Création du premier problème d'OS.
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@ -858,6 +858,32 @@ Attention, cette ``procédure\index{procédure}'', qui présente beaucoup d'avan
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\begin{exos}
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Soient deux masses, la première, de valeur M=\unit{5}{\kilo\gram}, posée sur un plan horizontal sans frottements et la seconde, m=\unit{2}{\kilo\gram}, reliée à la première par une corde sans masse et pendant dans le vide, comme présenté sur la figure \ref{pendante}.
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On lâche la première à vitesse initiale nulle. Calculez la vitesse de la seconde alors que la première à parcouru une distance de \unit{50}{\centi\metre}. Réponse~:\unit{2,8}{\metre\per\second}.
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\begin{solos}
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On commence par choisir le système. Pour éviter de devoir calculer la tension dans la corde, on le choisit comme constitué de la corde et des deux masses M et m.
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Les forces extérieures sont alors au nombre de trois. Le plan horizontal exerce sur la masse M une force de soutient verticale égale et opposée à son poids (mais qui ne sont pas l'action et la réaction l'une de l'autre), puisque la masse se déplace horizontalement. Ces deux forces s'annulent donc. Reste le poids de la masse m, seule force extérieure à agir pour accélérer le système.
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On peut donc écrire, selon la seconde loi de Newton~:
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\[\sum F^{ext}=m\cdot g=(M+m)\cdot a\]
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où M+m est la masse du système. Ainsi, finalement, on peut calculer la valeur de l'accélération~:
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\begin{align*}
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&m\cdot g=(M+m)\cdot a\;\Rightarrow\\
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&a=\frac{m}{M+m}\cdot g=\frac{2}{5}\cdot 9,81=\unit{3,924}{\metre\per\second\squared}
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\end{align*}
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\medskip
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À partir de l'accélération, on peut ensuite calculer la vitesse au bout d'un mètre, grâce à l'équation du MRUA~:
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\begin{align*}
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v^2&=v_0^2+2\cdot a\cdot d\;\Rightarrow\\
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v^2&=0+2\cdot 3,924\cdot 1\;\Rightarrow\\
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v&=\sqrt{2\cdot 3,924}=\unit{2,8}{\metre\per\second}
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\end{align*}
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\end{solos}
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\end{exos}
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\begin{exos}
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\begin{exos}
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Un exercice de test.
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Un exercice de test.
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@ -653,7 +653,23 @@ macro:->Voir
|
|||||||
\url
|
\url
|
||||||
=http://fr.wikipedia.org/wiki/Image:Sadi_Carnot.jpeg=
|
=http://fr.wikipedia.org/wiki/Image:Sadi_Carnot.jpeg=
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||||||
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|
||||||
|
macro:->Voir
|
||||||
|
le
|
||||||
|
site
|
||||||
|
de
|
||||||
|
l'encyclopédie
|
||||||
|
:\\
|
||||||
|
http://fr.wikipedia.org/wiki/Masse\_atomique
|
||||||
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|
||||||
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|
||||||
|
macro:->Voir
|
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|
Wikipedia
|
||||||
|
:
|
||||||
|
\url
|
||||||
|
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|
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|
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|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -676,15 +692,15 @@ auteur
|
|||||||
Luc
|
Luc
|
||||||
Viatour.
|
Viatour.
|
||||||
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||||||
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|
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||||||
macro:->\url
|
|
||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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|
||||||
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||||||
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macro:->Voir
|
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||||||
le
|
le
|
||||||
site
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site
|
||||||
@ -701,7 +717,7 @@ copyright
|
|||||||
de
|
de
|
||||||
l'image.
|
l'image.
|
||||||
\@endanenote
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||||||
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|
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|
||||||
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|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -721,14 +737,14 @@ Remerciements
|
|||||||
la
|
la
|
||||||
NASA.
|
NASA.
|
||||||
\@endanenote
|
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|
||||||
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|
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|
||||||
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|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
\url
|
\url
|
||||||
=http://www.dil.univ-mrs.fr/~gispert/enseignement/astronomie/5eme_partie/voieLactee.php=
|
=http://www.dil.univ-mrs.fr/~gispert/enseignement/astronomie/5eme_partie/voieLactee.php=
|
||||||
\@endanenote
|
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|
||||||
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|
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|
||||||
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|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -739,7 +755,7 @@ Wikipedia
|
|||||||
\url
|
\url
|
||||||
=http://commons.wikimedia.org/wiki/Image:Galileo_Galilei\%2C_Discorsi_e_Dimostrazioni_Matematiche_Intorno_a_Due_Nuove_Scienze\%2C_1638_\%281400x1400\%29.png=.
|
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|
||||||
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||||||
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|
||||||
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|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -760,7 +776,7 @@ Remerciements
|
|||||||
la
|
la
|
||||||
NASA.
|
NASA.
|
||||||
\@endanenote
|
\@endanenote
|
||||||
\@doanenote {99}
|
\@doanenote {102}
|
||||||
macro:->Voir
|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -783,7 +799,7 @@ auteur
|
|||||||
Samuel
|
Samuel
|
||||||
Wantman.
|
Wantman.
|
||||||
\@endanenote
|
\@endanenote
|
||||||
\@doanenote {101}
|
\@doanenote {104}
|
||||||
macro:->Voir
|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -800,7 +816,7 @@ copyright
|
|||||||
de
|
de
|
||||||
l'image.
|
l'image.
