Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
Principes de l’équivalence (suite)

Analyse

Comment se transforme l'énergie en chaleur ?

Qu’est-ce qu’un équivalent mécanique de la Kcal de joule ?

Quelle valeur adoptée en pratique ?

Quel est le principe de l’équivalence ?

Ecrivez le résumé de la constante de joule.

 

Equivalent mécanique de la kilocalorie de joule.

Beaucoup d’essais ont été tentés en vue de mesurer l’équivalent mécanique de la kilocalorie.

Les premières expériences furent réalisées par Joule en 1842.

Joule a eu après lui bien d'autres expérimentateurs, qui ont trouvé que le rapport entre l’énergie mécanique E et Ecal Q qui en résulte est constant. Cette constante (constante de joule) est donnée par la relation :

J=E / Q

Dans laquelle E est exprimée en joule et Q en Kcal.

La valeur moyenne admise actuellement est j=4186. Il faut donc un travail mécanique de 4186j pour développer 1kcal.

De ce qui précède, nous déduisons l’équivalent calorique du joule :

Dans la pratique, on adopte souvent la valeur approchée :

1kcal4200joules

Ou aussi : 1cal4,2joules

Il y a donc équivalence entre la quantité d’énergie mécanique absorbée par un système isolé et la quantité d’énergie calorifique cédée au système.

Enonce du principe d’équivalence

 

Si un système isolé reçoit de l’énergie mécanique, il restitue de l’énergie calorifique et vis-versa.

Le taux de transformation est donné par :

