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
Exercices

RAPPEL

Que dit le coefficient de frottement 

MOTIVATION

donner la formule pour calculer la puissance et l'énergie.

ANNONCE DU SUJET

Aujourd’hui nous allons étudier

RAPPEL

Le coefficient de frottement dit : c’est l’angle de la tangente formé entre l’effort de traction et le poids de l’objet.        f= F/P

MOTIVATION

L’énergie : W=F×e×f         en translation

                 W=F×2πr×r       en rotation

Puissance : P=Wt=F×e×ft    

ANNONCE DU SUJET

Exercices

Comment calcule t-on l'énergie?

Exercice

La charge supportée par le coussinet inférieur d’un palier graisseur à bague est de 2500N. le diamètre de l’arbre est de 50mm et la vitesse de rotation est de 300tr/min. 

  1. Le travail absorbé par le frottement pendant 1h avec f=0,10 est (Nm) :

1.  3,925                    2.  39250               3. 39,25                            4.  625                   5. 392,5

Résolution

Donner la formule pour calculer la puissance et l'énergie.

L’énergie : W=F×e×f         en translation

                 W=F×2πr×r       en rotation

Puissance : P=Wt=F×e×f   

8.1.28PHP Version113msRequest Duration5MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (30.75ms)
    • Application (81.77ms)
    • 1 x Application (72.62%)
      81.77ms
      1 x Booting (27.31%)
      30.75ms
      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 executed44.69ms
      • select * from `oldt_posts` where (`id` = '6093' and `slug` = 'exercices') and exists (select * from `oldt_material_sheets` where `oldt_posts`.`material_sheet_id` = `oldt_material_sheets`.`id`) limit 1
        2.4ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 6093
        • 1. exercices
        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` = '6093' and `lessons`.`deleted_at` is null limit 1
        690μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 6093
        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
        28.34ms/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` = '2025-05-10 21:08:15' where `id` = 6093 and `lessons`.`deleted_at` is null
        4.75ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-05-10 21:08:15
        • 1. 6093
        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` = 662 and `chapters`.`deleted_at` is null limit 1
        940μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 662
        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` = 318 and `course_classes`.`deleted_at` is null limit 1
        850μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 318
        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 (138) and `classes`.`deleted_at` is null
        520μsview::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 (72)
        460μsview::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 (11)
        480μsview::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 (30)
        370μsview::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 (113) and `courses`.`deleted_at` is null
        460μsview::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` = 6093 and `lesson_sections`.`lesson_id` is not null
        1.14msview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 6093
        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` = 69384 and `lesson_contents`.`deleted_at` is null limit 1
        760μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 69384
        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` = 69167 and `content_texts`.`deleted_at` is null limit 1
        760μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 69167
