From 2f863403510163d196a9925422f659faeb2c0762 Mon Sep 17 00:00:00 2001 From: Guyot Date: Thu, 14 Mar 2019 10:44:35 +0100 Subject: [PATCH] =?UTF-8?q?Encore=20une=20partie=20du=20chapitre=20=C3=A9n?= =?UTF-8?q?ergie=20OF=20de=20faite.=20Mise=20en=20place=20du=20chapitre=20?= =?UTF-8?q?de=20physique=20th=C3=A9orique.=20Encore=20pas=20commenc=C3=A9?= =?UTF-8?q?=20celui-ci.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Annexe-ChuteLune/Annexe-ChuteLune.aux | 24 +- Annexe-Energies/Annexe-Energies.aux | 36 +- Annexe-Exercices/Annexe-Exercices.aux | 132 +- Annexe-Incertitudes/Annexe-Incertitudes.aux | 44 +- Annexe-MRUA/Annexe-MRUA.aux | 26 +- Annexe-Maree/Annexe-Maree.aux | 88 +- .../Annexe-MesuresDistances.aux | 48 +- Annexe-Relativite/Annexe-Relativite.aux | 42 +- Annexe-Rotations/Annexe-Rotations.aux | 22 +- Annexe-Satellites/Annexe-Satellites.aux | 24 +- .../Annexe-SystemeCoordonnees.aux | 34 +- .../Annexe-TravauxPratiques.aux | 92 +- .../Annexe-UnitesInternationales.aux | 48 +- CoursMecaniqueOS.pdf | Bin 12445132 -> 12455345 bytes CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot | 36 +- CoursMecaniqueOSDF-gnuplottex-fig1.tex | 323 +- CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot | 25 + CoursMecaniqueOSDF-gnuplottex-fig2.tex | 104 + CoursMecaniqueOSDF.aux | 1 + CoursMecaniqueOSDF.dvi | Bin 1669324 -> 1690180 bytes CoursMecaniqueOSDF.idx | 792 ++--- CoursMecaniqueOSDF.lof | 144 +- CoursMecaniqueOSDF.log | 300 +- CoursMecaniqueOSDF.lot | 35 +- CoursMecaniqueOSDF.pdf | Bin 12445132 -> 12455345 bytes CoursMecaniqueOSDF.ps | 3015 +++++++++-------- CoursMecaniqueOSDF.tex | 3 + CoursMecaniqueOSDF.tex.bak | 3 + CoursMecaniqueOSDF.toc | 412 +-- EnergieOS/EnergieOS.aux | 13 +- EnergieOS/EnergieOS.tex | 69 +- EnergieOS/EnergieOS.tex.bak | 69 +- PhysiqueTheorique/PhysiqueTheorique.aux | 48 + PhysiqueTheorique/PhysiqueTheorique.tex | 5 + PhysiqueTheorique/PhysiqueTheorique.tex.bak | 5 + Thermodynamique/Thermodynamique.aux | 76 +- 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label "Écart type" at 39.4,100 rotate by 90 - set arrow 2 from 44.1,120 to 44.1,0 head filled - set label "Écart type" at 44.4,138 rotate by -90 - set arrow 3 from 41.9,120 to 41.9,0 head filled - set label "Moyenne" at 42.2,80 rotate by -90 + #set label "Écart type" at 39.4,100 rotate by 90 + #set arrow 2 from 44.1,120 to 44.1,0 head filled + #set label "Écart type" at 44.4,138 rotate by -90 + #set arrow 3 from 41.9,120 to 41.9,0 head filled + #set label "Moyenne" at 42.2,80 rotate by -90 #set grid #set title "Baguettes d'une année" # suppression de la légende - set key off + #set key off + set key right bottom # légendes des axes - set xlabel "Longueur des baguettes (en cm)" - set ylabel "Nombre de baguettes" rotate by 90 + set xlabel "Distance (m)" + #set ylabel "Gravitation" rotate by 90 # largeur des colonnes (boxes) #set boxwidth 0.1 - + #set arrow from graph 1,0 to graph 1.05,0 size screen 0.025,15,60 filled ls 11 +#set arrow from graph 0,1 to graph 0,1.05 size screen 0.025,15,60 filled ls 11 +set xzeroaxis +G=6.67E-11 +M=1.99E30 +m=5.97E24 +F(x)=-G*M*m/x**2 +E(x)=-G*M*m/x # tracé du graphe - plot "Annexe-Incertitudes/Images/baguettesgauss.dat" with boxes + plot E(x) title "Énergie potentielle (J)", F(x) title "Force de gravitation (N)" diff --git a/CoursMecaniqueOSDF-gnuplottex-fig1.tex b/CoursMecaniqueOSDF-gnuplottex-fig1.tex index f7e1dee..b718be3 100644 --- a/CoursMecaniqueOSDF-gnuplottex-fig1.tex +++ b/CoursMecaniqueOSDF-gnuplottex-fig1.tex @@ -4,101 +4,240 @@ \sbox{\plotpoint}{\rule[-0.200pt]{0.400pt}{0.400pt}}% \begin{picture}(1500,900)(0,0) \sbox{\plotpoint}{\rule[-0.200pt]{0.400pt}{0.400pt}}% -\put(151.0,131.0){\rule[-0.200pt]{4.818pt}{0.400pt}} -\put(131,131){\makebox(0,0)[r]{$0$}} +\put(190.0,131.0){\rule[-0.200pt]{4.818pt}{0.400pt}} +\put(170,131){\makebox(0,0)[r]{$-1\times10^{46}$}} \put(1419.0,131.0){\rule[-0.200pt]{4.818pt}{0.400pt}} -\put(151.0,235.0){\rule[-0.200pt]{4.818pt}{0.400pt}} -\put(131,235){\makebox(0,0)[r]{$20$}} 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44.1,0 head filled + set label "Écart type" at 44.4,138 rotate by -90 + set arrow 3 from 41.9,120 to 41.9,0 head filled + set label "Moyenne" at 42.2,80 rotate by -90 + #set grid + #set title "Baguettes d'une année" + # suppression de la légende + set key off + # légendes des axes + set xlabel "Longueur des baguettes (en cm)" + set ylabel "Nombre de baguettes" rotate by 90 + # largeur des colonnes (boxes) + #set boxwidth 0.1 + + # tracé du graphe + plot "Annexe-Incertitudes/Images/baguettesgauss.dat" with boxes diff --git a/CoursMecaniqueOSDF-gnuplottex-fig2.tex b/CoursMecaniqueOSDF-gnuplottex-fig2.tex new file mode 100644 index 0000000..f7e1dee --- /dev/null +++ b/CoursMecaniqueOSDF-gnuplottex-fig2.tex @@ -0,0 +1,104 @@ +% GNUPLOT: LaTeX picture +\setlength{\unitlength}{0.240900pt} +\ifx\plotpoint\undefined\newsavebox{\plotpoint}\fi +\sbox{\plotpoint}{\rule[-0.200pt]{0.400pt}{0.400pt}}% +\begin{picture}(1500,900)(0,0) +\sbox{\plotpoint}{\rule[-0.200pt]{0.400pt}{0.400pt}}% 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Underfull \hbox (badness 10000) in paragraph at lines 8--9 [][] \T1/cmr/m/n/10 est de par-courir [] -[127 - - +[131 ] @@ -2799,7 +2834,7 @@ File: ./Thermodynamique/Images/Celsius_Fahrenheit.eps Graphic file (type eps) <./Thermodynamique/Images/Celsius_Fahrenheit.eps> File: ./Thermodynamique/Images/Celsius_Kelvin.eps Graphic file (type eps) -<./Thermodynamique/Images/Celsius_Kelvin.eps> [128] [129] +<./Thermodynamique/Images/Celsius_Kelvin.eps> [132] [133] File: ./Thermodynamique/Images/Paliers.eps Graphic file (type eps) <./Thermodynamique/Images/Paliers.eps> @@ -2809,7 +2844,7 @@ Overfull \hbox (16.7091pt too wide) in paragraph at lines 189--190 [][] [] -[130] +[134] Underfull \hbox (badness 10000) in paragraph at lines 215--235 [] @@ -2824,22 +2859,22 @@ Underfull \hbox (badness 10000) in paragraph at lines 238--262 [] -) [131] [132] +) [135] [136] \openout2 = `ThermodynamiqueOS/ThermodynamiqueOS.aux'. (./ThermodynamiqueOS/ThermodynamiqueOS.tex -Chapter 10. +Chapter 11. -LaTeX Warning: Reference `thermometreagaz' on page 133 undefined on input line +LaTeX Warning: Reference `thermometreagaz' on page 137 undefined on input line 17. -LaTeX Warning: Reference `thermometreagaz' on page 133 undefined on input line +LaTeX Warning: Reference `thermometreagaz' on page 137 undefined on input line 17. 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On parle alors [] -[137] +[141] Underfull \hbox (badness 1838) in paragraph at lines 338--341 \T1/cmr/m/n/10 On peut main-tenant com-parer les valeurs en [] -[138] +[142] Underfull \hbox (badness 10000) in paragraph at lines 376--377 []\T1/cmr/m/n/10 A tem-péra-ture con- [] @@ -2884,7 +2919,7 @@ Underfull \hbox (badness 1354) in paragraph at lines 390--392 \T1/cmr/m/n/10 aussi de deux autres manières. A l'aide de [] -[139] [140] +[143] [144] Underfull \hbox (badness 2486) in paragraph at lines 450--451 []\T1/cmr/m/n/10 L'approche in-tu-itive nous ayant ap-pris par [] @@ -2897,7 +2932,7 @@ Overfull \hbox (1.63432pt too wide) in paragraph at lines 472--473 Underfull \vbox (badness 4673) has occurred while \output is active [] - [141] + [145] File: ./Thermodynamique/Images/DiagTravailPV.eps Graphic file (type eps) <./Thermodynamique/Images/DiagTravailPV.eps> @@ -2905,19 +2940,19 @@ Underfull \hbox (badness 4634) in paragraph at lines 525--526 []\T1/cmr/m/n/10 Pour un gaz par-fait, l'énergie to-tale des [] -[142] +[146] Underfull \hbox (badness 1033) in paragraph at lines 546--547 []\T1/cmr/m/n/10 Cela con-stitue le principe d'équipartition de [] -[143] +[147] -LaTeX Warning: Reference `diagrammepv' on page 144 undefined on input line 593. +LaTeX Warning: Reference `diagrammepv' on page 148 undefined on input line 593. 