Ecrit par ✅ Quiz : Mouvement Circulaire
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": "Mouvement Circulaire",
"quiz_slug": "03_mouvement_circulaire_quiz",
"quiz_description": "Quiz Edu509 : Mouvement Circulaire",
"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,
"questions_order": "rand",
"hide_question_number_overview": false,
"short_answer_characters_limit": 200
},
"questions": [
{
"question_order": 1,
"question_title": "Quelle est la formule correcte pour calculer la vitesse linéaire d’un objet en mouvement circulaire uniforme de rayon \\\\( R \\\\) et de période \\\\( T \\\\) ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse linéaire dans un mouvement circulaire uniforme est donnée par \\\\( v = \\\\frac{2\\\\pi R}{T} \\\\), où \\\\( R \\\\) est le rayon et \\\\( T \\\\) la période.",
"answers": [
{
"answer_title": "\\\\( v = \\\\frac{2\\\\pi R}{T} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( v = 2\\\\pi R T \\\\)",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "\\\\( v = \\\\frac{T}{2\\\\pi R} \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( v = \\\\frac{R}{2\\\\pi T} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 2,
"question_title": "Un objet fait 10 tours en 20 secondes. Quelle est sa fréquence ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La fréquence est \\\\( f = \\\\frac{N}{t} = \\\\frac{10}{20} = 0,5 \\\\) Hz.",
"answers": [
{
"answer_title": "0,5 Hz",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2 Hz",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "5 Hz",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,05 Hz",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 3,
"question_title": "Laquelle des affirmations suivantes est vraie concernant la force centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force centripète est toujours dirigée vers le centre du cercle, quelle que soit la valeur de la vitesse.",
"answers": [
{
"answer_title": "Elle est toujours dirigée vers le centre du cercle.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Elle est toujours tangentielle à la trajectoire.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Elle est toujours dirigée vers l’extérieur du cercle.",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "Elle n’existe que si la vitesse varie en valeur.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 4,
"question_title": "Un disque de rayon 0,4 m tourne à une vitesse angulaire de 3 rad/s. Quelle est sa vitesse linéaire ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse linéaire est \\\\( v = \\\\omega R = 3 \\\\times 0,4 = 1,2 \\\\) m/s.",
"answers": [
{
"answer_title": "1,2 m/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,75 m/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "7,5 m/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,133 m/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 5,
"question_title": "Quelle(s) grandeur(s) peut(vent) rester constante(s) dans un mouvement circulaire uniforme ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Dans un mouvement circulaire uniforme, la vitesse linéaire et la valeur de l’accélération centripète restent constantes, mais leur direction change continuellement.",
"answers": [
{
"answer_title": "La vitesse linéaire",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "La direction de la vitesse",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "La valeur de l’accélération centripète",
"is_correct": true,
"answer_order": 3
},
{
"answer_title": "La direction de la force centripète",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 6,
"question_title": "Un objet de masse 2 kg décrit un cercle de rayon 0,5 m à une vitesse de 4 m/s. Quelle est la force centripète exercée sur l’objet ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force centripète est \\\\( F_c = m \\\\frac{v^2}{R} = 2 \\\\times \\\\frac{16}{0,5} = 2 \\\\times 32 = 32 \\\\) N.",
"answers": [
{
"answer_title": "64 N",
"is_correct": false,
"answer_order": 1
},
{
"answer_title": "32 N",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "16 N",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "8 N",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 7,
"question_title": "Quelle est la période d’un objet qui effectue 5 tours en 10 secondes ?",
"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 = \\\\frac{t}{N} = \\\\frac{10}{5} = 2 \\\\) s.",
"answers": [
{
"answer_title": "2 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,5 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "10 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "5 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 8,
"question_title": "Un objet tourne avec une période de 4 s. Quelle est sa vitesse angulaire ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse angulaire est \\\\( \\\\omega = \\\\frac{2\\\\pi}{T} = \\\\frac{2 \\\\times 3,14}{4} = 1,57 \\\\) rad/s.",
"answers": [
{
"answer_title": "1,57 rad/s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,25 rad/s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "6,28 rad/s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,5 rad/s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 9,
"question_title": "Un satellite de 1000 kg tourne sur une orbite de rayon \\\\( 8,0 \\\\times 10^6 \\\\) m à une vitesse de \\\\( 7,0 \\\\times 10^3 \\\\) m/s. Quelle est la force centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force centripète est \\\\( F_c = m \\\\frac{v^2}{R} = 1000 \\\\times \\\\frac{(7,0 \\\\times 10^3)^2}{8,0 \\\\times 10^6} = 1000 \\\\times \\\\frac{49 \\\\times 10^6}{8,0 \\\\times 10^6} = 1000 \\\\times 6,125 = 6,13 \\\\times 10^6 \\\\) N.",
"answers": [
{
"answer_title": "6,13 \\\\( \\\\times 10^6 \\\\) N",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "8,75 \\\\( \\\\times 10^6 \\\\) N",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "5,25 \\\\( \\\\times 10^6 \\\\) N",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "7,00 \\\\( \\\\times 10^6 \\\\) N",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 10,
"question_title": "Quelle(s) formule(s) donne(nt) l’accélération centripète ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "Les deux formules correctes sont \\\\( a_c = \\\\frac{v^2}{R} \\\\) et \\\\( a_c = \\\\omega^2 R \\\\).",
"answers": [
{