J= A / Q

J= A / Q

8.1.28PHP Version178msRequest Duration5MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (31.87ms)
    • Application (146ms)
    • 1 x Application (82.01%)
      145.72ms
      1 x Booting (17.94%)
      31.87ms
      7 templates were rendered
      • public.lessons.show (resources/views/public/lessons/show.blade.php)2bladefile
        Params
        0
        lesson
        1
        lessons
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      uri
      GET lessons/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\LessonController@show
      as
      public.lesson.show
      namespace
      prefix
      /lessons
      where
      file
      app/Http/Controllers/Public/LessonController.php:86-138
      16 statements were executed113ms
      • select * from `oldt_posts` where (`id` = '812' and `slug` = 'principes-de-lequivalence-suite') and exists (select * from `oldt_material_sheets` where `oldt_posts`.`material_sheet_id` = `oldt_material_sheets`.`id`) limit 1
        2.35ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 812
        • 1. principes-de-lequivalence-suite
        Backtrace
        • 15. /app/Http/Controllers/Public/LessonController.php:92
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `lessons` where `lessons`.`id` = '812' and `lessons`.`deleted_at` is null limit 1
        930μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 812
        Backtrace
        • 19. /app/Repositories/LessonRepository.php:41
        • 20. /app/Http/Controllers/Public/LessonController.php:95
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where `lessons`.`deleted_at` is null order by RAND() limit 4
        46.53ms/app/Http/Controllers/Public/LessonController.php:96schoolap
        Metadata
        Backtrace
        • 14. /app/Http/Controllers/Public/LessonController.php:96
        • 15. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-05-01 13:40:42' where `id` = 812 and `lessons`.`deleted_at` is null
        56.91ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-05-01 13:40:42
        • 1. 812
        Backtrace
        • 16. /app/Http/Controllers/Public/LessonController.php:98
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `chapters` where `chapters`.`id` = 92 and `chapters`.`deleted_at` is null limit 1
        780μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 92
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `course_classes` where `course_classes`.`id` = 29 and `course_classes`.`deleted_at` is null limit 1
        450μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 29
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `classes` where `classes`.`id` in (44) and `classes`.`deleted_at` is null
        430μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycle_levels` where `cycle_levels`.`id` in (65)
        380μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 30. view::public.lessons.show:10
        • 32. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 35. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycles` where `cycles`.`id` in (10)
        340μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `levels` where `levels`.`id` in (29)
        300μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `courses` where `courses`.`id` in (33) and `courses`.`deleted_at` is null
        350μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_sections` where `lesson_sections`.`lesson_id` = 812 and `lesson_sections`.`lesson_id` is not null
        730μsview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 812
        Backtrace
        • 19. view::public.lessons.show:116
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 1751 and `lesson_contents`.`deleted_at` is null limit 1
        450μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 1751
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 1620 and `content_texts`.`deleted_at` is null limit 1
        780μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 1620
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 1752 and `lesson_contents`.`deleted_at` is null limit 1
        520μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 1752
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 1621 and `content_texts`.`deleted_at` is null limit 1
        350μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 1621
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      App\Models\ContentText
      2
      App\Models\Lesson\LessonContent
      2
      App\Models\Lesson\LessonSection
      2
      App\Models\Course\Course
