E-2,null,null,null,null,{"$f":"-AB1","v":-1},{"$f":"AB31","v":1},null,null,null,null,3,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"pijlpuntschuine",{"$f":"SQRT(V31^2+(V32/2)^2)","v":7.7308230480331142E-2},null,null,null,null,{"$f":"-AB1","v":-1},{"$f":"AA33","v":-1},null,null,null,null,4,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"halve tophoek =",{"$f":"ASIN(V32/2/V33)","v":0.24497866312686412},null,null,null,null,"cirkelbaan",null,null,null,null,null,5,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,null,"dhoek = ",10,null,null,null,null,6,0,6.1257422745431001E-17,-1]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,-0.8660254037844386,-0.50000000000000011,null,null,null,null,29,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,22,-0.76604444311897801,-0.64278760968653925,null,null,null,null,30,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U48+V23","v":6.1257422745431001E-17},{"$f":"V48","v":-1},null,null,null,23,-0.64278760968653947,-0.7660444431189779,null,null,null,null,31,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"V56*COS(V54+PI())+U60","v":1.537561310910318E-16},{"$f":"V56*SIN(V54+PI())+V60","v":-0.69800000000000006},null,null,null,24,-0.50000000000000044,-0.86602540378443837,null,null,null,null,32,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U61+V57*COS(V54-V34)","v":-1.8749999999999867E-2},{"$f":"V61+V57*SIN(V54-V34)","v":-0.77300000000000013},null,null,null,25,-0.34202014332566938,-0.93969262078590821,null,null,null,null,33,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U61","v":1.537561310910318E-16},{"$f":"V61","v":-0.69800000000000006},null,null,null,26,-0.17364817766693033,-0.98480775301220802,null,null,null,null,34,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U61+V57*COS(V54+V34)","v":1.8750000000000145E-2},{"$f":"V61+V57*SIN(V54+V34)","v":-0.77300000000000013},null,null,null,27,-1.83772268236293E-16,-1,null,null,null,null,35,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"parallellogram",null,null,null,null,28,0.17364817766692997,-0.98480775301220813,null,null,null,null,36,0,6.1257422745431001E-17,-1]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,30,0.50000000000000011,-0.8660254037844386,null,null,null,null,38,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U37+V23","v":6.1257422745431001E-17},{"$f":"V37","v":-1.1961999999999999},null,null,null,31,0.64278760968653925,-0.76604444311897812,null,null,null,null,39,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U49","v":6.7738458071897605E-17},{"$f":"V49","v":-0.89419999999999999},null,null,null,32,0.76604444311897779,-0.64278760968653958,null,null,null,null,40,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U61","v":1.537561310910318E-16},{"$f":"V61","v":-0.69800000000000006},null,null,null,33,0.86602540378443837,-0.50000000000000044,null,null,null,null,41,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"grond op y = ",{"$f":"AB22","v":-1.3},null,null,null,34,0.93969262078590809,-0.34202014332566943,null,null,null,null,42,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,35,0.98480775301220802,-0.17364817766693039,null,null,null,null,43,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-2.5,{"$f":"V71","v":-1.3},null,null,null,36,1,-2.45029690981724E-16,null,null,null,null,44,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.1000000000000001,{"$f":"V71","v":-1.3},null,null,null,null,null,null,null,null,null,null,45,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fn op de