"answer_title": "\\\\( a_c = \\\\frac{v^2}{R} \\\\)",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "\\\\( a_c = \\\\omega^2 R \\\\)",
"is_correct": true,
"answer_order": 2
},
{
"answer_title": "\\\\( a_c = v \\\\omega \\\\)",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "\\\\( a_c = \\\\frac{R^2}{v} \\\\)",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 11,
"question_title": "Un objet de 0,5 kg tourne à 2,0 m/s sur un cercle de rayon 0,25 m. Quelle est son accélération centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’accélération centripète est \\\\( a_c = \\\\frac{v^2}{R} = \\\\frac{(2,0)^2}{0,25} = \\\\frac{4}{0,25} = 16 \\\\) m/s^2.",
"answers": [
{
"answer_title": "16 m/s^2",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "8 m/s^2",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "4 m/s^2",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2 m/s^2",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 12,
"question_title": "Laquelle des propositions suivantes est correcte concernant la vitesse instantanée dans un mouvement circulaire ?",
"question_type": "multiple_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse instantanée est toujours tangentielle à la trajectoire et perpendiculaire à la force centripète.",
"answers": [
{
"answer_title": "Elle est toujours tangentielle à la trajectoire.",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "Elle est toujours dirigée vers le centre.",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "Elle est perpendiculaire à la force centripète.",
"is_correct": true,
"answer_order": 3
},
{
"answer_title": "Elle est toujours constante en direction.",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 13,
"question_title": "Un objet de 1,5 kg tourne à une vitesse angulaire de 5 rad/s sur un cercle de rayon 0,3 m. Quelle est la force centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force centripète est \\\\( F_c = m \\\\omega^2 R = 1,5 \\\\times 25 \\\\times 0,3 = 1,5 \\\\times 7,5 = 11,25 \\\\) N.",
"answers": [
{
"answer_title": "11,25 N",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "7,5 N",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2,25 N",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "3,75 N",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 14,
"question_title": "Un objet fait 60 tours en 120 secondes. Quelle est sa fréquence ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La fréquence est \\\\( f = \\\\frac{N}{t} = \\\\frac{60}{120} = 0,5 \\\\) Hz.",
"answers": [
{
"answer_title": "0,5 Hz",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2 Hz",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1 Hz",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,25 Hz",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 15,
"question_title": "Un objet de 0,4 kg tourne sur un cercle de rayon 0,6 m à une vitesse linéaire de 3 m/s. Quelle est la force centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force centripète est \\\\( F_c = m \\\\frac{v^2}{R} = 0,4 \\\\times \\\\frac{9}{0,6} = 0,4 \\\\times 15 = 6 \\\\) N.",
"answers": [
{
"answer_title": "6 N",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2 N",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1,2 N",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "7,2 N",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 16,
"question_title": "Quelle est la période d’un objet qui tourne à une fréquence de 0,25 Hz ?",
"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 = \\\\frac{1}{f} = \\\\frac{1}{0,25} = 4 \\\\) s.",
"answers": [
{
"answer_title": "4 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "0,25 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "2 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,5 s",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 17,
"question_title": "Un objet de 2 kg est attaché à une corde de 1,5 m et tourne à 2 tours par seconde. Quelle est la tension dans la corde ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La vitesse angulaire est \\\\( \\\\omega = 2\\\\pi f = 2\\\\pi \\\\times 2 = 12,57 \\\\) rad/s. La tension est \\\\( T = m \\\\omega^2 R = 2 \\\\times (12,57)^2 \\\\times 1,5 = 2 \\\\times 158,0 \\\\times 1,5 = 2 \\\\times 237 = 236,9 \\\\) N.",
"answers": [
{
"answer_title": "236,9 N",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "59,2 N",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "18,8 N",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "12,6 N",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 18,
"question_title": "Un objet de 0,3 kg tourne à 6 m/s sur un cercle de rayon 0,9 m. Quelle est son accélération centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "L’accélération centripète est \\\\( a_c = \\\\frac{v^2}{R} = \\\\frac{36}{0,9} = 40 \\\\) m/s^2.",
"answers": [
{
"answer_title": "40 m/s^2",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "20 m/s^2",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "18 m/s^2",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2 m/s^2",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 19,
"question_title": "Un objet de 0,5 kg tourne à une vitesse angulaire de 10 rad/s sur un cercle de rayon 0,2 m. Quelle est la force centripète ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La force centripète est \\\\( F_c = m \\\\omega^2 R = 0,5 \\\\times 100 \\\\times 0,2 = 0,5 \\\\times 20 = 10 \\\\) N.",
"answers": [
{
"answer_title": "10 N",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "5 N",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "20 N",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "2 N",
"is_correct": false,
"answer_order": 4
}
]
},
{
"question_order": 20,
"question_title": "Un objet fait 15 tours en 30 secondes. Quelle est sa fréquence et sa période ?",
"question_type": "single_choice",
"question_mark": 1,
"answer_required": true,
"randomize_question": false,
"show_question_mark": true,
"question_description": "",
"question_explanation": "La fréquence est \\\\( f = \\\\frac{15}{30} = 0,5 \\\\) Hz et la période \\\\( T = \\\\frac{1}{0,5} = 2 \\\\) s.",
"answers": [
{
"answer_title": "0,5 Hz et 2 s",
"is_correct": true,
"answer_order": 1
},
{
"answer_title": "2 Hz et 0,5 s",
"is_correct": false,
"answer_order": 2
},
{
"answer_title": "1 Hz et 1 s",
"is_correct": false,
"answer_order": 3
},
{
"answer_title": "0,25 Hz et 4 s",
"is_correct": false,
"answer_order": 4
}
]
}
]
}