CoursMecaniqueEnergie/CoursMecaniqueOSDF.toc

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\contentsline {chapter}{\numberline {1}Introduction}{21}
\contentsline {section}{\numberline {1.1}Du temps}{21}
\contentsline {section}{\numberline {1.2}De l'infiniment grand \IeC {\`a} l'infiniment petit}{21}
\contentsline {subsection}{\numberline {1.2.1}L'Univers}{21}
\contentsline {subsection}{\numberline {1.2.2}Les amas de galaxies}{22}
\contentsline {subsection}{\numberline {1.2.3}Les galaxies}{23}
\contentsline {subsection}{\numberline {1.2.4}Les \IeC {\'e}toiles}{24}
\contentsline {subsection}{\numberline {1.2.5}Le syst\IeC {\`e}me solaire}{24}
\contentsline {subsection}{\numberline {1.2.6}La Terre et la Lune}{26}
\contentsline {subsubsection}{La Terre}{26}
\contentsline {subsubsection}{La Lune}{27}
\contentsline {subsubsection}{Les mar\IeC {\'e}es}{29}
\contentsline {subsection}{\numberline {1.2.7}Le monde subatomique}{32}
\contentsline {subsubsection}{Conclusion}{36}
\contentsline {chapter}{\numberline {2}La cin\IeC {\'e}matique}{37}
\contentsline {section}{\numberline {2.1}Introduction}{37}
\contentsline {section}{\numberline {2.2}Position}{37}
\contentsline {subsection}{\numberline {2.2.1}Dimensions}{37}
\contentsline {subsection}{\numberline {2.2.2}Syst\IeC {\`e}me d'axes}{37}
\contentsline {subsection}{\numberline {2.2.3}Position}{37}
\contentsline {subsection}{\numberline {2.2.4}D\IeC {\'e}placement}{38}
\contentsline {subsection}{\numberline {2.2.5}Distance parcourue}{38}
\contentsline {section}{\numberline {2.3}Vitesse}{38}
\contentsline {subsection}{\numberline {2.3.1}Vitesse moyenne}{38}
\contentsline {subsection}{\numberline {2.3.2}Exemples}{38}
\contentsline {subsubsection}{Exemple 1}{38}
\contentsline {subsubsection}{Exemple 2}{38}
\contentsline {subsection}{\numberline {2.3.3}Vitesse instantan\IeC {\'e}e}{38}
\contentsline {section}{\numberline {2.4}Acc\IeC {\'e}l\IeC {\'e}ration}{39}
\contentsline {subsection}{\numberline {2.4.1}Acc\IeC {\'e}l\IeC {\'e}ration moyenne}{39}
\contentsline {subsection}{\numberline {2.4.2}Exemples}{39}
\contentsline {subsubsection}{Exemple 1}{39}
\contentsline {subsubsection}{Exemple 2}{39}
\contentsline {subsubsection}{Remarque~:}{39}
\contentsline {subsection}{\numberline {2.4.3}L'acc\IeC {\'e}l\IeC {\'e}ration instantan\IeC {\'e}e}{39}
\contentsline {section}{\numberline {2.5}Mouvements simples}{39}
\contentsline {subsection}{\numberline {2.5.1}Le mouvement rectiligne uniforme}{39}
\contentsline {subsubsection}{D\IeC {\'e}finition}{39}
\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{39}
\contentsline {subsubsection}{Un exemple~: Apollo en route vers la Lune}{40}
\contentsline {subsubsection}{Autre exemple~: le d\IeC {\'e}placement d'Androm\IeC {\`e}de}{41}
\contentsline {subsection}{\numberline {2.5.2}Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} (MRUA)}{41}
\contentsline {subsubsection}{D\IeC {\'e}finition}{41}
\contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{41}
\contentsline {subsection}{\numberline {2.5.3}La chute libre}{42}
\contentsline {paragraph}{D\IeC {\'e}finition}{42}
\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{42}
\contentsline {paragraph}{Exp\IeC {\'e}rience}{42}
\contentsline {paragraph}{Calculs}{42}
\contentsline {paragraph}{Analyse des r\IeC {\'e}sultats}{43}
\contentsline {paragraph}{Conclusions}{44}
\contentsline {subsection}{\numberline {2.5.4}Balistique}{44}
\contentsline {paragraph}{D\IeC {\'e}finition}{44}
\contentsline {paragraph}{Propri\IeC {\'e}t\IeC {\'e}s}{44}
\contentsline {paragraph}{\IeC {\'E}quations}{44}
\contentsline {paragraph}{Premier exemple}{45}
\contentsline {paragraph}{Second exemple}{45}
\contentsline {subsection}{\numberline {2.5.5}La chute libre ... de la Lune}{45}
\contentsline {subsection}{\numberline {2.5.6}Mouvement circulaire uniforme (MCU)}{47}
\contentsline {subsubsection}{Relation importante}{47}
\contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{48}
\contentsline {chapter}{\numberline {3}La m\IeC {\'e}canique}{51}
\contentsline {section}{\numberline {3.1}La \FB@og m\IeC {\'e}canique\FB@fg \xspace {} d'Aristote}{51}
\contentsline {subsection}{\numberline {3.1.1}Introduction}{51}
\contentsline {subsection}{\numberline {3.1.2}Platon}{51}
\contentsline {subsection}{\numberline {3.1.3}Aristote}{52}
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{52}
\contentsline {subsubsection}{Dynamique}{52}
\contentsline {section}{\numberline {3.2}M\IeC {\'e}canique de Newton}{55}
\contentsline {subsection}{\numberline {3.2.1}Introduction}{55}
\contentsline {subsection}{\numberline {3.2.2}M\IeC {\'e}canique}{55}
\contentsline {subsubsection}{Les trois lois de Newton}{55}
\contentsline {subsubsection}{Force ext\IeC {\'e}rieure}{56}
\contentsline {subsubsection}{Exemples}{57}
\contentsline {subsection}{\numberline {3.2.3}Types de forces}{57}
\contentsline {subsubsection}{Loi de la gravitation universelle}{58}
\contentsline {subsubsection}{Le poids}{58}
\contentsline {paragraph}{Exemple}{59}
\contentsline {subsubsection}{Masse et poids}{60}
\contentsline {subsubsection}{Poids apparent}{60}
\contentsline {subsubsection}{Gravitation et MCU}{62}
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi de Kepler}{63}
\contentsline {subsubsection}{Les mar\IeC {\'e}es}{65}
\contentsline {subsubsection}{Le frottement}{69}
\contentsline {paragraph}{Exemple}{70}
\contentsline {subsubsection}{La force d'un ressort}{70}
\contentsline {paragraph}{Exemple}{70}
\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{73}