grond",null,null,null,null,null,null,null,null,null,null,null,46,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","y",null,null,null,null,null,null,null,null,null,null,47,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($V$21=1,$AB$25=$AB$22),$AB$21,100)","v":100},{"$f":"$AB$22","v":-1.3},null,null,null,null,null,null,null,null,null,null,48,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($V$21=1,$AB$25=$AB$22),$AB$21,100)","v":100},{"$f":"$V$77+$V$30","v":-1.1038000000000001},null,null,null,null,null,null,null,null,null,null,49,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($V$21=1,$AB$25=$AB$22),$AB$21+$V$32/2,100)","v":100},{"$f":"$V$77+$V$30-$V$31","v":-1.1788000000000001},null,null,null,null,null,null,null,null,null,null,50,0,6.1257422745431001E-17,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($V$21=1,$AB$25=$AB$22),$AB$21,100)","v":100},{"$f":"$V$77+$V$30","v":-1.1038000000000001}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND($V$21=1,$AB$25=$AB$22),$AB$21-$V$32/2,100)","v":100},{"$f":"$V$77+$V$30-$V$31","v":-1.1788000000000001}]

{"sheet":"Sateliet","index":3,"n_rows":129,"n_cols":56,"rows_kept":129,"cut":false,"hidden":false,"merged":[[39,1,39,2]]}
[null,"Een satelliet in een cirkelbaan om de aarde",null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,":",0,0,{"$f":"((P1*3600+Q1*60+S1+T1)*I9)","v":0},"(versneld in s)",null,null,null,null,"R(0) sateliet",{"$f":"C3","v":40056135.971593395},"m"]
[]
[null,"r(0)",{"$f":"0.5*AB21+0.5*AB21/10*E3","v":40056135.971593395},"m",9,null,null,"Geostationnaire satelliet zien?",{"$f":"IF(AI26=1,\"Ja\",\"Nee\")","v":"Nee"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"U1/I9","v":0},"onvertraagd in h",null,null,null,null,"v satelliet bij cirkel",{"$f":"C5","v":3751.8023144857943},"m/s",{"$f":"AB22","v":3075.2477987588477}]
[]
[null,"v(0):",{"$f":"0.5*AD3+AD3/150*E5","v":3751.8023144857943},"m/s",108,null,null,"Kracht op de satelliet zien? (Fg)",{"$f":"IF(V21=1,\"Ja\",\"Nee\")","v":"Nee"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"g=",{"$f":"9.81","v":9.81}]
[]
[null,"massa:",{"$f":"E7","v":1000},"kg",1000,null,null,"Schaal aanpassen: Fg: 1 hokje ↔",{"$f":"V44","v":100},"N",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"G =",6.6726000000000003E-11,null,null,null,null,null,null,null,null,null,null,"willekeurige sateliet"]
[]
[null,{"$f":"IF(ISERROR(AQ26),\"Satelliet\",\"Omlooptijd:\")","v":"Omlooptijd:"},{"$f":"IF(ISERROR(AQ26),\"verloren!\", AQ26)","v":49.39232267992876},{"$f":"IF(ISERROR(AQ26),\"\",\"h\")","v":"h"},null,null,null,"Beweging versnellen met een factor",{"$f":"V20","v":6000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m satelliet = m'",{"$f":"C7","v":1000},null,null,null,null,null,null,null,null,null,null,null,null,"v(cirkel) = ",{"$f":"SQRT(AP13/(AB9*AB1))","v":3155.1376688249397}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"tx ="]
[null,"Stopwatch",null,null,{"$f":"(P1*3600+Q1*60+S1+T1)*I9/3600","v":0},"h",null,"Start beweging",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"maarde =",5.9760000000000004E+24,null,null,null,null,null,null,null,null,null,null,null,null,"vmax (ellips) =",{"$f":"SQRT(2*AP13/(AB9*AB1))","v":4462.0384824064604}]
[]
[null,{"$f":"IF(ISERROR(AQ25),\"Hyperboolbaan, satelliet verdwijnt in de ruimte!\",IF(AND(AQ23=1,C3=AB21,ABS(C9-AB13)<0.000000001),\"Geostationnaire cirkelbaan\",IF(AQ23=1,\"Cirkelbaan\",IF(AP15<1,\"Ellipsbaan\",IF(AP15=1,\"paraboolbaan\")))))","v":"Ellipsbaan"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"tijdversnelling",null,null,null,null,"Taarde =",23.93,"h",null,null,null,null,null,null,null,null,null,null,null,"b = GMm =",{"$f":"AB7*AB9*AB11","v":3.98754576E+17}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1000,null,null,null,null,"R aardopp ",6378000,null,null,null,null,null,null,null,null,null,null,null,null,"E = 1/2mv0^2 -b/r0 =",{"$f":"1/2*AB9*AB3^2-AP13/AB1","v":-2916883405.747592}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2000,null,null,null,null,"waarde =",{"$f":"2*PI()/(AB13*3600)","v":7.2934778604025468E-5},null,null,null,null,null,null,null,null,null,null,"r = p/(1+ecos(f))",null,"e = wortelabs((2Em'a^2/b^2 + 1)) =",{"$f":"IF(ISERROR(SQRT(2*$AP$14*$AB$9*$AO$21^2/$AP$13^2+1)),0,SQRT(2*$AP$14*$AB$9*$AO$21^2/$AP$13^2+1))","v":0.41397999999924784},"kleiner 1?",{"$f":"IF(AP15<1,\"ellips\",\"hyperbool\")","v":"ellips"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3000,null,null,null,null,"Tgeostat. sateliet =",{"$f":"AB13","v":23.93},"h",null,null,null,null,null,null,null,null,null,"p =ma^2/b =",null,{"$f":"AB9*AO21^2/AP13","v":56638575.141083494},null,null,{"$f":"1-AP15","v":0.58602000000075216}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4000,null,null,null,null,null,{"$f":"AB16*3600","v":86148},"s",null,null,null,null,null,null,null,null,null,"E<0 dan |e| <1 dan ellips",null,null,{"$f":"2*$AP$14*$AB$9*$AO$21^2/$AP$13^2+1","v":0.17137944039937725}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,10000,null,null,null,null,"w=",{"$f":"2*PI()/AB17","v":7.2934778604025468E-5},null,null,null,null,null,null,null,null,null,null,"E>0 dan |e| >1 dan hyperbool"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"aardoppervlak",null,null,null,null,null,9,0,110000000000,0,null,null,9,0.56548667764616278,41968959.978100665,35435564.913786829,22488093.313667461,null,3628.8551897008592,2690492.9887032998,741.41646553966996,{"$f":"SUM(AU$29:$AU38)","v":6960.4402078397916},0,40056135.971593395,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dhoek = ",{"$f":"10/180*PI()","v":0.17453292519943295},null,null,null,null,10,0,110000000000,0,null,null,10,0.62831853071795862,42428541.45927389,34325411.087094612,24938870.946040958,null,3600.3830998069579,2730065.8679449311,758.27093735977962,{"$f":"SUM(AU$29:$AU39)","v":7718.7111451995715},0,40056135.971593395,0]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fg, max =",{"$f":"AB7*AB9*AB11/AO28^2","v":248.52356493641287},"N",null,null,0,{"$f":"$AB$36*COS($AB$15*$U$1+Z41*$AB$39)","v":6378000},{"$f":"$AB$36*SIN($AB$15*$U$1+Z41*$AB$39)","v":0},{"$f":"IF($AI$26=1,$AB$21*COS(Z41*$AB$39),10000000000)","v":10000000000},{"$f":"$AB$21*SIN(Z41*$AB$39)","v":0},null,null,12,0,110000000000,0,null,null,12,0.75398223686155041,43508613.856476724,31716414.523964044,29783695.698419984,null,3534.9889998079052,2822502.7275465396,798.4473863143329,{"$f":"SUM(AU$29:$AU41)","v":9294.398796145555},0,40056135.971593395,0]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1 hokje =",{"$f":"10000000","v":10000000},"m",null,null,2,5993359.5353725236,2181404.4741311152,{"$f":"IF($AI$26=1,$AB$21*COS(Z43*$AB$39),10000000000)","v":10000000000},{"$f":"$AB$21*SIN(Z43*$AB$39)","v":14421058.280080892},null,null,14,0,110000000000,0,null,null,14,0.87964594300514221,44813225.970798895,28565025.291816227,34529184.062004469,null,3458.6880306966214,2933448.0306511791,848.13894881995111,{"$f":"SUM(AU$29:$AU43)","v":10964.567300458557},0,40056135.971593395,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1 hokje =",{"$f":"V43/V48","v":100},"N",null,null,3,5523510.0253371503,3188999.9999999995,{"$f":"IF($AI$26=1,$AB$21*COS(Z44*$AB$39),10000000000)","v":10000000000},{"$f":"$AB$21*SIN(Z44*$AB$39)","v":21082176.827154417},null,null,15,0,110000000000,0,null,null,15,0.94247779607693805,45553886.865200058,26775902.88396439,36853868.633780546,null,3416.6025409077788,2996166.4524380271,876.94322548913067,{"$f":"SUM(AU$29:$AU44)","v":11841.510525947688},0,40056135.971593395,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fg(t) =",{"$f":"V49/V43","v":2.4852356493641286},"hokjes",null,null,4,4885831.4582128422,4099699.3745807474,{"$f":"IF($AI$26=1,$AB$21*COS(Z45*$AB$39),10000000000)","v":10000000000},{"$f":"$AB$21*SIN(Z45*$AB$39)","v":27102724.099431075},null,null,16,0,110000000000,0,null,null,16,1.0053096491487339,46355847.880333416,24838705.398252964,39139536.875688896,null,3371.987697883103,3063875.662646445,908.62599070865906,{"$f":"SUM(AU$29:$AU45)","v":12750.136516656346},0,40056135.971593395,0]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"schuifbalk 