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(./Annexe-UnitesInternationales/Annexe-UnitesInternationales.tex -[156 +[160 @@ -3043,22 +3078,22 @@ Underfull \hbox (badness 2970) in paragraph at lines 16--17 [][] \T1/cmr/m/n/10 sont des ``ob-jets'' d'une im-por- [] -[157 +[161 -] [158] +] [162] File: ./Annexe-UnitesInternationales/Images/Arc.eps Graphic file (type eps) <./Annexe-UnitesInternationales/Images/Arc.eps> Underfull \hbox (badness 5878) in paragraph at lines 192--193 []$\T1/cmr/m/n/10 =$[]$/$[]$ et $[]$=$[]$/$[]$. [] -[159] [160]) [161] +[163] [164]) [165] \openout2 = `Annexe-SystemeCoordonnees/Annexe-SystemeCoordonnees.aux'. (./Annexe-SystemeCoordonnees/Annexe-SystemeCoordonnees.tex -[162 +[166 @@ -3075,13 +3110,13 @@ File: ./Annexe-SystemeCoordonnees/Images/circulaire.eps Graphic file (type eps) <./Annexe-SystemeCoordonnees/Images/circulaire.eps> Underfull \vbox (badness 10000) has occurred while \output is active [] - [163 + [167 ] File: ./Annexe-SystemeCoordonnees/Images/spherique.eps Graphic file (type eps) -<./Annexe-SystemeCoordonnees/Images/spherique.eps>) [164 +<./Annexe-SystemeCoordonnees/Images/spherique.eps>) [168 ] \openout2 = `Annexe-MesuresDistances/Annexe-MesuresDistances.aux'. @@ -3095,7 +3130,7 @@ Underfull \hbox (badness 2717) in paragraph at lines 22--22 que-ment car [] -[165 +[169 @@ -3105,10 +3140,10 @@ Underfull \hbox (badness 1043) in paragraph at lines 38--39 \T1/cmr/m/n/10 prob-lème posé par la mesure d'Érathosthène[]. [] -[166] +[170] File: ./Annexe-MesuresDistances/Images/RayonLune.eps Graphic file (type eps) - <./Annexe-MesuresDistances/Images/RayonLune.eps> [167] -(./Annexe-MesuresDistances/Images/Parallaxe.pst) [168] + <./Annexe-MesuresDistances/Images/RayonLune.eps> [171] +(./Annexe-MesuresDistances/Images/Parallaxe.pst) [172] Underfull \hbox (badness 1783) in paragraph at lines 116--117 []\T1/cmr/m/n/10 ``\T1/cmr/m/it/10 Le 5 septem-bre 1672, trois jours [] @@ -3118,7 +3153,7 @@ Underfull \hbox (badness 1052) in paragraph at lines 116--117 \T1/cmr/m/it/10 ob-servâmes à Paris trois Etoiles dans [] -[169]) [170 +[173]) [174 ] \openout2 = `Annexe-TravauxPratiques/Annexe-TravauxPratiques.aux'. @@ -3140,7 +3175,7 @@ Underfull \hbox (badness 3354) in paragraph at lines 22--23 \T1/cmr/m/n/10 vent varier beau-coup en fonc-tion des spé-ci- [] -[171 +[175 @@ -3148,7 +3183,7 @@ Underfull \hbox (badness 3354) in paragraph at lines 22--23 ] File: ./Annexe-TravauxPratiques/Images/RailHorizontal.eps Graphic file (type ep s) - <./Annexe-TravauxPratiques/Images/RailHorizontal.eps> [172] + <./Annexe-TravauxPratiques/Images/RailHorizontal.eps> [176] File: ./Annexe-TravauxPratiques/Images/ExpleGraphe.eps Graphic file (type eps) <./Annexe-TravauxPratiques/Images/ExpleGraphe.eps> @@ -3166,12 +3201,12 @@ Underfull \hbox (badness 2035) in paragraph at lines 96--97 \T1/cmr/m/n/10 présen-ter trop de ré-sul-tats si-mul-tané-ment [] -[173] +[177] Underfull \hbox (badness 2495) in paragraph at lines 153--154 []\T1/cmr/m/n/10 Une ex-pli-ca-tion en français des ré-sul-tats [] -[174] +[178] Underfull \hbox (badness 1783) in paragraph at lines 176--177 \T1/cmr/m/n/10 ex-térieures de l'étoile ont formé la nébuleuse [] @@ -3186,7 +3221,7 @@ Underfull \hbox (badness 1838) in paragraph at lines 188--189 \T1/cmr/m/n/10 et mesurer suc-ces-sive-ment les dis-tances d'une [] -[175 +[179 ] Underfull \hbox (badness 10000) in paragraph at lines 231--231 @@ -3198,24 +3233,24 @@ Underfull \hbox (badness 6001) in paragraph at lines 248--249 \T1/cmr/m/n/10 n'est pas linéaire (ou affine), mais sa [] -[176] +[180] Underfull \hbox (badness 1163) in paragraph at lines 281--282 \T1/cmr/m/n/10 C'est un mou-ve-ment chargé d'histoire puisque [] -[177]) [178] +[181]) [182] \openout2 = `Annexe-Rotations/Annexe-Rotations.aux'. (./Annexe-Rotations/Annexe-Rotations.tex Appendix E. -[179 +[183 ] File: ./Annexe-Rotations/Images/TychoSystem.eps Graphic file (type eps) - <./Annexe-Rotations/Images/TychoSystem.eps> [180] + <./Annexe-Rotations/Images/TychoSystem.eps> [184] File: ./Annexe-Rotations/Images/Milky_Way_2005_soleil.eps Graphic file (type ep s) @@ -3230,7 +3265,7 @@ Overfull \hbox (5.71931pt too wide) detected at line 100 ] 24 [] 365 = [] [] -[181]) [182 +[185]) [186 ] \openout2 = `Annexe-MRUA/Annexe-MRUA.aux'. @@ -3244,12 +3279,12 @@ Underfull \hbox (badness 1603) in paragraph at lines 43--43 []\T1/cmr/bx/n/14.4 Une autre re-la-tion bien [] -[183 +[187 -]) [184] +]) [188] \openout2 = `Annexe-ChuteLune/Annexe-ChuteLune.aux'. (./Annexe-ChuteLune/Annexe-ChuteLune.tex @@ -3257,13 +3292,13 @@ Appendix G. (./Annexe-ChuteLune/Images/SchemaChuteLune.tex) Underfull \vbox (badness 10000) has occurred while \output is active [] - [185 + [189 ]) -[186] +[190] \openout2 = `Annexe-Satellites/Annexe-Satellites.aux'. (./Annexe-Satellites/Annexe-Satellites.tex @@ -3274,12 +3309,12 @@ Overfull \hbox (4.33284pt too wide) in paragraph at lines 15--20 [] File: ./Annexe-Satellites/Images/Satellite.eps Graphic file (type eps) -<./Annexe-Satellites/Images/Satellite.eps> [187 +<./Annexe-Satellites/Images/Satellite.eps> [191 -]) [188 +]) [192 ] \openout2 = `Annexe-Relativite/Annexe-Relativite.aux'. @@ -3292,7 +3327,7 @@ Underfull \hbox (badness 1082) in paragraph at lines 9--10 \T1/cmr/m/it/10 Lorsque vous au-rez ob-servé toutes ces [] -[189 +[193 @@ -3307,8 +3342,8 @@ Underfull \hbox (badness 2495) in paragraph at lines 42--44 Underfull \vbox (badness 10000) has occurred while \output is active [] - [190] -[191] + [194] +[195] Underfull \hbox (badness 3240) in paragraph at lines 125--126 []\T1/cmr/m/n/10 On peut cepen-dant mod-i-fier l'équation I.9[] [] @@ -3323,12 +3358,12 @@ Underfull \hbox (badness 1331) in paragraph at lines 129--131 \T1/cmr/m/n/10 ment ex-er-cées sur l'objet, on peut s'imaginer [] -) [192] [193 +) [196] [197 ] \openout2 = `Annexe-Maree/Annexe-Maree.aux'. - (./Annexe-Maree/Annexe-Maree.tex [194 + (./Annexe-Maree/Annexe-Maree.tex [198 @@ -3341,27 +3376,27 @@ Underfull \hbox (badness 5260) in paragraph at lines 7--8 [] File: ./Annexe-Maree/Images/Maree.eps Graphic file (type eps) -<./Annexe-Maree/Images/Maree.eps> [195 +<./Annexe-Maree/Images/Maree.eps> [199 ] (./Annexe-Maree/Images/Systterrelune.pst) -(./Annexe-Maree/Images/Systterreluneeau.pst) [196] +(./Annexe-Maree/Images/Systterreluneeau.pst) [200] Underfull \hbox (badness 3803) in paragraph at lines 85--87 \T1/cmr/m/n/10 Pour établir l'équation J.6[], on a util-isé le [] -[197] +[201] File: ./Annexe-Maree/Images/Decalages.eps Graphic file (type eps) <./Annexe-Maree/Images/Decalages.eps> File: ./Annexe-Maree/Images/ViveMorteEau.eps Graphic file (type eps) -<./Annexe-Maree/Images/ViveMorteEau.eps> [198] +<./Annexe-Maree/Images/ViveMorteEau.eps> [202] Underfull \hbox (badness 2573) in paragraph at lines 142--143 []\T1/cmr/m/n/10 Au périgée, la dis-tance Terre-Lune vaut : [] -[199] +[203] File: ./Annexe-Maree/Images/Roche.eps Graphic file (type eps) <./Annexe-Maree/Images/Roche.eps> File: ./Annexe-Maree/Images/LimiteRoche1.eps Graphic file (type eps) @@ -3378,14 +3413,14 @@ File: ./Annexe-Maree/Images/LimiteRoche4.eps Graphic file (type eps) <./Annexe-Maree/Images/LimiteRoche4.eps> File: ./Annexe-Maree/Images/LimiteRoche5.eps Graphic file (type eps) -<./Annexe-Maree/Images/LimiteRoche5.eps> [200] +<./Annexe-Maree/Images/LimiteRoche5.eps> [204] Underfull \vbox (badness 4582) has occurred while \output is active [] -) [201] +) [205] \openout2 = `Annexe-Energies/Annexe-Energies.aux'. -(./Annexe-Energies/Annexe-Energies.tex [202 +(./Annexe-Energies/Annexe-Energies.tex [206 @@ -3398,10 +3433,10 @@ Underfull \hbox (badness 1077) in paragraph at lines 34--35 []\T1/cmr/m/n/10 On peut alors éval-uer ap-prox-i-ma-tive-ment le [] -[203 +[207 -] [204] [205]) [206 +] [208] [209]) [210 ] \openout2 = `Annexe-Exercices/Annexe-Exercices.aux'. @@ -3458,7 +3493,7 @@ Underfull \hbox (badness 2717) in paragraph at lines 138--138 Underfull \vbox (badness 10000) has occurred while \output is active [] - [207 + [211 @@ -3473,7 +3508,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 302--302 []\T1/cmr/bx/n/12 Relatif à la no-tion [] -[208] +[212] Underfull \hbox (badness 2285) in paragraph at lines 328--329 []\T1/cmr/m/n/10 Un avion s'approche d'un porte-avions à [] @@ -3488,7 +3523,7 @@ Underfull \hbox (badness 1292) in paragraph at lines 434--448 []\T1/cmr/m/n/10 Calculez la valeur de l'accélération (ici une [] -[209] +[213] Underfull \hbox (badness 3460) in paragraph at lines 546--557 []\T1/cmr/m/n/10 Une moto passe de $[]$ à [] @@ -3548,7 +3583,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 677--678 [] [] -[210] (./Annexe-Exercices/Images/Poulie.tex) [211] +[214] (./Annexe-Exercices/Images/Poulie.tex) [215] (./Annexe-Exercices/Images/pendante.eps_tex File: ./Annexe-Exercices/Images/pendante.eps Graphic file (type eps) @@ -3569,7 +3604,7 @@ Underfull \hbox (badness 3657) in paragraph at lines 1273--1362 []\T1/cmr/m/n/10 Déterminez l'accélération de chaque masse. [] -[212] +[216] Underfull \hbox (badness 1584) in paragraph at lines 1407--1428 []\T1/cmr/m/n/10 Calculez son ac-céléra-tion en fonc-tion de la [] @@ -3594,7 +3629,7 @@ Underfull \hbox (badness 1412) in paragraph at lines 1610--1634 []\T1/cmr/m/n/10 Calculez la masse M de Jupiter en faisant [] -[213] +[217] Underfull \hbox (badness 3460) in paragraph at lines 1744--1745 []\T1/cmr/m/n/10 À l'aide d'un char-iot d'une [] @@ -3605,7 +3640,7 @@ File: ./Annexe-Exercices/Images/blocsuspendu.eps Graphic file (type eps) <./Annexe-Exercices/Images/blocsuspendu.eps>) Output from handle ans going to Solutions.tex File ans already open -[214] +[218] Underfull \hbox (badness 2343) in paragraph at lines 2014--2022 \T1/cmr/m/n/10 hor-i-zon-tale-ment aug-mente sa vitesse de $[]$ à [] @@ -3636,7 +3671,7 @@ Underfull \hbox (badness 1005) in paragraph at lines 2153--2173 = [] -[215] +[219] Underfull \hbox (badness 10000) in paragraph at lines 2176--2183 []\T1/cmr/m/n/10 Un par-ti-c-ulier con-somme [] @@ -3646,15 +3681,15 @@ Underfull \hbox (badness 3271) in paragraph at lines 2176--2183 []$ \T1/cmr/m/n/10 d'énergie élec-trique. Il désire [] -(./Solutions.tex [216] [217] +(./Solutions.tex [220] [221] Overfull \hbox (1.67987pt too wide) detected at line 142 \OML/cmm/m/it/10 C \OT1/cmr/m/n/10 = 2 [] \OML/cmm/m/it/10 ^^Y [] r \OMS/cmsy/m /n/10 ^^Y \OT1/cmr/m/n/10 2 [] 3 [] 6[]000 = [] \OMS/cmsy/m/n/10 ^^Y [] [] -[218] +[222] File: ./Annexe-Exercices/Images/GraphesMRU.eps Graphic file (type