Limites Mecanique Newton — Quiz — Limites De La Mecanique De Newton

{
  "quiz_title": "Limites De La Mecanique De Newton",
  "quiz_slug": "04_limites_de_la_mecanique_de_newton_quiz",
  "quiz_description": "Quiz Edu509 : Limites De La Mecanique De Newton",
  "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": "Dans quel cas la mécanique de Newton n’est-elle plus valable ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La mécanique de Newton échoue à l’échelle atomique, comme pour un électron autour du noyau. Les autres situations relèvent de la mécanique classique.",
      "answers": [
        {
          "answer_title": "Pour un électron tournant autour du noyau d’un atome",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Pour une pomme qui tombe d’un arbre",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Pour une voiture roulant à 50 km/h",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Pour un ballon lancé à la main",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 2,
      "question_title": "Quelle est la force résultante appliquée à une voiture de masse \\\\( 1\\\\ 000\\\\ \\\\mathrm{kg} \\\\) accélérant à \\\\( 2{,}0\\\\ \\\\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 force résultante est \\\\( F = m a = 1\\\\ 000 \\\\times 2{,}0 = 2\\\\ 000\\\\ \\\\mathrm{N} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 2\\\\ 000\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 500\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 20\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 200\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 3,
      "question_title": "Selon la mécanique de Newton, quelle est la vitesse totale d’une sonde lancée à \\\\( 0{,}4c \\\\) depuis un vaisseau allant à \\\\( 0{,}8c \\\\) ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Addition classique : \\\\( v_{\\\\text{total}} = 0{,}8c + 0{,}4c = 1,2c = 3{,}6 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 3{,}6 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 2{,}4 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 1{,}2 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 3,0 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 4,
      "question_title": "Pourquoi la formule \\\\( F = m a \\\\) ne s’applique-t-elle pas à la lumière ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La lumière (photon) a une masse au repos nulle, donc \\\\( F = m a = 0 \\\\) n’a pas de sens pour elle.",
      "answers": [
        {
          "answer_title": "Parce que la lumière a une masse au repos nulle",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Parce que la lumière va trop lentement",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Parce que la lumière est un solide",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Parce que la lumière ne subit pas de force",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 5,
      "question_title": "Quelle est la force centripète exercée sur un électron (\\\\( m = 9{,}1 \\\\times 10^{-31}\\\\ \\\\mathrm{kg} \\\\)) tournant à \\\\( v = 2{,}2 \\\\times 10^6\\\\ \\\\mathrm{m/s} \\\\) à \\\\( r = 5{,}3 \\\\times 10^{-11}\\\\ \\\\mathrm{m} \\\\) ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "En appliquant \\\\( F = m \\\\frac{v^2}{r} \\\\), on obtient \\\\( 8{,}32 \\\\times 10^{-8}\\\\ \\\\mathrm{N} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 8{,}32 \\\\times 10^{-8}\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 1{,}0 \\\\times 10^{-10}\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 2{,}2 \\\\times 10^{-6}\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 5{,}3 \\\\times 10^{-11}\\\\ \\\\mathrm{N} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 6,
      "question_title": "Dans quelle situation la formule classique de la quantité de mouvement \\\\( p = m v \\\\) n’est-elle plus valable ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "À \\\\( 2{,}5 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\), la vitesse est proche de \\\\( c \\\\), donc il faut la formule relativiste.",
      "answers": [
        {
          "answer_title": "Pour un proton à \\\\( 2{,}5 \\\\times 10^8\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Pour une balle à \\\\( 10\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Pour une voiture à \\\\( 30\\\\ \\\\mathrm{m/s} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Pour un train à \\\\( 100\\\\ \\\\mathrm{km/h} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 7,
      "question_title": "Quelle est la somme vectorielle des forces pour un objet en mouvement rectiligne uniforme selon Newton ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Principe d’inertie : si \\\\( \\\\sum \\\\vec{F} = \\\\vec{0} \\\\), la vitesse est constante.",
      "answers": [
        {
          "answer_title": "\\\\( \\\\sum \\\\vec{F} = \\\\vec{0} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( \\\\sum \\\\vec{F} = m \\\\vec{a} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( \\\\sum \\\\vec{F} = \\\\vec{v} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( \\\\sum \\\\vec{F} = m \\\\vec{v} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 8,
      "question_title": "Quelle formule exprime la troisième loi de Newton ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La troisième loi de Newton s’écrit \\\\( \\\\vec{F}_{A/B} = -\\\\vec{F}_{B/A} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( \\\\vec{F}_{A/B} = -\\\\vec{F}_{B/A} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( \\\\sum \\\\vec{F} = m \\\\vec{a} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( v = \\\\lambda f \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( F = m g \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 9,
      "question_title": "Pour quelle grandeur la mécanique de Newton suppose-t-elle qu’elle reste constante à toute vitesse ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "En mécanique classique, la masse est supposée constante, ce qui n’est plus vrai en relativité.",
      "answers": [
        {
          "answer_title": "La masse",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "La charge électrique",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "La température",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "La longueur",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 10,
      "question_title": "Quelle est la limite de la formule d’addition des vitesses \\\\( v_{\\\\text{total}} = v_1 + v_2 \\\\) ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "L’addition classique échoue pour des vitesses proches de la lumière.",
      "answers": [
        {
