Ecrit par ✅ Quiz : Conservation De L Energie Mecanique
Ce quiz contient 20 questions.
Note : Placeholder pour valider la structure. Le JSON converti est conservé ci-dessous pour l’import final des vraies questions Tutor LMS.
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{
"quiz_title": "Conservation De L Energie Mecanique",
"quiz_slug": "13_conservation_de_l_energie_mecanique_quiz",
"quiz_description": "Quiz Edu509 : Conservation De L Energie Mecanique",
"quiz_settings": {
"time_limit": {
"time_value": 0,
"time_type": "minutes"
},
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"passing_grade": 70,
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},
"questions": [
{
"question_order": 1,
"question_title": "Un objet de masse \\\\(0{,}5\\\\ \\\\mathrm{kg}\\\\) est lâché sans vitesse initiale d'une hauteur de \\\\(3{,}0\\\\ \\\\mathrm{m}\\\\). Quelle est son énergie mécanique totale (en joules) juste après le lâcher ? (On néglige les frottements, \\\\(g = 9{,}8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L'énergie mécanique initiale est uniquement potentielle : \\\\(E_m = mgh = 0{,}5 \\\\times 9{,}8 \\\\times 3{,}0 = 14,7\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "14,7 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,5 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "9,8 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,5 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Un bloc de \\\\(2,0\\\\ \\\\mathrm{kg}\\\\) glisse sans frottement du haut d’un plan incliné de \\\\(h = 1,5\\\\ \\\\mathrm{m}\\\\). Quelle sera sa vitesse à la base du plan ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\(mgh = \\\\frac{1}{2}mv^2\\\\). \\\\(2,0 \\\\times 9,8 \\\\times 1,5 = 0,5 \\\\times 2,0 \\\\times v^2\\\\) donc \\\\(29,4 = 1,0 \\\\times v^2\\\\), \\\\(v^2 = 29,4\\\\), \\\\(v = \\\\sqrt{29,4} \\\\approx 5,42\\\\ \\\\mathrm{m/s}\\\\).",
"answers": [
{
"answer_title": "5,42 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "3,00 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "7,00 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,50 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "Laquelle des forces suivantes est conservative ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force de gravité est conservative car son travail ne dépend que des positions initiale et finale.",
"answers": [
{
"answer_title": "La force de gravité",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La force de frottement",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "La résistance de l'air",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La force d’un moteur",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Un ressort de constante \\\\(k = 100\\\\ \\\\mathrm{N/m}\\\\) est comprimé de \\\\(0,05\\\\ \\\\mathrm{m}\\\\). Quelle est son énergie potentielle élastique ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L'énergie potentielle élastique est \\\\(E_{pe} = \\\\frac{1}{2}kx^2 = 0,5 \\\\times 100 \\\\times (0,05)^2 = 0,125\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "0,125 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,25 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,50 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,25 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Un objet de \\\\(1,0\\\\ \\\\mathrm{kg}\\\\) tombe de \\\\(h = 4,0\\\\ \\\\mathrm{m}\\\\) sans vitesse initiale. Quelle est sa vitesse juste avant de toucher le sol ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\(mgh = \\\\frac{1}{2}mv^2\\\\). \\\\(1,0 \\\\times 9,8 \\\\times 4,0 = 0,5 \\\\times 1,0 \\\\times v^2\\\\), donc \\\\(39,2 = 0,5v^2\\\\), \\\\(v^2 = 78,4\\\\), \\\\(v = \\\\sqrt{78,4} \\\\approx 8,86\\\\ \\\\mathrm{m/s}\\\\).",
"answers": [
{
"answer_title": "8,86 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "4,00 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "6,26 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "9,80 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Quelle(s) affirmation(s) est/sont vraie(s) concernant la conservation de l'énergie mécanique ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La conservation de l'énergie mécanique n'est valable que si seules les forces conservatives agissent.",
"answers": [
{