|
||||||
\@endanenote
|
\@endanenote
|
||||||
\@doanenote {102}
|
\@doanenote {105}
|
||||||
macro:->Voir
|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -810,7 +826,7 @@ RhônEole
|
|||||||
\url
|
\url
|
||||||
=http://www.rhoneole.ch/=
|
=http://www.rhoneole.ch/=
|
||||||
\@endanenote
|
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|
||||||
\@doanenote {103}
|
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|
||||||
macro:->Voir
|
macro:->Voir
|
||||||
le
|
le
|
||||||
site
|
site
|
||||||
@ -820,7 +836,7 @@ Juvent
|
|||||||
\url
|
\url
|
||||||
=http://www.juvent.ch/=
|
=http://www.juvent.ch/=
|
||||||
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|
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|
||||||
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|
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|
||||||
macro:->Voir
|
macro:->Voir
|
||||||
les
|
les
|
||||||
sites
|
sites
|
||||||
@ -833,7 +849,7 @@ et
|
|||||||
\url
|
\url
|
||||||
=http://www.ader.ch/energieaufutur/energies/geothermie/index2.php=
|
=http://www.ader.ch/energieaufutur/energies/geothermie/index2.php=
|
||||||
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|
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||||||
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|
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|
||||||
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|
macro:->voir
|
||||||
dépliant
|
dépliant
|
||||||
``Nos
|
``Nos
|
||||||
@ -848,7 +864,7 @@ site
|
|||||||
\url
|
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|
||||||
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||||||
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||||||
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|
||||||
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l'article
|
||||||
complet
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complet
|
||||||
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@ -59,62 +59,116 @@
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|||||||
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\contentsline {figure}{\numberline {4.3}{\ignorespaces Le plan inclin\IeC {\'e}\relax }}{79}
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\contentsline {figure}{\numberline {4.4}{\ignorespaces Tir balistique\relax }}{80}
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\contentsline {figure}{\numberline {4.5}{\ignorespaces Ancienne turbine Pelton}}{81}
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\contentsline {figure}{\numberline {4.5}{\ignorespaces Tirs balistiques\relax }}{82}
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\contentsline {figure}{\numberline {4.8}{\ignorespaces Tube de vent\relax }}{83}
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\contentsline {figure}{\numberline {4.6}{\ignorespaces Parabole de s\IeC {\'e}curit\IeC {\'e}\relax }}{82}
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\contentsline {figure}{\numberline {4.7}{\ignorespaces Mouvement circulaire uniforme\relax }}{83}
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\contentsline {figure}{\numberline {4.10}{\ignorespaces Effet photo\IeC {\'e}lectrique}}{85}
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\contentsline {figure}{\numberline {4.8}{\ignorespaces Virages inclin\IeC {\'e} : vitesse minimale\relax }}{84}
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\contentsline {figure}{\numberline {4.9}{\ignorespaces Virages inclin\IeC {\'e} : vitesses minimale\relax }}{84}
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\contentsline {figure}{\numberline {4.10}{\ignorespaces Virages inclin\IeC {\'e} : vitesse maximale\relax }}{85}
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\contentsline {figure}{\numberline {4.13}{\ignorespaces Fission de l'uranium\relax }}{88}
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\contentsline {figure}{\numberline {4.16}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de l'\IeC {\'e}nergie\relax }}{91}
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\contentsline {figure}{\numberline {5.2}{\ignorespaces Chute dans un fluide visqueux\relax }}{93}
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\contentsline {figure}{\numberline {5.3}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de thermodynamique\relax }}{98}
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\contentsline {figure}{\numberline {7.1}{\ignorespaces Puissance}}{102}
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\contentsline {figure}{\numberline {7.3}{\ignorespaces Barrage d'Emosson}}{106}
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\contentsline {figure}{\numberline {7.4}{\ignorespaces Turbine Pelton}}{107}
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\contentsline {figure}{\numberline {7.5}{\ignorespaces Ancienne turbine Pelton}}{107}
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\contentsline {figure}{\numberline {7.6}{\ignorespaces \IeC {\'E}olienne}}{108}
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\contentsline {figure}{\numberline {7.7}{\ignorespaces Pale d'\IeC {\'e}olienne}}{108}
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\contentsline {figure}{\numberline {7.8}{\ignorespaces Tube de vent\relax }}{109}
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\contentsline {figure}{\numberline {7.9}{\ignorespaces Solaire thermique}}{111}
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\contentsline {figure}{\numberline {7.10}{\ignorespaces Effet photo\IeC {\'e}lectrique}}{111}
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\contentsline {figure}{\numberline {7.11}{\ignorespaces Cellule photo\IeC {\'e}lectrique}}{112}
