Ecrit par ✅ Quiz : Pendule Simple
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.
JSON Tutor LMS-ready
{
"quiz_title": "Pendule Simple",
"quiz_slug": "09_pendule_simple_quiz",
"quiz_description": "Quiz Edu509 : Pendule Simple",
"quiz_settings": {
"time_limit": {
"time_value": 0,
"time_type": "minutes"
},
"hide_quiz_time_display": false,
"attempts_allowed": 0,
"passing_grade": 70,
"max_questions_for_answer": 0,
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},
"questions": [
{
"question_order": 1,
"question_title": "Quelle est la formule correcte pour la période d’un pendule simple pour de petits angles ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La période d’un pendule simple pour de petits angles est donnée par \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{l}{g}} \\\\).",
"answers": [
{
"answer_title": "\\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{l}{g}} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{g}{l}} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( T = \\\\pi \\\\sqrt{\\\\frac{l}{g}} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( T = 2\\\\pi l g \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Un pendule simple a une longueur de \\\\( 1{,}0 \\\\mathrm{m} \\\\). Quelle est sa période d’oscillation ? (\\\\( 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": "La période est \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{1{,}0}{9{,}8}} = 2,00 \\\\) s.",
"answers": [
{
"answer_title": "2,00 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,00 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "3,14 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,50 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "La période d’un pendule simple dépend-elle de la masse de la boble ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La période d’un pendule simple ne dépend pas de la masse de la boble, seulement de la longueur et de la gravité.",
"answers": [
{
"answer_title": "Non",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Oui",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Seulement pour de grands angles",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Seulement si la masse est très grande",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Quelle est l’énergie mécanique totale d’un pendule simple de masse \\\\( 0{,}200 \\\\mathrm{kg} \\\\), longueur \\\\( 1{,}5 \\\\mathrm{m} \\\\), écarté d’un angle de \\\\( 15^\\\\circ \\\\) ? (\\\\( g = 9{,}8 \\\\mathrm{m/s^2} \\\\), \\\\( \\\\theta_0 = 0{,}262 \\\\) rad)",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’énergie mécanique est \\\\( E_m = mgh_0 \\\\) avec \\\\( h_0 = l(1 - \\\\cos\\\\theta_0) = 1{,}5 \\\\times (1 - \\\\cos 0{,}262) = 1{,}5 \\\\times 0{,}034 = 0{,}051 \\\\) m. Donc \\\\( E_m = 0{,}200 \\\\times 9{,}8 \\\\times 0{,}051 = 0,102 \\\\) J.",
"answers": [
{
"answer_title": "0,102 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,200 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,050 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,50 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Pour un pendule de longueur \\\\( 0{,}50 \\\\mathrm{m} \\\\), quelle est la période d’oscillation ? (\\\\( 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": "La période est \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{0{,}50}{9{,}8}} = 1,42 \\\\) s.",
"answers": [
{
"answer_title": "1,42 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2,00 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,50 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,00 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Quelle grandeur n’influence PAS la période d’un pendule simple ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La période ne dépend pas de la masse de la boble.",
"answers": [
{
"answer_title": "La masse de la boble",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La longueur du fil",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "L’accélération de la pesanteur",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "L’unité de temps",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Un pendule de \\\\( 0{,}80 \\\\mathrm{m} \\\\) de long, écarté de \\\\( 20^\\\\circ \\\\) (\\\\( 0{,}349 \\\\) rad), atteint quelle vitesse maximale au point le plus bas ? (\\\\( 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": "La vitesse maximale est \\\\( v_{\\\\text{max}} = \\\\sqrt{2 \\\\times 9{,}8 \\\\times 0{,}80 \\\\times (1 - \\\\cos 0{,}349)} = 0,97 \\\\) m/s.",
"answers": [
{
"answer_title": "0,97 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,50 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,50 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2,00 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Quelle est la formule correcte pour la vitesse maximale au point le plus bas d’un pendule simple ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La formule correcte est \\\\( v_{\\\\text{max}} = \\\\sqrt{2g l (1 - \\\\cos\\\\theta_0)} \\\\).",
"answers": [
{
"answer_title": "\\\\( v_{\\\\text{max}} = \\\\sqrt{2g l (1 - \\\\cos\\\\theta_0)} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( v_{\\\\text{max}} = \\\\sqrt{2gl} \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( v_{\\\\text{max}} = \\\\sqrt{g/l} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( v_{\\\\text{max}} = 2\\\\pi \\\\sqrt{l/g} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Pour un pendule de \\\\( 2,0 \\\\mathrm{m} \\\\), quelle est la période d’oscillation ? (\\\\( 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": "La période est \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{2,0}{9,8}} = 2,84 \\\\) s.",
"answers": [
{
"answer_title": "2,84 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,42 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4,00 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,00 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Si l’accélération de la pesanteur augmente, que se passe-t-il avec la période du pendule ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La période est inversement proportionnelle à \\\\( \\\\sqrt{g} \\\\), donc si \\\\( g \\\\) augmente, la période diminue.",