"answer_title": "Elle s'applique uniquement si les forces non conservatives sont absentes.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Elle s'applique même en présence de frottements.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Elle ne concerne que l'énergie cinétique.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Elle ne concerne que l'énergie potentielle.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Un pendule de \\\\(0,2\\\\ \\\\mathrm{kg}\\\\) est lâché d'une hauteur de \\\\(0,25\\\\ \\\\mathrm{m}\\\\) au-dessus de sa position la plus basse. Quelle sera sa vitesse à la verticale ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\(mgh = \\\\frac{1}{2}mv^2\\\\). \\\\(0,2 \\\\times 9,8 \\\\times 0,25 = 0,1v^2\\\\), \\\\(0,49 = 0,1v^2\\\\), \\\\(v^2 = 4,9\\\\), \\\\(v = 2,21\\\\ \\\\mathrm{m/s}\\\\).",
"answers": [
{
"answer_title": "2,21 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,40 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,70 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,00 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Un projectile de \\\\(0,3\\\\ \\\\mathrm{kg}\\\\) est lancé verticalement avec \\\\(v_0 = 12,0\\\\ \\\\mathrm{m/s}\\\\). Quelle est la hauteur maximale atteinte ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\(\\\\frac{1}{2}mv_0^2 = mgh_{max}\\\\). \\\\(0,5 \\\\times (12,0)^2 = 9,8h_{max}\\\\), \\\\(72 = 9,8h_{max}\\\\), \\\\(h_{max} = 7,35\\\\ \\\\mathrm{m}\\\\).",
"answers": [
{
"answer_title": "7,35 m",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "6,00 m",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "12,0 m",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "4,41 m",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Un bloc de \\\\(0,4\\\\ \\\\mathrm{kg}\\\\) est attaché à un ressort (\\\\(k = 50\\\\ \\\\mathrm{N/m}\\\\)), comprimé de \\\\(0,08\\\\ \\\\mathrm{m}\\\\), puis lâché. Quelle est sa vitesse à l’équilibre ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Énergie potentielle élastique initiale : \\\\(E_{pe} = 0,5 \\\\times 50 \\\\times (0,08)^2 = 0,16\\\\ \\\\mathrm{J}\\\\). À l’équilibre, \\\\(E_c = 0,5 \\\\times 0,4 \\\\times v^2\\\\). \\\\(0,16 = 0,2v^2\\\\), \\\\(v^2 = 0,8\\\\), \\\\(v = 0,89\\\\ \\\\mathrm{m/s}\\\\).",
"answers": [
{
"answer_title": "1,26 m/s",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "0,80 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2,00 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,50 m/s",
"is_correct": true,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Quelle(s) grandeur(s) a/ont pour unité le joule (\\\\(\\\\mathrm{J}\\\\)) ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L'énergie cinétique et l'énergie potentielle s'expriment en joules.",
"answers": [
{
"answer_title": "L'énergie cinétique",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "L'énergie potentielle",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "La masse",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "La vitesse",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Un objet de \\\\(0,6\\\\ \\\\mathrm{kg}\\\\) est lancé horizontalement à \\\\(v = 5,0\\\\ \\\\mathrm{m/s}\\\\) depuis une hauteur de \\\\(2,0\\\\ \\\\mathrm{m}\\\\). Quelle est son énergie mécanique totale au départ ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Énergie potentielle : \\\\(E_p = 0,6 \\\\times 9,8 \\\\times 2,0 = 11,76\\\\ \\\\mathrm{J}\\\\). Énergie cinétique : \\\\(E_c = 0,5 \\\\times 0,6 \\\\times 25 = 7,5\\\\ \\\\mathrm{J}\\\\). Total : \\\\(11,76 + 7,5 = 19,26\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "15,48 J",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "6,00 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "9,80 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "19,26 J",
"is_correct": true,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Un objet de \\\\(1,2\\\\ \\\\mathrm{kg}\\\\) tombe de \\\\(h = 2,5\\\\ \\\\mathrm{m}\\\\). Quelle est son énergie cinétique juste avant d’atteindre le sol ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Toute l'énergie potentielle se transforme en énergie cinétique : \\\\(E_c = mgh = 1,2 \\\\times 9,8 \\\\times 2,5 = 29,4\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "29,4 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "12,0 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "9,8 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,0 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Dans quel cas l'énergie mécanique ne se conserve-t-elle pas ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La présence de frottements (force non conservative) empêche la conservation de l'énergie mécanique.",
"answers": [
{