          "answer_title": "Elle n’est plus valable pour \\\\( v_1 \\\\) ou \\\\( v_2 \\\\) proches de \\\\( c \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Elle ne fonctionne que pour les objets immobiles",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Elle ne s’applique qu’aux solides",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Elle ne s’utilise que pour les vitesses négatives",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 11,
      "question_title": "Quel phénomène n’est pas expliqué par la mécanique de Newton ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La mécanique de Newton ne décrit pas les photons, qui nécessitent la relativité et la mécanique quantique.",
      "answers": [
        {
          "answer_title": "Le comportement des photons",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "La chute d’une pomme",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Le mouvement d’une voiture",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Le balancement d’un pendule",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 12,
      "question_title": "Quelle théorie doit-on utiliser pour décrire le mouvement d’un objet à \\\\( 0{,}99c \\\\) ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "À des vitesses proches de \\\\( c \\\\), seule la relativité donne des résultats corrects.",
      "answers": [
        {
          "answer_title": "La relativité",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "La mécanique de Newton",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "La thermodynamique",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "L’optique géométrique",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 13,
      "question_title": "Quelle est la formule correcte pour la quantité de mouvement relativiste ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La quantité de mouvement relativiste est \\\\( p = \\\\frac{m v}{\\\\sqrt{1 - \\\\left( \\\\frac{v}{c} \\\\right)^2}} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( p = \\\\frac{m v}{\\\\sqrt{1 - \\\\left( \\\\frac{v}{c} \\\\right)^2}} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( p = m v \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( p = m a \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( p = m g \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 14,
      "question_title": "Pour un objet soumis à une force nulle, que dit la première loi de Newton ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Principe d’inertie : sans force, la vitesse ne change pas.",
      "answers": [
        {
          "answer_title": "La vitesse reste constante",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "L’objet s’arrête",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "L’accélération augmente",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "La masse varie",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 15,
      "question_title": "Dans quel cas la mécanique quantique est-elle nécessaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "À l’échelle atomique, seule la mécanique quantique est valable.",
      "answers": [
        {
          "answer_title": "Pour décrire un atome d’hydrogène",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Pour calculer la trajectoire d’une balle",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Pour prévoir la chute d’un objet",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Pour mesurer la vitesse d’une voiture",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 16,
      "question_title": "Quelle affirmation est correcte concernant la mécanique de Newton ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La mécanique de Newton est valable pour les objets macroscopiques à faible vitesse.",
      "answers": [
        {
          "answer_title": "Elle s’applique aux objets macroscopiques à faible vitesse",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Elle décrit parfaitement les électrons",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Elle explique la vitesse de la lumière",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Elle s’applique à tout l’Univers sans exception",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 17,
      "question_title": "Si la somme des forces sur un objet est nulle, que peut-on affirmer ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Principe d’inertie : force nulle implique vitesse constante (repos ou mouvement rectiligne uniforme).",
      "answers": [
        {
          "answer_title": "L’objet est soit au repos, soit en mouvement rectiligne uniforme",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "L’objet accélère",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "La masse de l’objet change",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "L’objet tourne en rond",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 18,
      "question_title": "Quelle grandeur n’est pas conservée selon la mécanique de Newton à très grande vitesse ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La charge électrique est conservée même à grande vitesse, contrairement à la masse qui varie en relativité.",
      "answers": [
        {
          "answer_title": "La masse",
          "is_correct": false,
          "answer_order": 1
        },
        {
          "answer_title": "L’énergie mécanique",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "La charge électrique",
          "is_correct": true,
          "answer_order": 3
        },
        {
          "answer_title": "La température",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 19,
      "question_title": "Quel est le principal indice qu’il faut utiliser la relativité plutôt que la mécanique de Newton ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Si la vitesse approche \\\\( c \\\\), la relativité s’impose.",
      "answers": [
        {
          "answer_title": "La vitesse de l’objet approche celle de la lumière",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "L’objet est très lourd",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "L’objet est coloré",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "L’objet est en chute libre",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 20,
      "question_title": "Quelle erreur commet-on en utilisant \\\\( v_{\\\\text{total}} = v_1 + v_2 \\\\) pour deux objets à \\\\( 0{,}7c \\\\) et \\\\( 0{,}6c \\\\) ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "L’addition classique donnerait \\\\( 1,3c \\\\), impossible selon la relativité.",
      "answers": [
        {
          "answer_title": "On obtient une vitesse supérieure à \\\\( c \\\\), ce qui est impossible",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "On obtient une vitesse négative",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "On obtient une masse nulle",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "On obtient une accélération infinie",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    }
  ]
}