      1
      App\Models\Level
      1
      App\Models\Cycle
      1
      App\Models\CycleLevel
      1
      App\Models\Classe
      1
      App\Models\Course\CourseClass
      1
      App\Models\Chapter
      1
      App\Models\Lesson\Lesson
      5
        _token
        BJWiWnwMnKVKHC4Bp8vQXfI7GgaoQ0j6OtecrBtX
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/812/principes-de-lequivalence-suite" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/812/principes-de-lequivalence-suite
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "56332" "REMOTE_ADDR" => "18.224.15.154" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/lessons/812/principes-de-lequivalence-suite" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746106842.2266 "REQUEST_TIME" => 1746106842 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Thu, 01 May 2025 13:40:42 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6IlN6azJDaFEvVVZSdGRjbzgyTlkwdVE9PSIsInZhbHVlIjoiT1hLdWR0cjFPV3pUZmZwUmtJWVd5M2tPVm54T0dwMDZGbkhvWTkxaGMzNVpLOWthbHVrVngvMW84eWcxWFNUWSIsIm1hYyI6ImQyZTA3Y2FhMWUyNjAwOTMyNmIwYWQ5NDQ4NTE0OTRiNWI0ZjA0YmU3ZDM5ZDY5YzlmOTE0M2EwODg4YWQwOGIiLCJ0YWciOiIifQ%3D%3D; expires=Thu, 08 May 2025 12:20:42 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6IlN6azJDaFEvVVZSdGRjbzgyTlkwdVE9PSIsInZhbHVlIjoiT1hLdWR0cjFPV3pUZmZwUmtJWVd5M2tPVm54T0dwMDZGbkhvWTkxaGMzNVpLOWthbHVrVngvMW84eWcxWFNUWSIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IjNadWlvbHd0ay9xZWxvckhWTWVQcWc9PSIsInZhbHVlIjoiT3hndElhbHlPMk5zekpRR0FDNy84S1R2ZVFUTTU1Uzd1MTF5VUk5d1REQUU0YjRBQ0pFeVJQVmdTUjVOMms2ZG1LcVJET1RQUGpRL01pY2hKbVpabjZSTWNEQlhCa3RzMnJNT25YNEhwTEtxYkNBbUVwYThtMW1SY2FybFg3MGQiLCJtYWMiOiJmMTU1ODZiNjJhZmY1NmNjMzc0OTQ3ZDhkMTU3ZDNiMDgyMjI2NzRlZDY4ZGJjYmI3MTJmYTM5YTMyY2RhMGYyIiwidGFnIjoiIn0%3D; expires=Thu, 01 May 2025 15:40:42 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjNadWlvbHd0ay9xZWxvckhWTWVQcWc9PSIsInZhbHVlIjoiT3hndElhbHlPMk5zekpRR0FDNy84S1R2ZVFUTTU1Uzd1MTF5VUk5d1REQUU0YjRBQ0pFeVJQVmdTUjVOMms2ZG1LcVJET" 2 => "schoolap_session=eyJpdiI6IjRPRm5jUXkyVytEbHJjeWNCanNsOWc9PSIsInZhbHVlIjoieXFpTWxadHhadll3U2ordDRqcWtMT2h5TXo1Q016TWZkK3dKbGxoTnpRTVBPYXFRaFNsbnVCRlpLWndSTFQ2NGt0QmFjbDRrdCt1VFBEeUs2VFRaOEt2RDUzUVZhcFYwbjVXQnR3U3pYT3FQTzJQNGRpWWxaakd2WUFHNGl6SzAiLCJtYWMiOiJmNDI0ZTg0M2FlYWRhMDY2YzlkNDk1MDU3NWU3OTkwMjFhNjkzNWFlMjFlMzQ1ZjE0YmY5NDEwZjE2ZWExNWM0IiwidGFnIjoiIn0%3D; expires=Thu, 01 May 2025 15:40:42 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6IjRPRm5jUXkyVytEbHJjeWNCanNsOWc9PSIsInZhbHVlIjoieXFpTWxadHhadll3U2ordDRqcWtMT2h5TXo1Q016TWZkK3dKbGxoTnpRTVBPYXFRaFNsbnVCRlpLWndSTFQ2NGt" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6IlN6azJDaFEvVVZSdGRjbzgyTlkwdVE9PSIsInZhbHVlIjoiT1hLdWR0cjFPV3pUZmZwUmtJWVd5M2tPVm54T0dwMDZGbkhvWTkxaGMzNVpLOWthbHVrVngvMW84eWcxWFNUWSIsIm1hYyI6ImQyZTA3Y2FhMWUyNjAwOTMyNmIwYWQ5NDQ4NTE0OTRiNWI0ZjA0YmU3ZDM5ZDY5YzlmOTE0M2EwODg4YWQwOGIiLCJ0YWciOiIifQ%3D%3D; expires=Thu, 08-May-2025 12:20:42 GMT; path=/; httponlylang_schoolap=eyJpdiI6IlN6azJDaFEvVVZSdGRjbzgyTlkwdVE9PSIsInZhbHVlIjoiT1hLdWR0cjFPV3pUZmZwUmtJWVd5M2tPVm54T0dwMDZGbkhvWTkxaGMzNVpLOWthbHVrVngvMW84eWcxWFNUWSIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IjNadWlvbHd0ay9xZWxvckhWTWVQcWc9PSIsInZhbHVlIjoiT3hndElhbHlPMk5zekpRR0FDNy84S1R2ZVFUTTU1Uzd1MTF5VUk5d1REQUU0YjRBQ0pFeVJQVmdTUjVOMms2ZG1LcVJET1RQUGpRL01pY2hKbVpabjZSTWNEQlhCa3RzMnJNT25YNEhwTEtxYkNBbUVwYThtMW1SY2FybFg3MGQiLCJtYWMiOiJmMTU1ODZiNjJhZmY1NmNjMzc0OTQ3ZDhkMTU3ZDNiMDgyMjI2NzRlZDY4ZGJjYmI3MTJmYTM5YTMyY2RhMGYyIiwidGFnIjoiIn0%3D; expires=Thu, 01-May-2025 15:40:42 GMT; path=/XSRF-TOKEN=eyJpdiI6IjNadWlvbHd0ay9xZWxvckhWTWVQcWc9PSIsInZhbHVlIjoiT3hndElhbHlPMk5zekpRR0FDNy84S1R2ZVFUTTU1Uzd1MTF5VUk5d1REQUU0YjRBQ0pFeVJQVmdTUjVOMms2ZG1LcVJET" 2 => "schoolap_session=eyJpdiI6IjRPRm5jUXkyVytEbHJjeWNCanNsOWc9PSIsInZhbHVlIjoieXFpTWxadHhadll3U2ordDRqcWtMT2h5TXo1Q016TWZkK3dKbGxoTnpRTVBPYXFRaFNsbnVCRlpLWndSTFQ2NGt0QmFjbDRrdCt1VFBEeUs2VFRaOEt2RDUzUVZhcFYwbjVXQnR3U3pYT3FQTzJQNGRpWWxaakd2WUFHNGl6SzAiLCJtYWMiOiJmNDI0ZTg0M2FlYWRhMDY2YzlkNDk1MDU3NWU3OTkwMjFhNjkzNWFlMjFlMzQ1ZjE0YmY5NDEwZjE2ZWExNWM0IiwidGFnIjoiIn0%3D; expires=Thu, 01-May-2025 15:40:42 GMT; path=/; httponlyschoolap_session=eyJpdiI6IjRPRm5jUXkyVytEbHJjeWNCanNsOWc9PSIsInZhbHVlIjoieXFpTWxadHhadll3U2ordDRqcWtMT2h5TXo1Q016TWZkK3dKbGxoTnpRTVBPYXFRaFNsbnVCRlpLWndSTFQ2NGt" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "BJWiWnwMnKVKHC4Bp8vQXfI7GgaoQ0j6OtecrBtX" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/812/principes-de-lequivalence-suite" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]