"answers": [
{
"answer_title": "Elle diminue",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Elle augmente",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Elle reste constante",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Elle devient nulle",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Pour un angle initial de \\\\( 30^\\\\circ \\\\) (\\\\( 0,524 \\\\) rad), une masse de \\\\( 0,150 \\\\mathrm{kg} \\\\), un fil de \\\\( 1,20 \\\\mathrm{m} \\\\), quelle est l’énergie mécanique du pendule ? (\\\\( 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 est \\\\( E_m = mgh_0 = 0,150 \\\\times 9,8 \\\\times 0,1608 = 0,236 \\\\) J.",
"answers": [
{
"answer_title": "0,236 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,150 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,524 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,20 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "À mi-hauteur, la vitesse de la boble du pendule précédent est :",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse à mi-hauteur est \\\\( v_1 = \\\\sqrt{\\\\frac{2 \\\\times 0,118}{0,150}} = 1,25 \\\\) m/s.",
"answers": [
{
"answer_title": "1,25 m/s",
"is_correct": true,
"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": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Pour un pendule de \\\\( 1,5 \\\\mathrm{m} \\\\), quelle est la période d’oscillation ? (\\\\( 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": "La période est \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{1,5}{9,8}} = 2,46 \\\\) s.",
"answers": [
{
"answer_title": "2,46 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,50 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "3,00 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,00 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Si la longueur du fil double, que devient la période du pendule ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La période dépend de la racine carrée de la longueur : si \\\\( l \\\\) double, \\\\( T \\\\) est multipliée par \\\\( \\\\sqrt{2} \\\\).",
"answers": [
{
"answer_title": "Elle est multipliée par \\\\( \\\\sqrt{2} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Elle double",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Elle reste inchangée",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Elle est divisée par 2",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Pour un angle initial de \\\\( 5^\\\\circ \\\\), la formule de la période du pendule simple est-elle valable ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La formule est valable pour les petits angles (\\\\( \\\\theta_0 \\\\leq 10^\\\\circ \\\\)).",
"answers": [
{
"answer_title": "Oui",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Non",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Seulement si la masse est faible",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Seulement si la longueur est grande",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Quelle est l’énergie potentielle maximale d’un pendule de \\\\( 0,300 \\\\mathrm{kg} \\\\), longueur \\\\( 1,0 \\\\mathrm{m} \\\\), écarté de \\\\( 25^\\\\circ \\\\) (\\\\( 0,436 \\\\) rad) ? (\\\\( 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": "Hauteur : \\\\( h_0 = 1,0 \\\\times (1 - \\\\cos 0,436) = 1,0 \\\\times 0,095 = 0,095 \\\\) m. \\\\( E_p = 0,300 \\\\times 9,8 \\\\times 0,095 = 0,279 \\\\) J.",
"answers": [
{
"answer_title": "0,279 J",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,300 J",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "0,098 J",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,00 J",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Pour un pendule de \\\\( 0,75 \\\\mathrm{m} \\\\), quelle est la période d’oscillation ? (\\\\( 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": "La période est \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{0,75}{9,8}} = 1,74 \\\\) s.",
"answers": [
{
"answer_title": "1,74 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,00 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2,00 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,00 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Si l’angle initial est augmenté à \\\\( 45^\\\\circ \\\\), la formule \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{l}{g}} \\\\) reste-t-elle valable ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La formule n’est valable que pour les petits angles (\\\\( \\\\theta_0 \\\\leq 10^\\\\circ \\\\)).",
"answers": [
{
"answer_title": "Non",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Oui",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Seulement si la masse est grande",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Seulement si la longueur est petite",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Pour un pendule de \\\\( 1,2 \\\\mathrm{m} \\\\), quelle est la période d’oscillation ? (\\\\( 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": "La période est \\\\( T = 2\\\\pi \\\\sqrt{\\\\frac{1,2}{9,8}} = 2,20 \\\\) s.",
"answers": [
{
"answer_title": "2,20 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "1,00 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "3,00 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "1,50 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Laquelle des affirmations suivantes est correcte pour un pendule simple ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "En l’absence de frottements, l’énergie mécanique du pendule se conserve.",
"answers": [
{
"answer_title": "L’énergie mécanique se conserve en l’absence de frottements",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La période dépend de la masse",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "La vitesse maximale est atteinte à l’amplitude maximale",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "L’énergie cinétique est maximale à la position la plus haute",
"is_correct": false,
"answer_order": 4
}
]
}
]
}