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\contentsline {figure}{\numberline {7.12}{\ignorespaces Applications de la g\IeC {\'e}othermie}}{113}
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\contentsline {figure}{\numberline {7.13}{\ignorespaces Fission de l'uranium\relax }}{114}
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\contentsline {figure}{\numberline {7.14}{\ignorespaces R\IeC {\'e}acteur nucl\IeC {\'e}aire\relax }}{114}
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\contentsline {figure}{\numberline {7.15}{\ignorespaces Combustion du m\IeC {\'e}thane}}{116}
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\contentsline {figure}{\numberline {7.16}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de l'\IeC {\'e}nergie\relax }}{117}
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\contentsline {figure}{\numberline {8.1}{\ignorespaces \IeC {\'E}nergie et vitesse\relax }}{119}
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\contentsline {figure}{\numberline {C.2}{\ignorespaces Taille de la lune}}{109}
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\contentsline {figure}{\numberline {8.2}{\ignorespaces Balance \IeC {\`a} fl\IeC {\'e}au\relax }}{119}
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\contentsline {figure}{\numberline {8.3}{\ignorespaces Travail simple\relax }}{120}
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\contentsline {figure}{\numberline {8.4}{\ignorespaces Travail et produit scalaire\relax }}{120}
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\contentsline {figure}{\numberline {8.5}{\ignorespaces Travail en g\IeC {\'e}n\IeC {\'e}ral\relax }}{121}
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\contentsline {figure}{\numberline {8.6}{\ignorespaces Travail du poids\relax }}{125}
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\addvspace {10\p@ }
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\addvspace {10\p@ }
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\contentsline {figure}{\numberline {D.1}{\ignorespaces Rail horizontal}}{114}
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\contentsline {figure}{\numberline {D.2}{\ignorespaces Chute libre\relax }}{115}
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\contentsline {subfigure}{\numberline {(a)}{\ignorespaces {Fahrenheit}}}{128}
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\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Kelvin}}}{128}
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\contentsline {figure}{\numberline {9.2}{\ignorespaces Changements d'\IeC {\'e}tats\relax }}{130}
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\contentsline {figure}{\numberline {9.3}{\ignorespaces R\IeC {\'e}sum\IeC {\'e} de thermodynamique\relax }}{132}
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\addvspace {10\p@ }
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\contentsline {figure}{\numberline {10.1}{\ignorespaces Dilatation lin\IeC {\'e}aire\relax }}{134}
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\contentsline {figure}{\numberline {E.2}{\ignorespaces Le Soleil dans la Voie Lact\IeC {\'e}e}}{123}
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\contentsline {figure}{\numberline {10.2}{\ignorespaces Fusible bilame\relax }}{134}
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\contentsline {figure}{\numberline {10.3}{\ignorespaces Dilatation volumique\relax }}{134}
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\contentsline {figure}{\numberline {10.4}{\ignorespaces Travail et diagramme P-V\relax }}{142}
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\contentsline {figure}{\numberline {10.5}{\ignorespaces Transformation isobare\relax }}{144}
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\contentsline {figure}{\numberline {10.6}{\ignorespaces Transformation isochore\relax }}{145}
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\contentsline {figure}{\numberline {10.7}{\ignorespaces Transformation isotherme\relax }}{145}
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\contentsline {figure}{\numberline {10.8}{\ignorespaces Transformation adiabatique\relax }}{146}
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\contentsline {figure}{\numberline {10.10}{\ignorespaces Diagramme d'\IeC {\'e}tat\relax }}{149}
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\contentsline {subfigure}{\numberline {(b)}{\ignorespaces {Compression}}}{151}
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\contentsline {subfigure}{\numberline {(c)}{\ignorespaces {Allumage}}}{151}
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\contentsline {figure}{\numberline {C.2}{\ignorespaces Taille de la lune}}{167}
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\contentsline {figure}{\numberline {D.2}{\ignorespaces Chute libre\relax }}{173}
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\contentsline {figure}{\numberline {G.1}{\ignorespaces Chute de la lune\relax }}{185}
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\contentsline {figure}{\numberline {I.1}{\ignorespaces Transformation de galil\IeC {\'e}e}}{190}
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\contentsline {figure}{\numberline {J.2}{\ignorespaces Syst\IeC {\`e}me Terre-Lune\relax }}{196}
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\contentsline {figure}{\numberline {J.3}{\ignorespaces Syst\IeC {\`e}me Terre-Lune-eau\relax }}{196}
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\contentsline {figure}{\numberline {J.4}{\ignorespaces D\IeC {\'e}calage horaire}}{198}
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\contentsline {figure}{\numberline {J.5}{\ignorespaces Vives et mortes eaux}}{198}
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\contentsline {figure}{\numberline {J.6}{\ignorespaces Limite de Roche}}{200}