1-11",7,null,null,null,6,3189000.0000000009,5523510.0253371494,10000000000,36515401.398782685,null,null,18,0,110000000000,0,null,null,18,1.1309733552923256,48151239.679554611,20501800.71874078,43568544.271836244,null,3275.4879551340787,3214703.9754726505,981.44277112478653,{"$f":"SUM(AU$29:$AU47)","v":14674.966393548651},0,40056135.971593395,0]
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{"sheet":"Theorie","index":4,"n_rows":64,"n_cols":30,"rows_kept":64,"cut":false,"hidden":true,"merged":[]}
[]
[null,"De horizontale worp zonder luchtweerstand"]
[]
[null,"1.","Theorie:"]
[null,"Bij een horizontale worp voert een voorwerp twee bewegingen tegelijk uit:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"vx =",{"$f":"C15","v":4}]
[null,"-","Een eenparige beweging in de horizontale richting:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"g =",9.81]
[null,null,"x(t) = vx . t",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"t","x(t)","y(t)"]
[null,null,"vx is de constante snelheid in de x-richting",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"$AB$5*AA8","v":0},{"$f":"0.5*$AB$6*AA8^2","v":0},{"$f":"-AC8","v":0}]
[null,"-","Een eenparig versnelde beweging in de verticale richting:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.1,0.4,4.905000000000001E-2,{"$f":"-AC9","v":-4.905000000000001E-2}]
[null,null,"y(t) = 1/2gt2",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.2,0.8,0.19620000000000004,-0.19620000000000004]
[null,null,"g is de valversnelling (9,81 ms-2)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.3,1.2,0.44145000000000001,-0.44145000000000001]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.4,1.6,0.78480000000000016,-0.78480000000000016]
[null,2,"Voorbeeld:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5,2,1.2262500000000001,-1.2262500000000001]
[null,null,"Je gooit een bal weg vanaf 5,0 m hoogte met een horizontale snelheid van",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.6,2.4,1.7658,-1.7658]
[null,null,4,"m/s",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.7,2.8,2.4034499999999999,{"$f":"-AC15","v":-2.4034499999999999}]
[null,null,"Waar komt de bal op de grond?",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.8,3.2,3.1392000000000007,{"$f":"-AC16","v":-3.1392000000000007}]
[null,"-","Als de bal op de grond komt is y(t) = 5,0",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.9,3.6,3.9730500000000006,{"$f":"-AC17","v":-3.9730500000000006}]
[null,null,"y(t) = 1/2gt2",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,4,4.9050000000000002,{"$f":"-AC18","v":-4.9050000000000002}]
[null,null,"5,0 = 1/2.9,81.t2"]
[null,null,"t =  1,00 s"]
[null,"-","Hoe ver is de bal dan gegaan in horizontale richting:"]
[null,null,"x(t) = vx . t"]
[null,null,"x(t) = ",{"$f":"C15","v":4},". 1,00 =",{"$f":"D23*1","v":4},"m"]
[]
[null,null,"Hieronder zie je de x(t) - t grafiek en de y(t) - grafiek"]
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[null,null,"De baan van de bal is hier onder getekend."]
[null,null,"Een hokje in de tekening is 0,5 m"]
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[null,"3.","Controleer met de schuifbalk dat vx geen invloed heeft op de valtijd en dus ook niet op de y(t) - t grafiek!!!!!!!!!"]