eps) - <./Annexe-Exercices/Images/GraphesMRU.eps> [219] + <./Annexe-Exercices/Images/GraphesMRU.eps> [223] Underfull \hbox (badness 1137) in paragraph at lines 272--273 []\T1/cmr/m/n/10 La po-si-tion à laque-lle se trou-vent les deux [] @@ -3669,27 +3704,27 @@ Underfull \hbox (badness 2409) in paragraph at lines 304--306 \T1/cmr/m/n/10 d'un MRUA. Comme le mou-ve-ment est une [] -[220] [221] +[224] [225] File: ./Annexe-Exercices/Images/EiffelMecanique.eps Graphic file (type eps) - <./Annexe-Exercices/Images/EiffelMecanique.eps> [222] + <./Annexe-Exercices/Images/EiffelMecanique.eps> [226] File: ./Annexe-Exercices/Images/Fusee.eps Graphic file (type eps) <./Annexe-Exercices/Images/Fusee.eps> File: ./Annexe-Exercices/Images/Remorque.eps Graphic file (type eps) <./Annexe-Exercices/Images/Remorque.eps> -[223] +[227] Underfull \hbox (badness 2277) in paragraph at lines 525--526 []\T1/cmr/m/n/10 Comme on cherche la force néces-saire à [] -[224] +[228] Overfull \hbox (7.06488pt too wide) detected at line 585 \OML/cmm/m/it/10 F[] \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 m [] a \OT1/cmr/m/n/10 = 9\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1 [] 10[] [] 1\OML/cmm/m/it/10 ; \OT1/cmr /m/n/10 5 [] 10[] = [] [] -[225] +[229] Underfull \hbox (badness 10000) in paragraph at lines 640--642 \T1/cmr/m/n/10 Pour véri-fier cette so-lu-tion, re-cal-cu-lons [] @@ -3700,7 +3735,7 @@ Underfull \hbox (badness 6675) in paragraph at lines 688--689 []\T1/cmr/m/n/10 Quand l'ascenseur prend de la vitesse, [] -[226] +[230] Underfull \hbox (badness 10000) in paragraph at lines 693--694 []\T1/cmr/m/n/10 Pendant la phase à vitesse con-stante, [] @@ -3720,7 +3755,7 @@ Underfull \hbox (badness 1371) in paragraph at lines 749--750 []\T1/cmr/m/n/10 L'accélération de la voiture est (hy-pothèse [] -[227] [228] +[231] [232] Underfull \hbox (badness 1281) in paragraph at lines 868--869 \T1/cmr/m/n/10 du théorème de con-ser-va-tion de l'énergie mé- [] @@ -3730,12 +3765,12 @@ Underfull \hbox (badness 5022) in paragraph at lines 896--898 \T1/cmr/m/n/10 Cette vitesse est un vecteur qui fait avec [] -[229] +[233] Underfull \hbox (badness 1769) in paragraph at lines 952--954 \T1/cmr/m/n/10 Compte tenu des frot-te-ments, l'énergie to-tale [] -[230] [231]) (./SolutionsOS.tex +[234] [235]) (./SolutionsOS.tex (./Annexe-Exercices/Images/forceinclinee.eps_tex File: ./Annexe-Exercices/Images/forceinclinee.eps Graphic file (type eps) @@ -3746,7 +3781,7 @@ File: ./Annexe-Exercices/Images/lampe.eps Graphic file (type eps) LaTeX Warning: `h' float specifier changed to `ht'. -[232] [233] (./Annexe-Exercices/Images/incline.eps_tex +[236] [237] (./Annexe-Exercices/Images/incline.eps_tex File: ./Annexe-Exercices/Images/incline.eps Graphic file (type eps) <./Annexe-Exercices/Images/incline.eps>) @@ -3754,7 +3789,7 @@ Underfull \hbox (badness 1024) in paragraph at lines 164--165 []\T1/cmr/m/n/10 Ensuite, le prob-lème se ré-sout de la même [] -[234] [235] (./Annexe-Exercices/Images/cordepoulie.eps_tex +[238] [239] (./Annexe-Exercices/Images/cordepoulie.eps_tex File: ./Annexe-Exercices/Images/cordepoulie.eps Graphic file (type eps) <./Annexe-Exercices/Images/cordepoulie.eps>) @@ -3770,18 +3805,18 @@ s) LaTeX Warning: `h' float specifier changed to `ht'. -[236] [237] [238] (./Annexe-Exercices/Images/inclinefrottement.eps_tex +[240] [241] [242] (./Annexe-Exercices/Images/inclinefrottement.eps_tex File: ./Annexe-Exercices/Images/inclinefrottement.eps Graphic file (type eps) -<./Annexe-Exercices/Images/inclinefrottement.eps>) [239] [240] +<./Annexe-Exercices/Images/inclinefrottement.eps>) [243] [244] (./Annexe-Exercices/Images/blocsuspenduforces.eps_tex File: ./Annexe-Exercices/Images/blocsuspenduforces.eps Graphic file (type eps) -<./Annexe-Exercices/Images/blocsuspenduforces.eps>)) [241]) +<./Annexe-Exercices/Images/blocsuspenduforces.eps>)) [245]) \openout2 = `Annexe-Incertitudes/Annexe-Incertitudes.aux'. -(./Annexe-Incertitudes/Annexe-Incertitudes.tex [242 +(./Annexe-Incertitudes/Annexe-Incertitudes.tex [246 @@ -3798,22 +3833,20 @@ Underfull \hbox (badness 1264) in paragraph at lines 6--7 \T1/cmr/m/n/10 cromètre, soit $[]$, en nanomètre, [] -[243 +[247 -] [244] -\openout7 = `CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot'. +] [248] +\openout7 = `CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot'. - Opening gnuplot stream CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot -runsystem(gnuplot CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot 2>>CoursMecaniqueO + Opening gnuplot stream CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot +runsystem(gnuplot CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot 2>>CoursMecaniqueO SDF.gnuploterrors)...executed. -Package gnuplottex Info: CoursMecaniqueOSDF-gnuplottex-fig1.gnuplot converted o +Package gnuplottex Info: CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot converted o n input line 175. -(./CoursMecaniqueOSDF-gnuplottex-fig1.tex -\plotpoint=\box92 -) [245] +(./CoursMecaniqueOSDF-gnuplottex-fig2.tex) [249] Underfull \hbox (badness 3068) in paragraph at lines 190--191 []\T1/cmr/m/n/10 Avec les in-cer-ti-tudes, on va s'intéresser à [] @@ -3823,7 +3856,7 @@ Underfull \hbox (badness 2753) in paragraph at lines 190--191 \T1/cmr/m/n/10 l'évaluation des ca-pac-ités des in-stru-ments de [] -[246] +[250] Underfull \hbox (badness 2846) in paragraph at lines 241--242 []\T1/cmr/m/n/10 On peut alors cal-culer l'incertitude sur le [] @@ -3838,7 +3871,7 @@ Underfull \hbox (badness 2600) in paragraph at lines 299--300 []\T1/cmr/m/n/10 L'incertitude rel-a-tive, comme ex-pres-sion de [] -[247] +[251] Underfull \hbox (badness 1460) in paragraph at lines 324--325 []\T1/cmr/m/n/10 Par ailleurs, un prob-lème se pose quant à [] @@ -3848,10 +3881,10 @@ Underfull \hbox (badness 10000) in paragraph at lines 341--342 \T1/cmr/m/n/10 L'incertitude rel-a-tive[] est le rap-port en-tre [] -[248] +[252] Underfull \vbox (badness 3557) has occurred while \output is active [] -) [249] +) [253] (./CoursMecaniqueOSDF.ent Underfull \hbox (badness 7415) in paragraph at lines 2--22 \T1/cmtt/m/n/8 hubble . nasa . gov / multimedia / astronomy . php$ \T1/cmr/m/n/ @@ -4060,7 +4093,7 @@ Underfull \hbox (badness 2057) in paragraph at lines 616--624 ommons . [] -[250 +[254 ] Underfull \hbox (badness 10000) in paragraph at lines 626--650 @@ -4195,9 +4228,9 @@ Underfull \hbox (badness 5077) in paragraph at lines 868--883 cmr/m/n/8 ou [] -) [251 +) [255 -] [252 +] [256 ] (./CoursMecaniqueOSDF.bbl @@ -4221,15 +4254,15 @@ Underfull \hbox (badness 1325) in paragraph at lines 140--152 \T1/cmr/m/n/10 Ou-vrage très com-plet et très math-é-ma-tique [] -[253 +[257 -]) (./CoursMecaniqueOSDF.ind [254 +]) (./CoursMecaniqueOSDF.ind [258 -] [255 +] [259 -] [256] [257] [258] [259] [260] -[261] [262] [263] [264 +] [260] [261] [262] [263] [264] +[265] [266] [267] [268 ]) (./CoursMecaniqueOSDF.gnuploterrors) (./CoursMecaniqueOSDF.aux (./Prefaces/Prefaces.aux) @@ -4237,6 +4270,7 @@ Underfull \hbox (badness 1325) in paragraph at lines 140--152 (./Dynamique/Dynamique.aux) (./MecaniqueDim/MecaniqueDim.aux) (./MecaniqueDifferentielle/MecaniqueDifferentielle.aux) (./QtiteMvt/QtiteMvt.aux) (./Energie/Energie.aux) (./EnergieOS/EnergieOS.aux) +(./PhysiqueTheorique/PhysiqueTheorique.aux) (./Thermodynamique/Thermodynamique.aux) (./ThermodynamiqueOS/ThermodynamiqueOS.aux) (./Annexe-UnitesInternationales/Annexe-UnitesInternationales.aux) @@ -4262,12 +4296,12 @@ LaTeX Warning: There were multiply-defined labels. ) Here is how much of TeX's memory you used: - 24954 strings out of 494830 - 430422 string characters out of 6176634 - 575850 words of memory out of 5000000 - 27206 multiletter control sequences out of 15000+600000 + 24969 strings out of 494830 + 430901 string characters out of 6176634 + 576527 words of memory out of 5000000 + 27210 multiletter control sequences out of 15000+600000 36950 words of font info for 95 fonts, out of 8000000 for 9000 36 hyphenation exceptions out of 8191 56i,29n,92p,2745b,548s stack positions out of 5000i,500n,10000p,200000b,80000s -Output written on CoursMecaniqueOSDF.dvi (264 pages, 1669324 bytes). +Output written on CoursMecaniqueOSDF.dvi (268 pages, 1690180 bytes). diff --git a/CoursMecaniqueOSDF.lot b/CoursMecaniqueOSDF.lot index 4da707c..b438b4f 100644 --- a/CoursMecaniqueOSDF.lot +++ b/CoursMecaniqueOSDF.lot @@ -12,25 +12,26 @@ \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {9.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{129} -\contentsline {table}{\numberline {9.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{129} -\contentsline {table}{\numberline {9.3}{\ignorespaces Chaleur latente\relax }}{130} \addvspace {10\p@ } -\contentsline {table}{\numberline {10.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{134} -\contentsline {table}{\numberline {10.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{135} -\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur massique\relax }}{136} -\contentsline {table}{\numberline {10.4}{\ignorespaces Chaleur latente\relax }}{137} -\contentsline {table}{\numberline {10.