\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{73}
\contentsline {subsection}{\numberline {4.1.1}Dimensions}{73}
\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{73}
\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{73}
\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{73}
\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{74}
\contentsline {subsubsection}{produit scalaire}{74}
\contentsline {subsubsection}{Produit vectoriel}{74}
\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{74}
\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{74}
\contentsline {subsubsection}{Position}{74}
\contentsline {subsubsection}{Vitesse}{75}
\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{75}
\contentsline {subsection}{\numberline {4.3.2}Dynamique}{75}
\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{75}
\contentsline {subsubsection}{Seconde loi}{75}
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{75}
\contentsline {section}{\numberline {4.4}Exemples}{75}
\contentsline {subsection}{\numberline {4.4.1}Statique}{75}
\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{76}
\contentsline {subsection}{\numberline {4.4.3}Balistique}{78}
\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme : MCU}{80}
\contentsline {subsubsection}{D\IeC {\'e}finition}{80}
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{80}
\contentsline {subsubsection}{Relation importante}{81}
\contentsline {subsubsection}{Dynamique}{82}
\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{82}
\contentsline {paragraph}{Vitesses minimales}{82}
\contentsline {paragraph}{Vitesses maximales}{83}
\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{84}
\contentsline {subsubsection}{Introduction}{84}
\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{84}
\contentsline {subsubsection}{Num\IeC {\'e}riquement}{84}
\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{84}
\contentsline {subsubsection}{Mouvement kepleriens}{85}
\contentsline {subsubsection}{Loi de Kepler}{85}
\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{87}
\contentsline {section}{\numberline {5.1}Introduction}{87}
\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{87}
\contentsline {subsection}{\numberline {5.2.1}Exemples}{88}
\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} : MRUA}{88}
\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{88}
\contentsline {section}{\numberline {5.3}Dynamique}{89}
\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{89}
\contentsline {subsubsection}{Chute libre}{89}
\contentsline {subsubsection}{Freinage}{89}
\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{89}
\contentsline {subsubsection}{Chute dans un fluide visqueux}{89}
\contentsline {subsubsection}{Mouvement harmonique}{91}
\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{92}
\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{93}
\contentsline {chapter}{\numberline {6}Impulsion et quantit\IeC {\'e} de mouvement}{95}
\contentsline {section}{\numberline {6.1}Introduction}{95}
\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{95}
\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{95}
\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{96}
\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{96}
\contentsline {subsection}{\numberline {6.4.1}Exemple}{96}
\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{97}
\contentsline {subsection}{\numberline {6.5.1}Exemple}{97}
\contentsline {section}{\numberline {6.6}choc bidimentionnel}{98}
\contentsline {subsection}{\numberline {6.6.1}Exemple}{98}
\contentsline {section}{\numberline {6.7}Impulsion}{98}
\contentsline {section}{\numberline {6.8}Impulsion et quantit\IeC {\'e} de mouvement}{98}
\contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{99}
\contentsline {section}{\numberline {7.1}Introduction}{99}
\contentsline {section}{\numberline {7.2}Travail}{99}
\contentsline {section}{\numberline {7.3}Puissance}{100}
\contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{100}
\contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{101}
\contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{101}
\contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{101}
\contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103}
\contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{103}
\contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{103}
\contentsline {subsubsection}{Exemple}{104}
\contentsline {subsubsection}{Types de turbines}{105}
\contentsline {subsubsection}{Alternateur}{105}
\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{106}
\contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{106}
\contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{107}
\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{107}
\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{109}
\contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{110}
\contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{110}
\contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{111}
\contentsline {subsubsection}{Fission}{111}
\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{112}
\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{113}
\contentsline {subsubsection}{Fusion}{113}
\contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion : p\IeC {\'e}trole et gaz}{113}
\contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{117}
\contentsline {section}{\numberline {8.1}Introduction}{117}