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\contentsline {figure}{\numberline {J.7}{\ignorespaces Limite de Roche}}{201}
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\contentsline {figure}{\numberline {K.1}{\ignorespaces Le barrage du Ch\IeC {\^a}telot}}{203}
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\contentsline {figure}{\numberline {L.1}{\ignorespaces Le rayon de la Terre par Eratosth\IeC {\`e}ne\relax }}{208}
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\contentsline {figure}{\numberline {L.2}{\ignorespaces La poulie}}{212}
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\contentsline {figure}{\numberline {L.3}{\ignorespaces Un ascenseur\relax }}{214}
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\contentsline {table}{\numberline {10.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{134}
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\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{160}
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\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{160}
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\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{173}
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\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{221}
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\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{222}
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\usepackage[arrow,matrix,tips,frame]{xy}
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%\renewcommand{\bibname}{Bibliographie}
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\usepackage[DF]{optional} % Pour réaliser le cours de base de Discipline Fondamentale (DF)
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%\usepackage[DF]{optional} % Pour réaliser le cours de base de Discipline Fondamentale (DF)
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%\usepackage[OS]{optional} % Pour réaliser le cours complet d'Option Spécifique (OS)
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\usepackage[OS]{optional} % Pour réaliser le cours complet d'Option Spécifique (OS)
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% La commande pour ajouter les parties d'OS est \opt{OS}{parties}
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@ -89,177 +89,314 @@
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\contentsline {paragraph}{Exemple}{72}
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\contentsline {paragraph}{Exemple}{72}
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||||||
\contentsline {subsubsection}{La force d'un ressort}{72}
|
\contentsline {subsubsection}{La force d'un ressort}{72}
|
||||||
\contentsline {paragraph}{Exemple}{73}
|
\contentsline {paragraph}{Exemple}{73}
|
||||||
\contentsline {chapter}{\numberline {4}L'\IeC {\'e}nergie}{75}
|
\contentsline {chapter}{\numberline {4}M\IeC {\'e}canique en plusieurs dimensions}{75}
|
||||||
\contentsline {section}{\numberline {4.1}Introduction}{75}
|
\contentsline {section}{\numberline {4.1}Pr\IeC {\'e}liminaires}{75}
|
||||||
\contentsline {section}{\numberline {4.2}Travail}{75}
|
\contentsline {subsection}{\numberline {4.1.1}Dimensions}{75}
|
||||||
\contentsline {section}{\numberline {4.3}Puissance}{76}
|
\contentsline {subsection}{\numberline {4.1.2}Syst\IeC {\`e}me d'axes}{75}
|
||||||
\contentsline {section}{\numberline {4.4}\IeC {\'E}nergie potentielle}{76}
|
\contentsline {section}{\numberline {4.2}Notion de vecteur en physique}{75}
|
||||||
\contentsline {section}{\numberline {4.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{77}
|
\contentsline {subsection}{\numberline {4.2.1}Norme d'un vecteur}{75}
|
||||||
\contentsline {section}{\numberline {4.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{77}
|
\contentsline {subsection}{\numberline {4.2.2}Op\IeC {\'e}rations vectorielles}{75}
|
||||||
\contentsline {section}{\numberline {4.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{77}
|
\contentsline {subsubsection}{produit scalaire}{76}
|
||||||
\contentsline {section}{\numberline {4.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{79}
|
\contentsline {subsubsection}{Produit vectoriel}{76}
|
||||||
\contentsline {section}{\numberline {4.9}\IeC {\'E}nergies renouvelables}{79}
|
\contentsline {section}{\numberline {4.3}M\IeC {\'e}canique}{76}
|
||||||
\contentsline {subsection}{\numberline {4.9.1}\IeC {\'E}nergie hydraulique}{80}
|
\contentsline {subsection}{\numberline {4.3.1}Cin\IeC {\'e}matique}{76}
|
||||||
\contentsline {subsubsection}{Exemple}{81}
|
\contentsline {subsubsection}{Position}{76}
|
||||||
\contentsline {subsubsection}{Types de turbines}{81}
|
\contentsline {subsubsection}{Vitesse}{77}
|
||||||
\contentsline {subsubsection}{Alternateur}{81}
|
\contentsline {subsubsection}{Acc\IeC {\'e}l\IeC {\'e}ration}{77}
|
||||||
\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{82}
|
\contentsline {subsection}{\numberline {4.3.2}Dynamique}{77}
|
||||||
\contentsline {subsection}{\numberline {4.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{82}
|
\contentsline {subsubsection}{Premi\IeC {\`e}re loi}{77}
|
||||||
\contentsline {subsection}{\numberline {4.9.3}\IeC {\'E}nergie solaire}{83}
|
\contentsline {subsubsection}{Seconde loi}{77}
|
||||||
\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{84}
|
\contentsline {subsubsection}{Troisi\IeC {\`e}me loi}{77}
|
||||||
\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{85}
|
\contentsline {section}{\numberline {4.4}Exemples}{77}
|
||||||
\contentsline {subsection}{\numberline {4.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{86}
|
\contentsline {subsection}{\numberline {4.4.1}Statique}{77}
|
||||||
\contentsline {section}{\numberline {4.10}\IeC {\'E}nergies non renouvelables}{87}