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{148} -\contentsline {table}{\numberline {10.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{150} +\contentsline {table}{\numberline {10.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{133} +\contentsline {table}{\numberline {10.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{133} +\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur latente\relax }}{134} \addvspace {10\p@ } -\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{160} -\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{160} -\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{160} -\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{161} +\contentsline {table}{\numberline {11.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{138} +\contentsline {table}{\numberline {11.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{139} +\contentsline {table}{\numberline {11.3}{\ignorespaces Chaleur massique\relax }}{140} +\contentsline {table}{\numberline {11.4}{\ignorespaces Chaleur latente\relax }}{141} +\contentsline {table}{\numberline {11.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{152} +\contentsline {table}{\numberline {11.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{154} +\addvspace {10\p@ } +\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{164} +\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{164} +\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{164} +\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{165} \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{173} +\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{177} \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } @@ -40,6 +41,6 @@ \addvspace {10\p@ } \addvspace {10\p@ } \addvspace {10\p@ } -\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{244} -\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{245} -\contentsline {table}{\numberline {M.3}{\ignorespaces Des centaines de baguettes de pain\relax }}{245} +\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{248} +\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{249} +\contentsline {table}{\numberline {M.3}{\ignorespaces Des centaines de baguettes de pain\relax }}{249} diff --git a/CoursMecaniqueOSDF.pdf 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+y(h\351lio)r(cen)n(trique,)g(56)1930 5617 y(262)p eop end -%%Page: 259 259 -TeXDict begin 259 258 bop 0 TeXcolorgray -116 262 a FQ(INDEX)3205 +%%Page: 263 263 +TeXDict begin 263 262 bop 0 TeXcolorgray -116 262 a FQ(INDEX)3205 b(INDEX)p -116 296 3753 4 v -116 525 a FX(h\351lium,)28 b(33)-116 625 y(h\351misph\350re,)f(27)-116 725 y(Ho)r(ok)n(e,)f(61) -116 824 y(Ho)r(ok)n(e)g(Rob)r(ert,)i(61)-116 924 y(h)n(ydrog\350ne,)e @@ -2878828,9 +2879089,9 @@ y(d'\351quino)n(xe,)g(198)1968 4703 y(de)h(basse)g(mer,)g(67)1968 1968 5005 y(de)f(p)r(\351rig\351e,)g(199)1968 5105 y(de)g(p)r (\351rih\351lie,)h(199)1968 5206 y(de)f(pleine)h(mer,)f(67)1968 5306 y(de)g(viv)n(e)g(eau,)g(67)1968 5407 y(de)g(viv)n(es)g(et)h -(mortes)f(eaux,)g(198)1698 5617 y(259)p eop end -%%Page: 260 260 -TeXDict begin 260 259 bop 0 TeXcolorgray 116 262 a FQ(INDEX)3205 +(mortes)f(eaux,)g(198)1698 5617 y(263)p eop end +%%Page: 264 264 +TeXDict begin 264 263 bop 0 TeXcolorgray 116 262 a FQ(INDEX)3205 b(INDEX)p 116 296 3753 4 v 282 525 a FX(haute,)28 b(68)282 625 y(o)r(c\351anique,)f(71)282 725 y(th\351orie)g(ondulatoire,)g(67) 282 824 y(th\351orie)g(statique,)h(67)116 924 y(mar\351e)f(noire,)g @@ -2878882,9 +2879143,9 @@ y(MR)n(UA,)h(176\025178)2034 1920 y(MR)n(UA,)g(42,)f(44\02546)2034 4886 y FW(O)p 2132 4861 V 2034 5008 a FX(obus,)g(44)2034 5108 y(onde,)g(34,)g(35)2034 5208 y(opp)r(osition,)g(169)2034 5307 y(optique,)h(57)2034 5407 y(orbite,)f(64,)g(86,)g(163,)f(187)1930 -5617 y(260)p eop end -%%Page: 261 261 -TeXDict begin 261 260 bop 0 TeXcolorgray -116 262 a FQ(INDEX)3205 +5617 y(264)p eop end +%%Page: 265 265 +TeXDict begin 265 264 bop 0 TeXcolorgray -116 262 a FQ(INDEX)3205 b(INDEX)p -116 296 3753 4 v 50 525 a FX(circulaire,)26 b(181)50 625 y(de)h(mars,)g(180)50 725 y(elliptique,)h(61,)f(169,)f (170,)g(180)-116 824 y(orbite,)h(26,)g(40)50 924 y(circulaire,)f(47)50 @@ -2878939,10 +2879200,10 @@ b(de)i(l'\351nergie,)f(104)1802 4012 y(princip)r(e)1968 (170)1802 4909 y(pseudo-force,)f(65,)g(69,)h(192)1968 5008 y(cen)n(trifuge,)g(69,)f(70,)h(195)1968 5108 y(d'inertie,)g(69) 1802 5208 y(Ptol\351m\351e,)g(180)1802 5307 y(puissance,)f(101,)h(102) -1968 5407 y(de)g(c)n(h)n(ute,)h(106)1698 5617 y(261)p +1968 5407 y(de)g(c)n(h)n(ute,)h(106)1698 5617 y(265)p eop end -%%Page: 262 262 -TeXDict begin 262 261 bop 0 TeXcolorgray 116 262 a FQ(INDEX)3205 +%%Page: 266 266 +TeXDict begin 266 265 bop 0 TeXcolorgray 116 262 a FQ(INDEX)3205 b(INDEX)p 116 296 3753 4 v 282 525 a FX(install\351e,)28 b(106,)e(203)282 625 y(solaire)365 725 y(mo)n(y)n(enne,)h(110)365 824 y(utile,)h(110)116 924 y(pulsar,)f(175)116 1100 y @@ -2878995,10 +2879256,10 @@ y(seconde)g(loi)g(de)h(Newton,)f(86)2034 3315 y(s\351isme,)g(112)2034 4710 y(sph\351rique,)g(163)2034 4809 y(sph\350re)2200 4909 y(cristalline,)g(49)2034 5008 y(sph\351rique,)g(37)2034 5108 y(stade,)g(166)2034 5208 y(statique,)g(71)2034 5307 -y(Strab)r(on,)g(165)2034 5407 y(structure)1930 5617 y(262)p +y(Strab)r(on,)g(165)2034 5407 y(structure)1930 5617 y(266)p eop end -%%Page: 263 263 -TeXDict begin 263 262 bop 0 TeXcolorgray -116 262 a FQ(INDEX)3205 +%%Page: 267 267 +TeXDict begin 267 266 bop 0 TeXcolorgray -116 262 a FQ(INDEX)3205 b(INDEX)p -116 296 3753 4 v 50 525 a FX(de)27 b(rapp)r(ort,)g(171)-116 625 y(structure,)g(21)-116 725 y(subatomique,)g(32)-116 824 y(sublunaire,)g(53)-116 924 y(sublunaire,)g(42,)f(45)-116 @@ -2879053,14 +2879314,14 @@ g(47,)f(119)1968 4602 y(instan)n(tann\351e,)h(38)1968 4904 y(vitesse)i(scalaire,)f(83)1802 5005 y(viv)n(e)g(eau,)i(198)1802 5105 y(V)-7 b(oie)1968 5206 y(Lact\351e,)27 b(24,)f(41,)h(42)1802 5306 y(V)-7 b(oie)27 b(Lact\351e,)g(181)1802 5407 y(v)n(olcanisme,)f -(199)1698 5617 y(263)p eop end -%%Page: 264 264 -TeXDict begin 264 263 bop 0 TeXcolorgray 116 262 a FQ(INDEX)3205 +(199)1698 5617 y(267)p eop end +%%Page: 268 268 +TeXDict begin 268 267 bop 0 TeXcolorgray 116 262 a FQ(INDEX)3205 b(INDEX)p 116 296 3753 4 v 116 525 a FW(W)p 241 500 1182 2 v 116 650 a FX(w)n(att,)28 b(102,)e(105)116 832 y FW(Z)p 201 808 V 116 957 a FX(z\351nith,)i(165,)f(195,)f(198,)g(207)116 1057 y(z\351ro,)h(123)116 1156 y(zone)g(con)n(tamin\351e,)g(115)p -0 TeXcolorgray 0 TeXcolorgray 1930 5617 a(264)p eop end +0 TeXcolorgray 0 TeXcolorgray 1930 5617 a(268)p eop end %%Trailer userdict /end-hook known{end-hook}if diff --git a/CoursMecaniqueOSDF.tex b/CoursMecaniqueOSDF.tex index 7918033..baa7323 100644 --- a/CoursMecaniqueOSDF.tex +++ b/CoursMecaniqueOSDF.tex @@ -101,6 +101,9 @@ % inclusion de lénergie (OS) \opt{OS}{\include{EnergieOS/EnergieOS}} +% inclusion de la physique théorique +\opt{OS}{\include{PhysiqueTheorique/PhysiqueTheorique}} + % inclusion du chapitre de thermodynamique \include{Thermodynamique/Thermodynamique} diff --git a/CoursMecaniqueOSDF.tex.bak b/CoursMecaniqueOSDF.tex.bak index 7918033..baa7323 100644 --- a/CoursMecaniqueOSDF.tex.bak +++ b/CoursMecaniqueOSDF.tex.bak @@ -101,6 +101,9 @@ % inclusion de lénergie (OS) \opt{OS}{\include{EnergieOS/EnergieOS}} +% inclusion de la physique théorique +\opt{OS}{\include{PhysiqueTheorique/PhysiqueTheorique}} + % inclusion du chapitre de thermodynamique \include{Thermodynamique/Thermodynamique} diff --git a/CoursMecaniqueOSDF.toc b/CoursMecaniqueOSDF.toc index b7d7bfd..c61605b 100644 --- a/CoursMecaniqueOSDF.toc +++ b/CoursMecaniqueOSDF.toc @@ -207,208 +207,210 @@ \contentsline {subsubsection}{Le ressort}{125} \contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{125} \contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126} -\contentsline {chapter}{\numberline {9}Thermodynamique}{127} -\contentsline {section}{\numberline {9.1}Introduction}{127} -\contentsline {section}{\numberline {9.2}Temp\IeC {\'e}rature}{127} -\contentsline {subsection}{\numberline {9.2.1}Celsius}{127} -\contentsline {subsection}{\numberline {9.2.2}Fahrenheit}{127} -\contentsline {subsection}{\numberline {9.2.3}Kelvin}{128} -\contentsline {subsection}{\numberline {9.2.4}Agitation mol\IeC {\'e}culaire}{128} -\contentsline {section}{\numberline {9.3}Dilatation}{128} -\contentsline {section}{\numberline {9.4}Chaleur}{129} -\contentsline {subsection}{\numberline {9.4.1}Chaleur sp\IeC {\'e}cifique}{129} -\contentsline {subsection}{\numberline {9.4.2}Chaleur latente}{129} -\contentsline {section}{\numberline {9.5}\IeC {\'E}nergie thermique}{130} -\contentsline {subsection}{\numberline {9.5.1}Premier principe}{131} -\contentsline {chapter}{\numberline {10}Thermodynamique}{133} -\contentsline {section}{\numberline {10.1}Temp\IeC {\'e}rature et dilatation}{133} -\contentsline {subsection}{\numberline {10.1.1}Temp\IeC {\'e}rature}{133} -\contentsline {subsection}{\numberline {10.1.2}Dilatation}{133} -\contentsline {section}{\numberline {10.2}Chaleurs sp\IeC {\'e}cifique et latente}{135} -\contentsline {subsection}{\numberline {10.2.1}Introduction}{135} -\contentsline {subsection}{\numberline {10.2.2}Chaleur sp\IeC {\'e}cifique}{135} -\contentsline {subsubsection}{Chaleur massique}{135} -\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{136} -\contentsline {subsubsection}{Notion de mole}{136} -\contentsline {subsubsection}{Chaleur molaire}{136} -\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{137} -\contentsline {subsubsection}{Chaleur latente}{137} -\contentsline {subsubsection}{\IeC {\'E}vaporation}{137} -\contentsline {subsection}{\numberline {10.2.3}Bilan thermique}{138} -\contentsline {section}{\numberline {10.3}Loi des gaz parfaits}{139} -\contentsline {subsection}{\numberline {10.