\select@language {english} \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}{30} \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 {subsubsection}{Une dimension}{37} \contentsline {subsubsection}{Deux dimensions}{37} \contentsline {subsubsection}{Trois 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 (MRU)}{39} \contentsline {subsubsection}{D\IeC {\'e}finition}{39} \contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{40} \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)}{42} \contentsline {subsubsection}{D\IeC {\'e}finition}{42} \contentsline {subsubsection}{Propri\IeC {\'e}t\IeC {\'e}s}{42} \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}{43} \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}{45} \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}{48} \contentsline {subsection}{\numberline {2.5.7}Lois de Kepler}{49} \contentsline {chapter}{\numberline {3}La m\IeC {\'e}canique}{53} \contentsline {section}{\numberline {3.1}La ``m\IeC {\'e}canique'' d'Aristote}{53} \contentsline {subsection}{\numberline {3.1.1}Introduction}{53} \contentsline {subsection}{\numberline {3.1.2}Platon}{53} \contentsline {subsection}{\numberline {3.1.3}Aristote}{54} \contentsline {subsubsection}{Cin\IeC {\'e}matique}{54} \contentsline {subsubsection}{Dynamique}{54} \contentsline {section}{\numberline {3.2}M\IeC {\'e}canique de Newton}{57} \contentsline {subsection}{\numberline {3.2.1}Introduction}{57} \contentsline {subsection}{\numberline {3.2.2}M\IeC {\'e}canique}{57} \contentsline {subsubsection}{Les trois lois de Newton}{57} \contentsline {subsubsection}{Force ext\IeC {\'e}rieure}{58} \contentsline {subsubsection}{Exemples}{59} \contentsline {subsection}{\numberline {3.2.3}Types de forces}{60} \contentsline {subsubsection}{Loi de la gravitation universelle}{60} \contentsline {subsubsection}{Le poids}{61} \contentsline {paragraph}{Exemple}{62} \contentsline {subsubsection}{Masse et poids}{62} \contentsline {subsubsection}{Poids apparent}{63} \contentsline {subsubsection}{Gravitation et MCU}{64} \contentsline {subsubsection}{Troisi\IeC {\`e}me loi de Kepler}{65} \contentsline {subsubsection}{Les mar\IeC {\'e}es}{67} \contentsline {subsubsection}{Le frottement}{71} \contentsline {paragraph}{Exemple}{72} \contentsline {subsubsection}{La force d'un ressort}{72} \contentsline {paragraph}{Exemple}{73} \contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{75} \contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{75} \contentsline {subsection}{\numberline {4.1.1}Dimensions}{75} \contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{75} \contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{75} \contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{75} \contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{75} \contentsline {subsubsection}{produit scalaire}{76} \contentsline {subsubsection}{Produit vectoriel}{76} \contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{76} \contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{76} \contentsline {subsubsection}{Position}{76} \contentsline {subsubsection}{Vitesse}{77} \contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{77} \contentsline {subsection}{\numberline {4.3.2}Dynamique}{77} \contentsline {subsubsection}{Premi\IeC {\`e}re loi}{77} \contentsline {subsubsection}{Seconde loi}{77} \contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{77} \contentsline {section}{\numberline {4.4}Exemples}{77} \contentsline {subsection}{\numberline {4.4.1}Statique}{77} \contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{78} \contentsline {subsection}{\numberline {4.4.3}Balistique}{80} \contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme : MCU}{82} \contentsline {subsubsection}{D\IeC {\'e}finition}{82} \contentsline {subsubsection}{Cin\IeC {\'e}matique}{82} \contentsline {subsubsection}{Relation importante}{83} \contentsline {subsubsection}{Dynamique}{84} \contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{84} \contentsline {paragraph}{Vitesses minimales}{84} \contentsline {paragraph}{Vitesses maximales}{85} \contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{86} \contentsline {subsubsection}{Introduction}{86} \contentsline {subsubsection}{Th\IeC {\'e}oriquement}{86} \contentsline {subsubsection}{Num\IeC {\'e}riquement}{86} \contentsline {subsection}{\numberline {4.4.6}Mouvement central}{87} \contentsline {subsubsection}{Mouvement kepleriens}{87} \contentsline {subsubsection}{Loi de Kepler}{87} \contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{89} \contentsline {section}{\numberline {5.1}Introduction}{89} \contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{89} \contentsline {subsection}{\numberline {5.2.1}Exemples}{90} \contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} : MRUA}{90} \contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{90} \contentsline {section}{\numberline {5.3}Dynamique}{91} \contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{91} \contentsline {subsubsection}{Chute libre}{91} \contentsline {subsubsection}{Freinage}{91} \contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{91} \contentsline {subsubsection}{Chute dans un fluide visqueux}{91} \contentsline {subsubsection}{Mouvement harmonique}{93} \contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{94} \contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{95} \contentsline {chapter}{\numberline {6}Impulsion et quantit\IeC {\'e} de mouvement}{97} \contentsline {section}{\numberline {6.1}Introduction}{97} \contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{97} \contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{97} \contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{98} \contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{98} \contentsline {subsection}{\numberline {6.4.1}Exemple}{98} \contentsline {section}{\numberline {6.5}Choc parfaitement mou}{99} \contentsline {subsection}{\numberline {6.5.1}Exemple}{99} \contentsline {section}{\numberline {6.6}choc bidimentionnel}{100} \contentsline {subsection}{\numberline {6.6.1}Exemple}{100} \contentsline {section}{\numberline {6.7}Impulsion}{100} \contentsline {section}{\numberline {6.8}Impulsion et quantit\IeC {\'e} de mouvement}{100} \contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{101} \contentsline {section}{\numberline {7.1}Introduction}{101} \contentsline {section}{\numberline {7.2}Travail}{101} \contentsline {section}{\numberline {7.3}Puissance}{102} \contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{102} \contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{103} \contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{103} \contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103} \contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{105} \contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{105} \contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{106} \contentsline {subsubsection}{Exemple}{107} \contentsline {subsubsection}{Types de turbines}{107} \contentsline {subsubsection}{Alternateur}{107} \contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{108} \contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{108} \contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{109} \contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{110} \contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{111} \contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{112} \contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{113} \contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{113} \contentsline {subsubsection}{Fission}{113} \contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{115} \contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{115} \contentsline {subsubsection}{Fusion}{115} \contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion : p\IeC {\'e}trole et gaz}{116} \contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{119} \contentsline {section}{\numberline {8.1}Introduction}{119} \contentsline {section}{\numberline {8.2}Le travail}{119} \contentsline {subsection}{\numberline {8.2.1}Historiquement}{119} \contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{120} \contentsline {subsubsection}{Travail simple}{120} \contentsline {subsubsection}{Travail et produit scalaire}{120} \contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{120} \contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{121} \contentsline {subsection}{\numberline {8.3.1}Introduction}{121} \contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{122} \contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{122} \contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{122} \contentsline {subsection}{\numberline {8.3.5}Exemple}{122} \contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{123} \contentsline {subsection}{\numberline {8.4.1}Introduction}{123} \contentsline {subsection}{\numberline {8.4.2}Th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{123} \contentsline {subsection}{\numberline {8.4.3}Exemples}{123} \contentsline {section}{\numberline {8.5}Limite du th\IeC {\'e}or\IeC {\`e}me de conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{124} \contentsline {section}{\numberline {8.6}Forces conservatives}{124} \contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{124} \contentsline {subsection}{\numberline {8.6.2}Exemple}{124} \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}{212} \contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{212} \contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{213} \contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{213} \contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{213} \contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{214} \contentsline {section}{\numberline {L.2}Solutions}{214} \contentsline {section}{\numberline {L.3}Solutions OS}{220} \contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{221} \contentsline {section}{\numberline {M.1}Ordre de grandeur}{221} \contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{221} \contentsline {section}{\numberline {M.3}Incertitude}{222}