|
\contentsline {subsection}{\numberline {4.4.2}Plan inclin\IeC {\'e}}{78}
|
||||||
\contentsline {subsection}{\numberline {4.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{87}
|
\contentsline {subsection}{\numberline {4.4.3}Balistique}{80}
|
||||||
\contentsline {subsubsection}{Fission}{87}
|
\contentsline {subsection}{\numberline {4.4.4}Mouvement circulaire uniforme : MCU}{82}
|
||||||
\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{89}
|
\contentsline {subsubsection}{D\IeC {\'e}finition}{82}
|
||||||
\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{89}
|
\contentsline {subsubsection}{Cin\IeC {\'e}matique}{82}
|
||||||
\contentsline {subsubsection}{Fusion}{89}
|
\contentsline {subsubsection}{Relation importante}{83}
|
||||||
\contentsline {subsection}{\numberline {4.10.2}\IeC {\'E}nergie de combustion : p\IeC {\'e}trole et gaz}{90}
|
\contentsline {subsubsection}{Dynamique}{84}
|
||||||
\contentsline {chapter}{\numberline {5}Thermodynamique}{93}
|
\contentsline {subsubsection}{Virages inclin\IeC {\'e}s}{84}
|
||||||
\contentsline {section}{\numberline {5.1}Introduction}{93}
|
\contentsline {paragraph}{Vitesses minimales}{84}
|
||||||
\contentsline {section}{\numberline {5.2}Temp\IeC {\'e}rature}{93}
|
\contentsline {paragraph}{Vitesses maximales}{85}
|
||||||
\contentsline {subsection}{\numberline {5.2.1}Celsius}{93}
|
\contentsline {subsection}{\numberline {4.4.5}Satellite en orbite g\IeC {\'e}ostationnaire}{86}
|
||||||
\contentsline {subsection}{\numberline {5.2.2}Fahrenheit}{93}
|
\contentsline {subsubsection}{Introduction}{86}
|
||||||
\contentsline {subsection}{\numberline {5.2.3}Kelvin}{94}
|
\contentsline {subsubsection}{Th\IeC {\'e}oriquement}{86}
|
||||||
\contentsline {subsection}{\numberline {5.2.4}Agitation mol\IeC {\'e}culaire}{94}
|
\contentsline {subsubsection}{Num\IeC {\'e}riquement}{86}
|
||||||
\contentsline {section}{\numberline {5.3}Dilatation}{94}
|
\contentsline {subsection}{\numberline {4.4.6}Mouvement central}{87}
|
||||||
\contentsline {section}{\numberline {5.4}Chaleur}{95}
|
\contentsline {subsubsection}{Mouvement kepleriens}{87}
|
||||||
\contentsline {subsection}{\numberline {5.4.1}Chaleur sp\IeC {\'e}cifique}{95}
|
\contentsline {subsubsection}{Loi de Kepler}{87}
|
||||||
\contentsline {subsection}{\numberline {5.4.2}Chaleur latente}{95}
|
\contentsline {chapter}{\numberline {5}M\IeC {\'e}canique diff\IeC {\'e}rentielle}{89}
|
||||||
\contentsline {section}{\numberline {5.5}\IeC {\'E}nergie thermique}{96}
|
\contentsline {section}{\numberline {5.1}Introduction}{89}
|
||||||
\contentsline {subsection}{\numberline {5.5.1}Premier principe}{97}
|
\contentsline {section}{\numberline {5.2}Cin\IeC {\'e}matique}{89}
|
||||||
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{99}
|
\contentsline {subsection}{\numberline {5.2.1}Exemples}{90}
|
||||||
\contentsline {section}{\numberline {A.1}Introduction}{99}
|
\contentsline {subsubsection}{Mouvement rectiligne uniform\IeC {\'e}ment acc\IeC {\'e}l\IeC {\'e}r\IeC {\'e} : MRUA}{90}
|
||||||
\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{99}
|
\contentsline {subsubsection}{Port\IeC {\'e} maximum en balistique}{90}
|
||||||
\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{100}
|
\contentsline {section}{\numberline {5.3}Dynamique}{91}
|
||||||
\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{101}
|
\contentsline {subsection}{\numberline {5.3.1}Int\IeC {\'e}gration}{91}
|
||||||
\contentsline {subsection}{\numberline {A.4.1}Exemple}{101}
|
\contentsline {subsubsection}{Chute libre}{91}
|
||||||
\contentsline {section}{\numberline {A.5}Conversions}{101}
|
\contentsline {subsubsection}{Freinage}{91}
|
||||||
\contentsline {section}{\numberline {A.6}Sous-multiples}{102}
|
\contentsline {subsection}{\numberline {5.3.2}\IeC {\'E}quation diff\IeC {\'e}rentielle}{91}
|
||||||
\contentsline {section}{\numberline {A.7}Notation scientifique}{102}
|
\contentsline {subsubsection}{Chute dans un fluide visqueux}{91}
|
||||||
\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{103}
|
\contentsline {subsubsection}{Mouvement harmonique}{93}
|
||||||
\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{105}
|
\contentsline {subsubsection}{Mouvement harmonique d'une masse pendante}{94}
|
||||||
\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{105}
|
\contentsline {subsubsection}{Mouvement non lin\IeC {\'e}aire}{95}
|
||||||
\contentsline {subsection}{\numberline {B.1.1}Introduction}{105}
|
\contentsline {chapter}{\numberline {6}Impulsion et quantit\IeC {\'e} de mouvement}{97}
|
||||||
\contentsline {subsection}{\numberline {B.1.2}Description}{105}
|
\contentsline {section}{\numberline {6.1}Introduction}{97}
|
||||||
\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{105}
|
\contentsline {section}{\numberline {6.2}Quantit\IeC {\'e} de mouvement}{97}
|
||||||
\contentsline {subsection}{\numberline {B.2.1}Introduction}{105}
|
\contentsline {subsection}{\numberline {6.2.1}Masse d'inertie}{97}
|
||||||
\contentsline {subsection}{\numberline {B.2.2}Description}{105}
|
\contentsline {section}{\numberline {6.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{98}
|
||||||
\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{106}
|
\contentsline {section}{\numberline {6.4}Choc parfaitement \IeC {\'e}lastique}{98}
|
||||||
\contentsline {chapter}{\numberline {C}Mesures de distances}{107}
|
\contentsline {subsection}{\numberline {6.4.1}Exemple}{98}
|
||||||
\contentsline {section}{\numberline {C.1}La taille de la Terre}{107}
|
\contentsline {section}{\numberline {6.5}Choc parfaitement mou}{99}
|
||||||
\contentsline {subsection}{\numberline {C.1.1}Le principe}{107}
|
\contentsline {subsection}{\numberline {6.5.1}Exemple}{99}
|
||||||
\contentsline {subsection}{\numberline {C.1.2}Techniquement}{108}
