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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 53161, 1568]*) (*NotebookOutlinePosition[ 53837, 1592]*) (* CellTagsIndexPosition[ 53793, 1588]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Corrig\[EAcute]", "Title", FormatType->TextForm], Cell[TextData[StyleBox["Exercice 1", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[{ \(d*rho /. {d -> 0.917, rho -> 999.84}\ \), "\[IndentingNewLine]", \(d*rho /. {d \[Rule] 1.526, rho \[Rule] 1.293}\)}], "Input"], Cell[BoxData[ \(916.85328`\)], "Output"], Cell[BoxData[ \(1.973118`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 2", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(rho/rhoeau /. {rho \[Rule] 13.59*10^3, rhoeau \[Rule] 999.84}\)], "Input"], Cell[BoxData[ \(13.592174747959675`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 3", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(4/3*Pi*r^3*rho /. {r \[Rule] 0.015, rho \[Rule] 7.7*10^3}\)], "Input"], Cell[BoxData[ \(0.10885618544688631`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 4", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(Pi*r^2*h*rho /. {r \[Rule] 35/10, h \[Rule] 70, rho \[Rule] 3. }\)], "Input"], Cell[BoxData[ \(8081.747101359742`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 5", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(2 Sqrt[m/\((Pi*rho*l)\)] /. {m \[Rule] 30, rho \[Rule] 8.92*10^3, l \[Rule] 250}\)], "Input"], Cell[BoxData[ \(0.00413869340650272`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 6", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(\((3 m/\((4*Pi*rho)\))\)^\((1/3)\) /. {m \[Rule] 1, rho \[Rule] 2.7}\)], "Input"], Cell[BoxData[ \(0.44550153919065866`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 7", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(m*v/\((m + M)\) /. {v \[Rule] 4, m \[Rule] 60, M \[Rule] 20}\)], "Input"], Cell[BoxData[ \(3\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 8", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(\((m + M)\) w/m /. {m \[Rule] 0.003, M \[Rule] 3, w \[Rule] 0.4}\)], "Input"], Cell[BoxData[ \(400.40000000000003`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 9", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(\((m1*v1 + m2*v2)\)/\((m1 + m2)\) /. {m1 \[Rule] 100, v1 \[Rule] 5, m2 \[Rule] 300, v2 \[Rule] \(-1. \)}\)], "Input"], Cell[BoxData[ \(0.5`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 10", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(\((M*U + m*u)\)/\((M + m)\) /. {M \[Rule] 1, U \[Rule] 2, m \[Rule] 0.02, u \[Rule] 500}\)], "Input"], Cell[BoxData[ \(11.76470588235294`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\((\((M + m)\) U + m*u)\)/\((M + 2 m)\) /. {M \[Rule] 1, U \[Rule] 11.76, m \[Rule] 0.02, u \[Rule] \(-500\)}\)], "Input"], Cell[BoxData[ \(1.9184615384615389`\)], "Output"] }, Open ]], Cell[TextData[StyleBox["Exercice 11", FontFamily->"Arial"]], "Text", FormatType->TextForm], Cell[CellGroupData[{ Cell[BoxData[ \(m2*w2/\((v1 - 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