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{139} -\contentsline {subsubsection}{Pression}{139} -\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{139} -\contentsline {subsubsection}{Approche intuitive}{139} -\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{140} -\contentsline {subsection}{\numberline {10.3.2}Gaz parfait}{141} -\contentsline {section}{\numberline {10.4}Premier principe}{141} -\contentsline {subsection}{\numberline {10.4.1}Chaleur}{141} -\contentsline {subsection}{\numberline {10.4.2}Travail}{142} -\contentsline {subsection}{\numberline {10.4.3}\IeC {\'E}nergie interne}{142} -\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{143} -\contentsline {subsection}{\numberline {10.4.4}Premier principe}{143} -\contentsline {subsection}{\numberline {10.4.5}Changements d'\IeC {\'e}tats}{143} -\contentsline {subsubsection}{Transformation isobare}{144} -\contentsline {subsubsection}{Transformation isochore}{144} -\contentsline {subsubsection}{Transformation isotherme}{145} -\contentsline {subsubsection}{Transformation adiabatique}{146} -\contentsline {subsection}{\numberline {10.4.6}Chaleurs sp\IeC {\'e}cifiques}{147} -\contentsline {section}{\numberline {10.5}Machines thermiques}{148} -\contentsline {subsection}{\numberline {10.5.1}Machine simple}{148} -\contentsline {subsection}{\numberline {10.5.2}Moteur \IeC {\`a} explosion}{150} -\contentsline {subsection}{\numberline {10.5.3}Moteur Diesel}{152} -\contentsline {subsection}{\numberline {10.5.4}Machine de Stirling}{154} -\contentsline {subsection}{\numberline {10.5.5}Climatiseur}{154} -\contentsline {subsection}{\numberline {10.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{154} -\contentsline {subsection}{\numberline {10.5.7}Pompe \IeC {\`a} chaleur}{154} -\contentsline {subsection}{\numberline {10.5.8}Cycle de Carnot}{154} -\contentsline {section}{\numberline {10.6}Thermodynamique statistique}{154} -\contentsline {section}{\numberline {10.7}Second principe}{155} -\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{157} -\contentsline {section}{\numberline {A.1}Introduction}{157} -\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{157} -\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{158} -\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{159} -\contentsline {subsection}{\numberline {A.4.1}Exemple}{159} -\contentsline {section}{\numberline {A.5}Conversions}{159} -\contentsline {section}{\numberline {A.6}Sous-multiples}{160} -\contentsline {section}{\numberline {A.7}Notation scientifique}{160} -\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{161} -\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{163} -\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{163} -\contentsline {subsection}{\numberline {B.1.1}Introduction}{163} -\contentsline {subsection}{\numberline {B.1.2}Description}{163} -\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{163} -\contentsline {subsection}{\numberline {B.2.1}Introduction}{163} -\contentsline {subsection}{\numberline {B.2.2}Description}{163} -\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{164} -\contentsline {chapter}{\numberline {C}Mesures de distances}{165} -\contentsline {section}{\numberline {C.1}La taille de la Terre}{165} -\contentsline {subsection}{\numberline {C.1.1}Le principe}{165} -\contentsline {subsection}{\numberline {C.1.2}Techniquement}{166} -\contentsline {section}{\numberline {C.2}La taille de la Lune}{167} -\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{167} -\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{168} -\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{170} -\contentsline {chapter}{\numberline {D}Travaux pratiques}{171} -\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{171} -\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{172} -\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{172} -\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{172} -\contentsline {subsubsection}{But}{172} -\contentsline {subsubsection}{Th\IeC {\'e}orie}{172} -\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{172} -\contentsline {subsubsection}{R\IeC {\'e}sultats}{172} -\contentsline {subsubsection}{Discussion}{174} -\contentsline {subsubsection}{Conclusion}{174} -\contentsline {subsubsection}{Annexes}{174} -\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{175} -\contentsline {subsection}{\numberline {D.2.1}Introduction}{175} -\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{175} -\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{175} -\contentsline {subsection}{\numberline {D.2.4}Mesures}{175} -\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{175} -\contentsline {subsection}{\numberline {D.2.6}Analyse}{175} -\contentsline {section}{\numberline {D.3}Le pendule simple}{175} -\contentsline {subsection}{\numberline {D.3.1}Les mesures}{175} -\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{176} -\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{176} -\contentsline {subsection}{\numberline {D.4.1}Les mesures}{176} -\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{176} -\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{176} -\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{176} -\contentsline {subsection}{\numberline {D.5.1}But}{176} -\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{177} -\contentsline {subsection}{\numberline {D.5.3}Les mesures}{177} -\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{177} -\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{177} -\contentsline {section}{\numberline {D.6}La chute libre}{177} -\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{177} -\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{177} -\contentsline {section}{\numberline {D.7}Le canon horizontal}{177} -\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{178} -\contentsline {chapter}{\numberline {E}Rotations}{179} -\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{179} -\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{179} -\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{181} -\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{181} -\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{183} -\contentsline {section}{\numberline {F.1}La position}{183} -\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{183} -\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{183} -\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{184} -\contentsline {chapter}{\numberline {G}Chute de la Lune}{185} -\contentsline {section}{\numberline {G.1}Introduction}{185} -\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{185} -\contentsline {section}{\numberline {G.3}Force de gravitation}{186} -\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{187} -\contentsline {section}{\numberline {H.1}Introduction}{187} -\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{187} -\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{188} -\contentsline {section}{\numberline {H.4}Loi de Kepler}{188} -\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{189} -\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{189} -\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{190} -\contentsline {section}{\numberline {I.3}Invariance}{191} -\contentsline {section}{\numberline {I.4}Forces inertielles}{191} -\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{191} -\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{192} -\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{195} -\contentsline {section}{\numberline {J.1}Introduction}{195} -\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{195} -\contentsline {section}{\numberline {J.3}Force d'inertie}{196} -\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{196} -\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{196} -\contentsline {section}{\numberline {J.4}Poids relatif}{197} -\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{197} -\contentsline {section}{\numberline {J.6}Autres rythmes}{197} -\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{198} -\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{198} -\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{198} -\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{199} -\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{199} -\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{199} -\contentsline {section}{\numberline {J.7}Limite de Roche}{199} -\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{200} -\contentsline {subsection}{\numberline {J.7.2}Exemples}{201} -\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{203} -\contentsline {section}{\numberline {K.1}Introduction}{203} -\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{203} -\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{204} -\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{204} -\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{205} -\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{205} -\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{205} -\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{205} -\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{206} -\contentsline {chapter}{\numberline {L}Exercices}{207} -\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{207} -\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{207} -\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{208} -\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{208} -\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{208} -\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{209} -\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{209} -\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{210} -\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{210} -\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{213} -\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{214} -\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{215} -\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{215} -\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{215} -\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{215} -\contentsline {section}{\numberline {L.2}Solutions}{216} -\contentsline {section}{\numberline {L.3}Solutions OS}{232} -\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{243} -\contentsline {section}{\numberline {M.1}Ordre de grandeur}{243} -\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{243} -\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{243} -\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{244} -\contentsline {section}{\numberline {M.3}Incertitude}{246} -\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{247} -\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{247} -\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{247} -\contentsline {subsection}{\numberline {M.3.4}Puissance}{248} -\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{248} -\contentsline {subsection}{\numberline {M.3.6}Exemples}{249} +\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{129} +\contentsline {section}{\numberline {9.1}Introduction}{129} +\contentsline {chapter}{\numberline {10}Thermodynamique}{131} +\contentsline {section}{\numberline {10.1}Introduction}{131} +\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{131} +\contentsline {subsection}{\numberline {10.2.1}Celsius}{131} +\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{131} +\contentsline {subsection}{\numberline {10.2.3}Kelvin}{132} +\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{132} +\contentsline {section}{\numberline {10.3}Dilatation}{132} +\contentsline {section}{\numberline {10.4}Chaleur}{133} +\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{133} +\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{133} +\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{134} +\contentsline {subsection}{\numberline {10.5.1}Premier principe}{135} +\contentsline {chapter}{\numberline {11}Thermodynamique}{137} +\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{137} +\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{137} +\contentsline {subsection}{\numberline {11.1.2}Dilatation}{137} +\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{139} +\contentsline {subsection}{\numberline {11.2.1}Introduction}{139} +\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{139} +\contentsline {subsubsection}{Chaleur massique}{139} +\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{140} +\contentsline {subsubsection}{Notion de mole}{140} +\contentsline {subsubsection}{Chaleur molaire}{140} +\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{141} +\contentsline {subsubsection}{Chaleur latente}{141} +\contentsline {subsubsection}{\IeC {\'E}vaporation}{141} +\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{142} +\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{143} +\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{143} +\contentsline {subsubsection}{Pression}{143} +\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{143} +\contentsline {subsubsection}{Approche intuitive}{143} +\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{144} +\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{145} +\contentsline {section}{\numberline {11.4}Premier principe}{145} +\contentsline {subsection}{\numberline {11.4.1}Chaleur}{145} +\contentsline {subsection}{\numberline {11.4.2}Travail}{146} +\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{146} +\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{147} +\contentsline {subsection}{\numberline {11.4.4}Premier principe}{147} +\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{147} +\contentsline {subsubsection}{Transformation isobare}{148} +\contentsline {subsubsection}{Transformation isochore}{148} +\contentsline {subsubsection}{Transformation isotherme}{149} +\contentsline {subsubsection}{Transformation adiabatique}{150} +\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{151} +\contentsline {section}{\numberline {11.5}Machines thermiques}{152} +\contentsline {subsection}{\numberline {11.5.1}Machine simple}{152} +\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{154} +\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{156} +\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{158} +\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{158} +\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{158} +\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{158} +\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{158} +\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{158} +\contentsline {section}{\numberline {11.7}Second principe}{159} +\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{161} +\contentsline {section}{\numberline {A.1}Introduction}{161} +\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{161} +\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{162} +\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{163} +\contentsline {subsection}{\numberline {A.4.1}Exemple}{163} +\contentsline {section}{\numberline {A.5}Conversions}{163} +\contentsline {section}{\numberline {A.6}Sous-multiples}{164} +\contentsline {section}{\numberline {A.7}Notation scientifique}{164} +\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{165} +\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{167} +\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{167} +\contentsline {subsection}{\numberline {B.1.1}Introduction}{167} +\contentsline {subsection}{\numberline {B.1.2}Description}{167} +\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{167} +\contentsline {subsection}{\numberline {B.2.1}Introduction}{167} +\contentsline {subsection}{\numberline {B.2.2}Description}{167} +\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{168} +\contentsline {chapter}{\numberline {C}Mesures de distances}{169} +\contentsline {section}{\numberline {C.1}La taille de la Terre}{169} +\contentsline {subsection}{\numberline {C.1.1}Le principe}{169} +\contentsline {subsection}{\numberline {C.1.2}Techniquement}{170} +\contentsline {section}{\numberline {C.2}La taille de la Lune}{171} +\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{171} +\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{172} +\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{174} +\contentsline {chapter}{\numberline {D}Travaux pratiques}{175} +\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{175} +\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{176} +\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{176} +\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{176} +\contentsline {subsubsection}{But}{176} +\contentsline {subsubsection}{Th\IeC {\'e}orie}{176} +\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{176} +\contentsline {subsubsection}{R\IeC {\'e}sultats}{176} +\contentsline {subsubsection}{Discussion}{178} +\contentsline {subsubsection}{Conclusion}{178} +\contentsline {subsubsection}{Annexes}{178} +\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{179} +\contentsline {subsection}{\numberline {D.2.1}Introduction}{179} +\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{179} +\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{179} +\contentsline {subsection}{\numberline {D.2.4}Mesures}{179} +\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{179} +\contentsline {subsection}{\numberline {D.2.6}Analyse}{179} +\contentsline {section}{\numberline {D.3}Le pendule simple}{179} +\contentsline {subsection}{\numberline {D.3.1}Les mesures}{179} +\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{180} +\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{180} +\contentsline {subsection}{\numberline {D.4.1}Les mesures}{180} +\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{180} +\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{180} +\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{180} +\contentsline {subsection}{\numberline {D.5.1}But}{180} +\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{181} +\contentsline {subsection}{\numberline {D.5.3}Les mesures}{181} +\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{181} +\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{181} +\contentsline {section}{\numberline {D.6}La chute libre}{181} +\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{181} +\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{181} +\contentsline {section}{\numberline {D.7}Le canon horizontal}{181} +\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{182} +\contentsline {chapter}{\numberline {E}Rotations}{183} +\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{183} +\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{183} +\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{185} +\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{185} +\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{187} +\contentsline {section}{\numberline {F.1}La position}{187} +\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{187} +\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{187} +\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{188} +\contentsline {chapter}{\numberline {G}Chute de la Lune}{189} +\contentsline {section}{\numberline {G.1}Introduction}{189} +\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{189} +\contentsline {section}{\numberline {G.3}Force de gravitation}{190} +\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{191} +\contentsline {section}{\numberline {H.1}Introduction}{191} +\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{191} +\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{192} +\contentsline {section}{\numberline {H.4}Loi de Kepler}{192} +\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{193} +\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{193} +\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{194} +\contentsline {section}{\numberline {I.3}Invariance}{195} +\contentsline {section}{\numberline {I.4}Forces inertielles}{195} +\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{195} +\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{196} +\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{199} +\contentsline {section}{\numberline {J.1}Introduction}{199} +\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{199} +\contentsline {section}{\numberline {J.3}Force d'inertie}{200} +\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{200} +\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{200} +\contentsline {section}{\numberline {J.4}Poids relatif}{201} +\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{201} +\contentsline {section}{\numberline {J.6}Autres rythmes}{201} +\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{202} +\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{202} +\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{202} +\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{203} +\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{203} +\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{203} +\contentsline {section}{\numberline {J.7}Limite de Roche}{203} +\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{204} +\contentsline {subsection}{\numberline {J.7.2}Exemples}{205} +\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{207} +\contentsline {section}{\numberline {K.1}Introduction}{207} +\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{207} +\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{208} +\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{208} +\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{209} +\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{209} +\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{209} +\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{209} +\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{210} +\contentsline {chapter}{\numberline {L}Exercices}{211} +\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{211} +\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{211} +\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{212} +\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{212} +\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{212} +\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{213} +\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{213} +\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{214} +\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{214} +\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{217} +\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{218} +\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{219} +\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{219} +\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{219} +\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{219} +\contentsline {section}{\numberline {L.2}Solutions}{220} +\contentsline {section}{\numberline {L.3}Solutions OS}{236} +\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{247} +\contentsline {section}{\numberline {M.1}Ordre de grandeur}{247} +\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{247} +\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{247} +\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{248} +\contentsline {section}{\numberline {M.3}Incertitude}{250} +\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{251} +\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{251} +\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{251} +\contentsline {subsection}{\numberline {M.3.4}Puissance}{252} +\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{252} +\contentsline {subsection}{\numberline {M.3.6}Exemples}{253} diff --git a/EnergieOS/EnergieOS.aux b/EnergieOS/EnergieOS.aux index 53c7cbe..9e5a0d1 100644 --- a/EnergieOS/EnergieOS.aux +++ b/EnergieOS/EnergieOS.aux @@ -52,10 +52,13 @@ \newlabel{fderiveenpot}{{8.16}{126}} \newlabel{enpotvsf}{{8.17}{126}} \@writefile{toc}{\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126}} -\newlabel{enpotgrav}{{8.18}{126}} +\newlabel{forcedegravitation}{{8.18}{126}} +\newlabel{enpotgrav}{{8.19}{126}} +\@writefile{lof}{\contentsline {figure}{\numberline {8.7}{\ignorespaces Force et \IeC {\'e}nergie potentielle de gravitation entre la Terre et le Soleil\relax }}{127}} +\newlabel{forceetenpotST}{{8.7}{127}} \@setckpt{EnergieOS/EnergieOS}{ -\setcounter{page}{127} -\setcounter{equation}{18} +\setcounter{page}{128} +\setcounter{equation}{19} \setcounter{enumi}{2} \setcounter{enumii}{0} \setcounter{enumiii}{0} @@ -69,12 +72,12 @@ \setcounter{subsubsection}{0} \setcounter{paragraph}{0} \setcounter{subparagraph}{0} -\setcounter{figure}{6} +\setcounter{figure}{7} \setcounter{table}{0} \setcounter{parentequation}{0} \setcounter{FancyVerbLine}{0} \setcounter{float@type}{8} -\setcounter{fignum}{0} +\setcounter{fignum}{1} \setcounter{r@tfl@t}{3} \setcounter{subfigure}{0} \setcounter{lofdepth}{1} diff --git a/EnergieOS/EnergieOS.tex b/EnergieOS/EnergieOS.tex index d33441c..530f697 100644 --- a/EnergieOS/EnergieOS.tex +++ b/EnergieOS/EnergieOS.tex @@ -426,7 +426,7 @@ F=-\frac{d}{dx}E_{pot} On dira donc que la force dérive au signe près de l'énergie potentielle. Attention, la dérivée porte sur la variable d'espace et non le temps. \smallskip -On peut aussi écrire inversément~: +On peut aussi écrire inversement~: \[\Delta E_{pot}=-A=-\int_{A}^{B} F\cdot dx\] ou même, vectoriellement~: \begin{center} @@ -440,7 +440,9 @@ Cette équation permettant de déterminer par intégration l'énergie potentiell \subsubsection{Énergie gravifique} Considérons donc l'expression de la force de gravitation~: -\[F=G\cdot\frac{M\cdot m}{r^2}\] +\begin{equation}\label{forcedegravitation} +F=G\cdot\frac{M\cdot m}{r^2} +\end{equation} Il s'agit d'une force centrale, c'est-à-dire qui pointe toujours vers un point central. Le travail, comme projection du vecteur déplacement infinitésimal \(\Delta\overrightarrow{r}\) sur le vecteur force \(\overrightarrow{F}\), peut donc être étudié selon une droite radiale passant pas le point central. Mathématiquement, on a donc~: \begin{align*} A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot dr\\ @@ -450,13 +452,66 @@ A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot &=-G\cdot M\cdot m\cdot (\frac{1}{r_{B}}-\frac{1}{r_{A}})\\ &=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}}) \end{align*} -On voit clairement que le travail ne dépend que des points A et B et que l'énergie potentielle en ces points prend la forme~: -\begin{equation}\label{enpotgrav} -\fbox{$\displaystyle E_{pot\,grav}=G\cdot \frac{M\cdot m}{r}$} -\end{equation} Ce qui permet comme précédemment de ré-écrire le travail en fonction de l'énergie potentielle~: \begin{align*} A&=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}})\\ &=-(E_{pot\,grav}(B)-E_{pot\,grav}(A))\\ &=-\Delta E_{pot\,grav} -\end{align*} \ No newline at end of file +\end{align*} +On voit clairement que le travail ne dépend que des points A et B. Mais, contrairement à la forme de l'énergie potentielle issue du poids ou celle correspondant à la force d'un ressort, pour lesquelles le zéro de l'énergie correspond à l'origine de l'axe, on voit ici qu'à une distance nulle l'énergie devient infinie. + +\smallskip +Se pose donc le problème du choix du zéro de l'énergie\index{zero@zéro!de l'énergie potentielle} potentielle. Pour les deux forces évoquées ci-dessus, il semble évident pour la première qu'en remontant le champ de gravitation, l'énergie potentielle augmente et pour la seconde qu'elle le fait en s'éloignant de la position de repos du ressort. + +Pour la force de gravitation, la forme de l'énergie potentielle implique qu'elle ne peut être nulle qu'à l'infini. Pour que celle-ci augmente en fonction de la distance, elle ne peut être positive. On doit donc choisir la forme suivante~: +\begin{equation}\label{enpotgrav} +\fbox{$\displaystyle E_{pot\,grav}=-G\cdot \frac{M\cdot m}{r}$} +\end{equation} +Ainsi, l'énergie potentielle augmente, c'est-à-dire devient de moins en moins négative, en s'éloignant de l'origine et s'annule à l'infini. + +\medskip +Considérons la force de gravitation donnée par l'équation \ref{forcedegravitation} et l'énergie potentielle correspondante donne par l'équation \ref{enpotgrav} d'un point de vue graphique. La force de gravitation a été affectée d'un signe négatif pour signifier qu'elle est attractive et s'exerce dans le sens contraire de l'axe. Elle est inversement proportionnelle au carré de la distance, alors que l'énergie potentielle est elle inversement proportionnelle à la distance. Le graphe \ref{forceetenpotST} résente la force et l'énergie potentielle de la Terre dans le champ de gravitation du Soleil. + +\begin{figure} +\centering +\caption{Force et énergie potentielle de\\gravitation entre la Terre et le Soleil}\label{forceetenpotST} +\begin{gnuplot}[terminal=latex,terminaloptions=rotate,scale=0.6] + # domaine de définition + #set xrange [0:1E11] + #set yrange [-1E40:1E40] + set xrange [0:5] + set yrange [-1E46:1E45] + # flèches + #set arrow 1 from 39.7,120 to 39.7,0 head filled + #size screen 0.5,30 + #set label "Écart type" at 39.4,100 rotate by 90 + #set arrow 2 from 44.1,120 to 44.1,0 head filled + #set label "Écart type" at 44.4,138 rotate by -90 + #set arrow 3 from 41.9,120 to 41.9,0 head filled + #set label "Moyenne" at 42.2,80 rotate by -90 + #set grid + #set title "Baguettes d'une année" + # suppression de la légende + #set key off + set key right bottom + # légendes des axes + set xlabel "Distance (m)" + #set ylabel "Gravitation" rotate by 90 + # largeur des colonnes (boxes) + #set boxwidth 0.1 + #set arrow from graph 1,0 to graph 1.05,0 size screen 0.025,15,60 filled ls 11 + #set arrow from graph 0,1 to graph 0,1.05 size screen 0.025,15,60 filled ls 11 + set xzeroaxis + G=6.67E-11 + M=1.99E30 + m=5.97E24 + F(x)=-G*M*m/x**2 + E(x)=-G*M*m/x + # tracé du graphe + plot E(x) title "Énergie potentielle (J)", F(x) title "Force de gravitation (N)" +\end{gnuplot} +\end{figure} + +L'étude des propriété de la fonction d'énergie potentielle sera un élément très important pour comprendre les mouvements des objets soumis à différentes force. + +Plus généralement, nous reconsidérerons ce problème au chapitre \ref{physiquetheorique}. \ No newline at end of file diff --git a/EnergieOS/EnergieOS.tex.bak b/EnergieOS/EnergieOS.tex.bak index d33441c..530f697 100644 --- a/EnergieOS/EnergieOS.tex.bak +++ b/EnergieOS/EnergieOS.tex.bak @@ -426,7 +426,7 @@ F=-\frac{d}{dx}E_{pot} On dira donc que la force dérive au signe près de l'énergie potentielle. Attention, la dérivée porte sur la variable d'espace et non le temps. \smallskip -On peut aussi écrire inversément~: +On peut aussi écrire inversement~: \[\Delta E_{pot}=-A=-\int_{A}^{B} F\cdot dx\] ou même, vectoriellement~: \begin{center} @@ -440,7 +440,9 @@ Cette équation permettant de déterminer par intégration l'énergie potentiell \subsubsection{Énergie gravifique} Considérons donc l'expression de la force de gravitation~: -\[F=G\cdot\frac{M\cdot m}{r^2}\] +\begin{equation}\label{forcedegravitation} +F=G\cdot\frac{M\cdot m}{r^2} +\end{equation} Il s'agit d'une force centrale, c'est-à-dire qui pointe toujours vers un point central. Le travail, comme projection du vecteur déplacement infinitésimal \(\Delta\overrightarrow{r}\) sur le vecteur force \(\overrightarrow{F}\), peut donc être étudié selon une droite radiale passant pas le point central. Mathématiquement, on a donc~: \begin{align*} A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot dr\\ @@ -450,13 +452,66 @@ A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot &=-G\cdot M\cdot m\cdot (\frac{1}{r_{B}}-\frac{1}{r_{A}})\\ &=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}}) \end{align*} -On voit clairement que le travail ne dépend que des points A et B et que l'énergie potentielle en ces points prend la forme~: -\begin{equation}\label{enpotgrav} -\fbox{$\displaystyle E_{pot\,grav}=G\cdot \frac{M\cdot m}{r}$} -\end{equation} Ce qui permet comme précédemment de ré-écrire le travail en fonction de l'énergie potentielle~: \begin{align*} A&=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}})\\ &=-(E_{pot\,grav}(B)-E_{pot\,grav}(A))\\ &=-\Delta E_{pot\,grav} -\end{align*} \ No newline at end of file +\end{align*} +On voit clairement que le travail ne dépend que des points A et B. Mais, contrairement à la forme de l'énergie potentielle issue du poids ou celle correspondant à la force d'un ressort, pour lesquelles le zéro de l'énergie correspond à l'origine de l'axe, on voit ici qu'à une distance nulle l'énergie devient infinie. + +\smallskip +Se pose donc le problème du choix du zéro de l'énergie\index{zero@zéro!de l'énergie potentielle} potentielle. Pour les deux forces évoquées ci-dessus, il semble évident pour la première qu'en remontant le champ de gravitation, l'énergie potentielle augmente et pour la seconde qu'elle le fait en s'éloignant de la position de repos du ressort. + +Pour la force de gravitation, la forme de l'énergie potentielle implique qu'elle ne peut être nulle qu'à l'infini. Pour que celle-ci augmente en fonction de la distance, elle ne peut être positive. On doit donc choisir la forme suivante~: +\begin{equation}\label{enpotgrav} +\fbox{$\displaystyle E_{pot\,grav}=-G\cdot \frac{M\cdot m}{r}$} +\end{equation} +Ainsi, l'énergie potentielle augmente, c'est-à-dire devient de moins en moins négative, en s'éloignant de l'origine et s'annule à l'infini. + +\medskip +Considérons la force de gravitation donnée par l'équation \ref{forcedegravitation} et l'énergie potentielle correspondante donne par l'équation \ref{enpotgrav} d'un point de vue graphique. La force de gravitation a été affectée d'un signe négatif pour signifier qu'elle est attractive et s'exerce dans le sens contraire de l'axe. Elle est inversement proportionnelle au carré de la distance, alors que l'énergie potentielle est elle inversement proportionnelle à la distance. Le graphe \ref{forceetenpotST} résente la force et l'énergie potentielle de la Terre dans le champ de gravitation du Soleil. + +\begin{figure} +\centering +\caption{Force et énergie potentielle de\\gravitation entre la Terre et le Soleil}\label{forceetenpotST} +\begin{gnuplot}[terminal=latex,terminaloptions=rotate,scale=0.6] + # domaine de définition + #set xrange [0:1E11] + #set yrange [-1E40:1E40] + set xrange [0:5] + set yrange [-1E46:1E45] + # flèches + #set arrow 1 from 39.7,120 to 39.7,0 head filled + #size screen 0.5,30 + #set label "Écart type" at 39.4,100 rotate by 90 + #set arrow 2 from 44.1,120 to 44.1,0 head filled + #set label "Écart type" at 44.4,138 rotate by -90 + #set arrow 3 from 41.9,120 to 41.9,0 head filled + #set label "Moyenne" at 42.2,80 rotate by -90 + #set grid + #set title "Baguettes d'une année" + # suppression de la légende + #set key off + set key right bottom + # légendes des axes + set xlabel "Distance (m)" + #set ylabel "Gravitation" rotate by 90 + # largeur des colonnes (boxes) + #set boxwidth 0.1 + #set arrow from graph 1,0 to graph 1.05,0 size screen 0.025,15,60 filled ls 11 + #set arrow from graph 0,1 to graph 0,1.05 size screen 0.025,15,60 filled ls 11 + set xzeroaxis + G=6.67E-11 + M=1.99E30 + m=5.97E24 + F(x)=-G*M*m/x**2 + E(x)=-G*M*m/x + # tracé du graphe + plot E(x) title "Énergie potentielle (J)", F(x) title "Force de gravitation (N)" +\end{gnuplot} +\end{figure} + +L'étude des propriété de la fonction d'énergie potentielle sera un élément très important pour comprendre les mouvements des objets soumis à différentes force. + +Plus généralement, nous reconsidérerons ce problème au chapitre \ref{physiquetheorique}. \ No newline at end of file diff --git a/PhysiqueTheorique/PhysiqueTheorique.aux b/PhysiqueTheorique/PhysiqueTheorique.aux new file mode 100644 index 0000000..e47e91f --- /dev/null +++ b/PhysiqueTheorique/PhysiqueTheorique.aux @@ -0,0 +1,48 @@ +\relax +\@writefile{toc}{\contentsline {chapter}{\numberline 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