|
\contentsline {section}{\numberline {6.6}choc bidimentionnel}{100}
|
||||||
\contentsline {section}{\numberline {C.2}La taille de la Lune}{109}
|
\contentsline {subsection}{\numberline {6.6.1}Exemple}{100}
|
||||||
\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{109}
|
\contentsline {section}{\numberline {6.7}Impulsion}{100}
|
||||||
\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{110}
|
\contentsline {section}{\numberline {6.8}Impulsion et quantit\IeC {\'e} de mouvement}{100}
|
||||||
\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{112}
|
\contentsline {chapter}{\numberline {7}L'\IeC {\'e}nergie}{101}
|
||||||
\contentsline {chapter}{\numberline {D}Travaux pratiques}{113}
|
\contentsline {section}{\numberline {7.1}Introduction}{101}
|
||||||
\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{113}
|
\contentsline {section}{\numberline {7.2}Travail}{101}
|
||||||
\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{114}
|
\contentsline {section}{\numberline {7.3}Puissance}{102}
|
||||||
\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{114}
|
\contentsline {section}{\numberline {7.4}\IeC {\'E}nergie potentielle}{102}
|
||||||
\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{114}
|
\contentsline {section}{\numberline {7.5}\IeC {\'E}nergie cin\IeC {\'e}tique}{103}
|
||||||
\contentsline {subsubsection}{But}{114}
|
\contentsline {section}{\numberline {7.6}Th\IeC {\'e}or\IeC {\`e}me de l'\IeC {\'e}nergie cin\IeC {\'e}tique}{103}
|
||||||
\contentsline {subsubsection}{Th\IeC {\'e}orie}{114}
|
\contentsline {section}{\numberline {7.7}Conservation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{103}
|
||||||
\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{114}
|
\contentsline {section}{\numberline {7.8}Variation de l'\IeC {\'e}nergie m\IeC {\'e}canique}{105}
|
||||||
\contentsline {subsubsection}{R\IeC {\'e}sultats}{114}
|
\contentsline {section}{\numberline {7.9}\IeC {\'E}nergies renouvelables}{105}
|
||||||
\contentsline {subsubsection}{Discussion}{116}
|
\contentsline {subsection}{\numberline {7.9.1}\IeC {\'E}nergie hydraulique}{106}
|
||||||
\contentsline {subsubsection}{Conclusion}{116}
|
\contentsline {subsubsection}{Exemple}{107}
|
||||||
\contentsline {subsubsection}{Annexes}{116}
|
\contentsline {subsubsection}{Types de turbines}{107}
|
||||||
\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{117}
|
\contentsline {subsubsection}{Alternateur}{107}
|
||||||
\contentsline {subsection}{\numberline {D.2.1}Introduction}{117}
|
\contentsline {subsubsection}{Probl\IeC {\`e}mes rencontr\IeC {\'e}s}{108}
|
||||||
\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{117}
|
\contentsline {subsection}{\numberline {7.9.2}\IeC {\'E}nergie \IeC {\'e}olienne}{108}
|
||||||
\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{117}
|
\contentsline {subsection}{\numberline {7.9.3}\IeC {\'E}nergie solaire}{109}
|
||||||
\contentsline {subsection}{\numberline {D.2.4}Mesures}{117}
|
\contentsline {subsubsection}{\IeC {\'E}nergie solaire thermique}{110}
|
||||||
\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{117}
|
\contentsline {subsubsection}{\IeC {\'E}nergie solaire \IeC {\'e}lectrique}{111}
|
||||||
\contentsline {subsection}{\numberline {D.2.6}Analyse}{117}
|
\contentsline {subsection}{\numberline {7.9.4}\IeC {\'E}nergie g\IeC {\'e}othermique}{112}
|
||||||
\contentsline {section}{\numberline {D.3}Le pendule simple}{117}
|
\contentsline {section}{\numberline {7.10}\IeC {\'E}nergies non renouvelables}{113}
|
||||||
\contentsline {subsection}{\numberline {D.3.1}Les mesures}{117}
|
\contentsline {subsection}{\numberline {7.10.1}\IeC {\'E}nergie nucl\IeC {\'e}aire}{113}
|
||||||
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{118}
|
\contentsline {subsubsection}{Fission}{113}
|
||||||
\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{118}
|
\contentsline {paragraph}{D\IeC {\'e}chets radioactifs}{115}
|
||||||
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{118}
|
\contentsline {paragraph}{Accidents nucl\IeC {\'e}aires}{115}
|
||||||
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{118}
|
\contentsline {subsubsection}{Fusion}{115}
|
||||||
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{118}
|
\contentsline {subsection}{\numberline {7.10.2}\IeC {\'E}nergie de combustion : p\IeC {\'e}trole et gaz}{116}
|
||||||
\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{118}
|
\contentsline {chapter}{\numberline {8}L'\IeC {\'e}nergie}{119}
|
||||||
\contentsline {subsection}{\numberline {D.5.1}But}{118}
|
\contentsline {section}{\numberline {8.1}Introduction}{119}
|
||||||
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{119}
|
\contentsline {section}{\numberline {8.2}Le travail}{119}
|
||||||
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{119}
|
\contentsline {subsection}{\numberline {8.2.1}Historiquement}{119}
|
||||||
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{119}
|
\contentsline {subsection}{\numberline {8.2.2}D\IeC {\'e}finition}{120}
|
||||||
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{119}
|
\contentsline {subsubsection}{Travail simple}{120}
|
||||||
\contentsline {section}{\numberline {D.6}La chute libre}{119}
|
\contentsline {subsubsection}{Travail et produit scalaire}{120}
|
||||||
\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.}{119}
|
\contentsline {subsubsection}{Travail cas g\IeC {\'e}n\IeC {\'e}ral}{120}
|
||||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{119}
|
\contentsline {section}{\numberline {8.3}L'\IeC {\'e}nergie}{121}
|
||||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{119}
|
\contentsline {subsection}{\numberline {8.3.1}Introduction}{121}
|
||||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{120}
|