\contentsline {section}{\numberline {8.2}Le travail}{117}
\contentsline {subsection}{\numberline {8.2.1}Historiquement}{117}
\contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{118}
\contentsline {subsubsection}{Travail simple}{118}
\contentsline {subsubsection}{Travail et produit scalaire}{118}
\contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{118}
\contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{119}
\contentsline {subsection}{\numberline {8.3.1}Introduction}{119}
\contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{120}
\contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{120}
\contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{120}
\contentsline {subsection}{\numberline {8.3.5}Exemple}{120}
\contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{120}
\contentsline {subsection}{\numberline {8.4.1}Introduction}{120}
\contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{121}
\contentsline {subsection}{\numberline {8.4.3}Exemples}{121}
\contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation}{122}
\contentsline {section}{\numberline {8.6}Forces conservatives}{122}
\contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{122}
\contentsline {subsection}{\numberline {8.6.2}Exemples}{122}
\contentsline {subsubsection}{Le poids}{122}
\contentsline {subsubsection}{Le ressort}{123}
\contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{124}
\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{124}
\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{127}
\contentsline {section}{\numberline {9.1}Introduction}{127}
\contentsline {section}{\numberline {9.2}\IeC {\'E}nergie potentielle}{127}
\contentsline {section}{\numberline {9.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{127}
\contentsline {section}{\numberline {9.4}Quantit\IeC {\'e} de mouvement}{127}
\contentsline {section}{\numberline {9.5}Conservation de l'\IeC {\'e}nergie}{128}
\contentsline {chapter}{\numberline {10}Thermodynamique}{129}
\contentsline {section}{\numberline {10.1}Introduction}{129}
\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{129}
\contentsline {subsection}{\numberline {10.2.1}Celsius}{129}
\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{129}
\contentsline {subsection}{\numberline {10.2.3}Kelvin}{130}
\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{130}
\contentsline {section}{\numberline {10.3}Dilatation}{130}
\contentsline {section}{\numberline {10.4}Chaleur}{131}
\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{131}
\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{132}
\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{132}
\contentsline {subsection}{\numberline {10.5.1}Premier principe}{133}
\contentsline {chapter}{\numberline {11}Thermodynamique}{135}
\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{135}
\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{135}
\contentsline {subsection}{\numberline {11.1.2}Dilatation}{135}
\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{137}
\contentsline {subsection}{\numberline {11.2.1}Introduction}{137}
\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{137}
\contentsline {subsubsection}{Chaleur massique}{137}
\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{138}
\contentsline {subsubsection}{Notion de mole}{138}
\contentsline {subsubsection}{Chaleur molaire}{138}
\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{139}
\contentsline {subsubsection}{Chaleur latente}{139}
\contentsline {subsubsection}{\IeC {\'E}vaporation}{139}
\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{140}
\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{141}
\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{141}
\contentsline {subsubsection}{Pression}{141}
\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{141}
\contentsline {subsubsection}{Approche intuitive}{141}
\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{142}
\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{143}
\contentsline {section}{\numberline {11.4}Premier principe}{143}
\contentsline {subsection}{\numberline {11.4.1}Chaleur}{143}
\contentsline {subsection}{\numberline {11.4.2}Travail}{144}
\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{144}
\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{145}
\contentsline {subsection}{\numberline {11.4.4}Premier principe}{145}
\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{145}
\contentsline {subsubsection}{Transformation isobare}{146}
\contentsline {subsubsection}{Transformation isochore}{146}
\contentsline {subsubsection}{Transformation isotherme}{147}
\contentsline {subsubsection}{Transformation adiabatique}{147}
\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{149}
\contentsline {section}{\numberline {11.5}Machines thermiques}{150}
\contentsline {subsection}{\numberline {11.5.1}Machine simple}{150}
\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{152}
\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{154}
\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{156}
\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{156}
\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{156}
\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{156}
\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{156}
\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{156}
\contentsline {section}{\numberline {11.7}Second principe}{157}
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{159}
\contentsline {section}{\numberline {A.1}Introduction}{159}