"answer_title": "Lorsqu'il y a des frottements",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "En chute libre sans frottement",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Pour un pendule sans résistance de l'air",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Pour un ressort idéal",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Un objet de \\\\(0,8\\\\ \\\\mathrm{kg}\\\\) est lancé verticalement avec \\\\(v_0 = 6,0\\\\ \\\\mathrm{m/s}\\\\). Quelle est son énergie mécanique totale au départ ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Énergie cinétique initiale : \\\\(E_c = 0,5 \\\\times 0,8 \\\\times (6,0)^2 = 0,4 \\\\times 36 = 14,4\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "14,4 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,4 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4,8 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "9,8 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Un ressort de \\\\(k = 60\\\\ \\\\mathrm{N/m}\\\\) est étiré de \\\\(0,10\\\\ \\\\mathrm{m}\\\\). Quelle est son énergie potentielle élastique ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Énergie potentielle élastique : \\\\(E_{pe} = 0,5 \\\\times 60 \\\\times (0,10)^2 = 0,5 \\\\times 60 \\\\times 0,01 = 0,30\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "0,30 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,60 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,10 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,06 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Un objet de \\\\(0,5\\\\ \\\\mathrm{kg}\\\\) est lancé vers le haut avec \\\\(v_0 = 8,0\\\\ \\\\mathrm{m/s}\\\\). Quelle hauteur maximale atteint-il ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\(\\\\frac{1}{2}mv_0^2 = mgh_{max}\\\\). \\\\(0,5 \\\\times (8,0)^2 = 9,8h_{max}\\\\), \\\\(32 = 9,8h_{max}\\\\), \\\\(h_{max} = 3,27\\\\ \\\\mathrm{m}\\\\).",
"answers": [
{
"answer_title": "3,27 m",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,00 m",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4,08 m",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,63 m",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Un bloc de \\\\(1,0\\\\ \\\\mathrm{kg}\\\\) glisse sans frottement sur un plan incliné de \\\\(h = 0,8\\\\ \\\\mathrm{m}\\\\). Quelle est sa vitesse à la base ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On applique \\\\(mgh = \\\\frac{1}{2}mv^2\\\\). \\\\(1,0 \\\\times 9,8 \\\\times 0,8 = 0,5 \\\\times 1,0 \\\\times v^2\\\\), \\\\(7,84 = 0,5v^2\\\\), \\\\(v^2 = 15,68\\\\), \\\\(v = 3,96\\\\ \\\\mathrm{m/s}\\\\).",
"answers": [
{
"answer_title": "3,96 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,80 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4,80 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,00 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Un objet de \\\\(2,0\\\\ \\\\mathrm{kg}\\\\) est lancé horizontalement à \\\\(v = 3,0\\\\ \\\\mathrm{m/s}\\\\) depuis une hauteur de \\\\(5,0\\\\ \\\\mathrm{m}\\\\). Quelle est son énergie mécanique totale au départ ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Énergie potentielle : \\\\(E_p = 2,0 \\\\times 9,8 \\\\times 5,0 = 98,0\\\\ \\\\mathrm{J}\\\\). Énergie cinétique : \\\\(E_c = 0,5 \\\\times 2,0 \\\\times 9 = 9,0\\\\ \\\\mathrm{J}\\\\). Total : \\\\(98,0 + 9,0 = 107,0\\\\ \\\\mathrm{J}\\\\).",
"answers": [
{
"answer_title": "113,8 J",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "29,4 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "9,0 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "107,0 J",
"is_correct": true,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Un objet de \\\\(0,3\\\\ \\\\mathrm{kg}\\\\) tombe de \\\\(h = 10,0\\\\ \\\\mathrm{m}\\\\). Quelle est sa vitesse juste avant d’atteindre le sol ? (\\\\(g = 9,8\\\\ \\\\mathrm{m/s^2}\\\\))",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "On utilise \\\\(mgh = \\\\frac{1}{2}mv^2\\\\). \\\\(0,3 \\\\times 9,8 \\\\times 10,0 = 0,15v^2\\\\), \\\\(29,4 = 0,15v^2\\\\), \\\\(v^2 = 196\\\\), \\\\(v = 14,0\\\\ \\\\mathrm{m/s}\\\\).",
"answers": [
{
"answer_title": "14,0 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "9,8 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "10,0 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "17,0 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Quelle(s) formule(s) exprime(nt) la conservation de l'énergie mécanique ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La conservation de l'énergie mécanique s'exprime par \\\\(E_{c, i} + E_{p, i} = E_{c, f} + E_{p, f}\\\\).",
"answers": [
{
"answer_title": "\\\\(E_{c, i} + E_{p, i} = E_{c, f} + E_{p, f}\\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\(E_m = E_c + E_p\\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\(E_{pe} = \\\\frac{1}{2}kx^2\\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\(E_c = \\\\frac{1}{2}mv^2\\\\)",
"is_correct": false,
"answer_order": 4
}
]
}
]
}