\contentsline {subsection}{\numberline {8.3.2}\IeC {\'E}nergie potentielle}{122}
|
||||||
\contentsline {chapter}{\numberline {E}Rotations}{121}
|
\contentsline {subsection}{\numberline {8.3.3}\IeC {\'E}nergie cin\IeC {\'e}tique}{122}
|
||||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{121}
|
\contentsline {subsection}{\numberline {8.3.4}\IeC {\'E}nergie m\IeC {\'e}canique}{122}
|
||||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{121}
|
\contentsline {subsection}{\numberline {8.3.5}Exemple}{122}
|
||||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{123}
|
\contentsline {section}{\numberline {8.4}Conservation de l'\IeC {\'e}nergie}{123}
|
||||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{123}
|
\contentsline {subsection}{\numberline {8.4.1}Introduction}{123}
|
||||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{125}
|
\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 {section}{\numberline {F.1}La position}{125}
|
\contentsline {subsection}{\numberline {8.4.3}Exemples}{123}
|
||||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{125}
|
\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 {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{125}
|
\contentsline {section}{\numberline {8.6}Forces conservatives}{124}
|
||||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{126}
|
\contentsline {subsection}{\numberline {8.6.1}D\IeC {\'e}finition}{124}
|
||||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{127}
|
\contentsline {subsection}{\numberline {8.6.2}Exemple}{124}
|
||||||
\contentsline {section}{\numberline {G.1}Introduction}{127}
|
\contentsline {chapter}{\numberline {9}Thermodynamique}{127}
|
||||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{127}
|
\contentsline {section}{\numberline {9.1}Introduction}{127}
|
||||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{128}
|
\contentsline {section}{\numberline {9.2}Temp\IeC {\'e}rature}{127}
|
||||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{129}
|
\contentsline {subsection}{\numberline {9.2.1}Celsius}{127}
|
||||||
\contentsline {section}{\numberline {H.1}Introduction}{129}
|
\contentsline {subsection}{\numberline {9.2.2}Fahrenheit}{127}
|
||||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{129}
|
\contentsline {subsection}{\numberline {9.2.3}Kelvin}{128}
|
||||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{130}
|
\contentsline {subsection}{\numberline {9.2.4}Agitation mol\IeC {\'e}culaire}{128}
|
||||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{130}
|
\contentsline {section}{\numberline {9.3}Dilatation}{128}
|
||||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{131}
|
\contentsline {section}{\numberline {9.4}Chaleur}{129}
|
||||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{131}
|
\contentsline {subsection}{\numberline {9.4.1}Chaleur sp\IeC {\'e}cifique}{129}
|
||||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{132}
|
\contentsline {subsection}{\numberline {9.4.2}Chaleur latente}{129}
|
||||||
\contentsline {section}{\numberline {I.3}Invariance}{133}
|
\contentsline {section}{\numberline {9.5}\IeC {\'E}nergie thermique}{130}
|
||||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{133}
|
\contentsline {subsection}{\numberline {9.5.1}Premier principe}{131}
|
||||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{133}
|
\contentsline {chapter}{\numberline {10}Thermodynamique}{133}
|
||||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{134}
|
\contentsline {section}{\numberline {10.1}Temp\IeC {\'e}rature et dilatation}{133}
|
||||||
\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{137}
|
\contentsline {subsection}{\numberline {10.1.1}Temp\IeC {\'e}rature}{133}
|
||||||
\contentsline {section}{\numberline {J.1}Introduction}{137}
|
\contentsline {subsection}{\numberline {10.1.2}Dilatation}{133}
|
||||||
\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{137}
|
\contentsline {section}{\numberline {10.2}Chaleurs sp\IeC {\'e}cifique et latente}{135}
|
||||||
\contentsline {section}{\numberline {J.3}Force d'inertie}{138}
|
\contentsline {subsection}{\numberline {10.2.1}Introduction}{135}
|
||||||
\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{138}
|
\contentsline {subsection}{\numberline {10.2.2}Chaleur sp\IeC {\'e}cifique}{135}
|
||||||
\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{138}
|
\contentsline {subsubsection}{Chaleur massique}{135}
|
||||||
\contentsline {section}{\numberline {J.4}Poids relatif}{139}
|
\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{136}
|
||||||
\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{139}
|
\contentsline {subsubsection}{Notion de mole}{136}
|
||||||
\contentsline {section}{\numberline {J.6}Autres rythmes}{139}
|
\contentsline {subsubsection}{Chaleur molaire}{136}
|
||||||
\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{140}
|
\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{137}
|
||||||
\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{140}
|
\contentsline {subsubsection}{Chaleur latente}{137}
|
||||||
\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{140}
|
\contentsline {subsubsection}{\IeC {\'E}vaporation}{137}
|
||||||
\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}{141}
|
\contentsline {subsection}{\numberline {10.2.3}Bilan thermique}{138}
|
||||||
\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{141}
|
\contentsline {section}{\numberline {10.3}Loi des gaz parfaits}{139}
|
||||||
\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{141}
|
\contentsline {subsection}{\numberline {10.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{139}
|
||||||
\contentsline {section}{\numberline {J.7}Limite de Roche}{141}
|
\contentsline {subsubsection}{Pression}{139}
|
||||||
\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{142}