\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{159}
\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{160}
\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{161}
\contentsline {subsection}{\numberline {A.4.1}Exemple}{161}
\contentsline {section}{\numberline {A.5}Conversions}{161}
\contentsline {section}{\numberline {A.6}Sous-multiples}{162}
\contentsline {section}{\numberline {A.7}Notation scientifique}{162}
\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{163}
\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{165}
\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{165}
\contentsline {subsection}{\numberline {B.1.1}Introduction}{165}
\contentsline {subsection}{\numberline {B.1.2}Description}{165}
\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{165}
\contentsline {subsection}{\numberline {B.2.1}Introduction}{165}
\contentsline {subsection}{\numberline {B.2.2}Description}{165}
\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{166}
\contentsline {chapter}{\numberline {C}Mesures de distances}{167}
\contentsline {section}{\numberline {C.1}La taille de la Terre}{167}
\contentsline {subsection}{\numberline {C.1.1}Le principe}{167}
\contentsline {subsection}{\numberline {C.1.2}Techniquement}{168}
\contentsline {section}{\numberline {C.2}La taille de la Lune}{169}
\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{169}
\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{170}
\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{172}
\contentsline {chapter}{\numberline {D}Travaux pratiques}{173}
\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{173}
\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{174}
\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{174}
\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{174}
\contentsline {subsubsection}{But}{174}
\contentsline {subsubsection}{Th\IeC {\'e}orie}{174}
\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{174}
\contentsline {subsubsection}{R\IeC {\'e}sultats}{174}
\contentsline {subsubsection}{Discussion}{176}
\contentsline {subsubsection}{Conclusion}{176}
\contentsline {subsubsection}{Annexes}{176}
\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{177}
\contentsline {subsection}{\numberline {D.2.1}Introduction}{177}
\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{177}
\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{177}
\contentsline {subsection}{\numberline {D.2.4}Mesures}{177}
\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{177}
\contentsline {subsection}{\numberline {D.2.6}Analyse}{177}
\contentsline {section}{\numberline {D.3}Le pendule simple}{177}
\contentsline {subsection}{\numberline {D.3.1}Les mesures}{177}
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{178}
\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{178}
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{178}
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{178}
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{178}
\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{178}
\contentsline {subsection}{\numberline {D.5.1}But}{178}
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{179}
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{179}
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{179}
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{179}
\contentsline {section}{\numberline {D.6}La chute libre}{179}
\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.}{179}
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{179}
\contentsline {section}{\numberline {D.7}Le canon horizontal}{179}
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{180}
\contentsline {chapter}{\numberline {E}Rotations}{181}
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{181}
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{181}
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{183}
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{183}
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{185}
\contentsline {section}{\numberline {F.1}La position}{185}
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{185}
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{185}
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{186}
\contentsline {chapter}{\numberline {G}Chute de la Lune}{187}
\contentsline {section}{\numberline {G.1}Introduction}{187}
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{187}
\contentsline {section}{\numberline {G.3}Force de gravitation}{188}
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{189}
\contentsline {section}{\numberline {H.1}Introduction}{189}
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{189}
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{189}
\contentsline {section}{\numberline {H.4}Loi de Kepler}{190}
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{191}
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{191}
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{192}
\contentsline {section}{\numberline {I.3}Invariance}{193}
\contentsline {section}{\numberline {I.4}Forces inertielles}{193}
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{193}
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{194}
\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}{207}
\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}{214}
\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}{231}
\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}{246}
\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}