|
\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{139}
|
||||||
\contentsline {subsection}{\numberline {J.7.2}Exemples}{143}
|
\contentsline {subsubsection}{Approche intuitive}{139}
|
||||||
\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{145}
|
\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{140}
|
||||||
\contentsline {section}{\numberline {K.1}Introduction}{145}
|
\contentsline {subsection}{\numberline {10.3.2}Gaz parfait}{141}
|
||||||
\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{145}
|
\contentsline {section}{\numberline {10.4}Premier principe}{141}
|
||||||
\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{146}
|
\contentsline {subsection}{\numberline {10.4.1}Chaleur}{141}
|
||||||
\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{146}
|
\contentsline {subsection}{\numberline {10.4.2}Travail}{142}
|
||||||
\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{147}
|
\contentsline {subsection}{\numberline {10.4.3}\IeC {\'E}nergie interne}{142}
|
||||||
\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{147}
|
\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{143}
|
||||||
\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{147}
|
\contentsline {subsection}{\numberline {10.4.4}Premier principe}{143}
|
||||||
\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{147}
|
\contentsline {subsection}{\numberline {10.4.5}Changements d'\IeC {\'e}tats}{143}
|
||||||
\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{148}
|
\contentsline {subsubsection}{Transformation isobare}{144}
|
||||||
\contentsline {chapter}{\numberline {L}Exercices}{149}
|
\contentsline {subsubsection}{Transformation isochore}{144}
|
||||||
\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{149}
|
\contentsline {subsubsection}{Transformation isotherme}{145}
|
||||||
\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{149}
|
\contentsline {subsubsection}{Transformation adiabatique}{146}
|
||||||
\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{150}
|
\contentsline {subsection}{\numberline {10.4.6}Chaleurs sp\IeC {\'e}cifiques}{147}
|
||||||
\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{150}
|
\contentsline {section}{\numberline {10.5}Machines thermiques}{148}
|
||||||
\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{150}
|
\contentsline {subsection}{\numberline {10.5.1}Machine simple}{148}
|
||||||
\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{151}
|
\contentsline {subsection}{\numberline {10.5.2}Moteur \IeC {\`a} explosion}{150}
|
||||||
\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{151}
|
\contentsline {subsection}{\numberline {10.5.3}Moteur Diesel}{152}
|
||||||
\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{152}
|
\contentsline {subsection}{\numberline {10.5.4}Machine de Stirling}{154}
|
||||||
\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{152}
|
\contentsline {subsection}{\numberline {10.5.5}Climatiseur}{154}
|
||||||
\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{154}
|
\contentsline {subsection}{\numberline {10.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{154}
|
||||||
\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{154}
|
\contentsline {subsection}{\numberline {10.5.7}Pompe \IeC {\`a} chaleur}{154}
|
||||||
\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{155}
|
\contentsline {subsection}{\numberline {10.5.8}Cycle de Carnot}{154}
|
||||||
\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{155}
|
\contentsline {section}{\numberline {10.6}Thermodynamique statistique}{154}
|
||||||
\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{155}
|
\contentsline {section}{\numberline {10.7}Second principe}{155}
|
||||||
\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{155}
|
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{157}
|
||||||
\contentsline {section}{\numberline {L.2}Solutions}{156}
|
\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}
|
||||||
|
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@ -1,4 +1,25 @@
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|||||||
\begin{Solution OS}{1}
|
\begin{Solution OS}{1}
|
||||||
|
On commence par choisir le système. Pour éviter de devoir calculer la tension dans la corde, on le choisit comme constitué de la corde et des deux masses M et m.
|
||||||
|
|
||||||
|
Les forces extérieures sont alors au nombre de trois. Le plan horizontal exerce sur la masse M une force de soutient verticale égale et opposée à son poids (mais qui ne sont pas l'action et la réaction l'une de l'autre), puisque la masse se déplace horizontalement. Ces deux forces s'annulent donc. Reste le poids de la masse m, seule force extérieure à agir pour accélérer le système.
|
||||||
|
|
||||||
|
On peut donc écrire, selon la seconde loi de Newton~:
|
||||||
|
\[\sum F^{ext}=m\cdot g=(M+m)\cdot a\]
|
||||||
|
où M+m est la masse du système. Ainsi, finalement, on peut calculer la valeur de l'accélération~:
|
||||||
|
\begin{align*}
|
||||||
|
&m\cdot g=(M+m)\cdot a\;\Rightarrow\\
|
||||||
|
&a=\frac{m}{M+m}\cdot g=\frac{2}{5}\cdot 9,81=\unit{3,924}{\metre\per\second\squared}
|
||||||
|
\end{align*}
|
||||||
|
\medskip
|
||||||
|
À partir de l'accélération, on peut ensuite calculer la vitesse au bout d'un mètre, grâce à l'équation du MRUA~:
|
||||||
|
\begin{align*}
|
||||||
|
v^2&=v_0^2+2\cdot a\cdot d\;\Rightarrow\\
|
||||||
|
v^2&=0+2\cdot 3,924\cdot 1\;\Rightarrow\\
|
||||||
|
v&=\sqrt{2\cdot 3,924}=\unit{2,8}{\metre\per\second}
|
||||||
|
\end{align*}
|
||||||
|
|
||||||
|
\end{Solution OS}
|
||||||
|
\begin{Solution OS}{2}
|
||||||
Un corrigé de test.
|
Un corrigé de test.
|
||||||
|
|
||||||
\end{Solution OS}
|
\end{Solution OS}
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Loading…
Reference in New Issue
Block a user