        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` = 69385 and `lesson_contents`.`deleted_at` is null limit 1
        1msview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 69385
        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` = 69168 and `content_texts`.`deleted_at` is null limit 1
        770μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 69168
        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
        Q3qrP60LJlCP4YpdNyuhga4JRmfbT5ASVCOyjm0i
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/6093/exercices" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/6093/exercices
        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" => "3748" "REMOTE_ADDR" => "3.148.179.161" "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/6093/exercices" "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" => 1746911295.2602 "REQUEST_TIME" => 1746911295 ]
        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 => "Sat, 10 May 2025 21:08:15 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6IkZPellpZE9vamwvSU1hek1FQ2E5MEE9PSIsInZhbHVlIjoid3J1UkYxQ0dzZ0FwZjdlZTRKcm1MTHFoZm1FTVJUbWN6S3AyTUZSOUdnUXFGdXBXN3dtaEtvbjNBb3FwSUVJVCIsIm1hYyI6ImEwOTQ1ZTA4NDc5ZTg4ZjM1ZTI1NTcxNWYwMzdhNzQ4NjEzMzA4ODMzZDliOTBlOTQyNTljZDkyZjM4ZWQ3NTAiLCJ0YWciOiIifQ%3D%3D; expires=Sat, 17 May 2025 19:48:15 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6IkZPellpZE9vamwvSU1hek1FQ2E5MEE9PSIsInZhbHVlIjoid3J1UkYxQ0dzZ0FwZjdlZTRKcm1MTHFoZm1FTVJUbWN6S3AyTUZSOUdnUXFGdXBXN3dtaEtvbjNBb3FwSUVJVCIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IlI2RjZsZFBrNVlQVkI4eVN1ajY0Q0E9PSIsInZhbHVlIjoiSmlrYVNwL3M5bHBSZy9pVmZzUERqbEZVQ1Bpc1l1OGJhcDdXVFVXdUxOa2JsWTdmQWR2Y2tYYXFOcnZ5Q1kvZDRoSVNhTTJPQzZhY0RZazdpT0dZV1I3YWN0U1p3K2RBcHlJUGFMdFB3OW1SbUlWUk84dUlOOGxGQVhrYitCclYiLCJtYWMiOiIyMTI4ZDg3YWViMTExMzhlOTlmMzViNTM2MmU4MDA1MjM0YWVmOTFlYTEyNzE2YzQzNzc0NGE1NmFlZjg0MDA5IiwidGFnIjoiIn0%3D; expires=Sat, 10 May 2025 23:08:15 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IlI2RjZsZFBrNVlQVkI4eVN1ajY0Q0E9PSIsInZhbHVlIjoiSmlrYVNwL3M5bHBSZy9pVmZzUERqbEZVQ1Bpc1l1OGJhcDdXVFVXdUxOa2JsWTdmQWR2Y2tYYXFOcnZ5Q1kvZDRoSVNhT" 2 => "schoolap_session=eyJpdiI6IlE0RzJILzVFamVLem5QMjM1dFlzYmc9PSIsInZhbHVlIjoiRVFCbXpVdU5kd2JkK1YvTXcyRHBUTG8zWk5BSjhCVUpzUTZuSm5Yd1pXVmlwMG5qNUt6WmNpQmpTK3JjZGROdkgrdjg0c2d6S3dGRThUUHhhSW5BNDl1dEJIU0VJd09hWTRPSnVNdkNNZnBFUzZoU2txbjE4V2EwdzVWS3ZHb3MiLCJtYWMiOiI3YzM1MjA5NDVhMDUyMzIwN2M1ODViNTcwZjY1N2ZkOWNmMjg2ZWY2NDVkYzY4ZGZkYWJkNDk5ZTdiYTFhM2ZiIiwidGFnIjoiIn0%3D; expires=Sat, 10 May 2025 23:08:15 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6IlE0RzJILzVFamVLem5QMjM1dFlzYmc9PSIsInZhbHVlIjoiRVFCbXpVdU5kd2JkK1YvTXcyRHBUTG8zWk5BSjhCVUpzUTZuSm5Yd1pXVmlwMG5qNUt6WmNpQmpTK3JjZGROdkg" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6IkZPellpZE9vamwvSU1hek1FQ2E5MEE9PSIsInZhbHVlIjoid3J1UkYxQ0dzZ0FwZjdlZTRKcm1MTHFoZm1FTVJUbWN6S3AyTUZSOUdnUXFGdXBXN3dtaEtvbjNBb3FwSUVJVCIsIm1hYyI6ImEwOTQ1ZTA4NDc5ZTg4ZjM1ZTI1NTcxNWYwMzdhNzQ4NjEzMzA4ODMzZDliOTBlOTQyNTljZDkyZjM4ZWQ3NTAiLCJ0YWciOiIifQ%3D%3D; expires=Sat, 17-May-2025 19:48:15 GMT; path=/; httponlylang_schoolap=eyJpdiI6IkZPellpZE9vamwvSU1hek1FQ2E5MEE9PSIsInZhbHVlIjoid3J1UkYxQ0dzZ0FwZjdlZTRKcm1MTHFoZm1FTVJUbWN6S3AyTUZSOUdnUXFGdXBXN3dtaEtvbjNBb3FwSUVJVCIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IlI2RjZsZFBrNVlQVkI4eVN1ajY0Q0E9PSIsInZhbHVlIjoiSmlrYVNwL3M5bHBSZy9pVmZzUERqbEZVQ1Bpc1l1OGJhcDdXVFVXdUxOa2JsWTdmQWR2Y2tYYXFOcnZ5Q1kvZDRoSVNhTTJPQzZhY0RZazdpT0dZV1I3YWN0U1p3K2RBcHlJUGFMdFB3OW1SbUlWUk84dUlOOGxGQVhrYitCclYiLCJtYWMiOiIyMTI4ZDg3YWViMTExMzhlOTlmMzViNTM2MmU4MDA1MjM0YWVmOTFlYTEyNzE2YzQzNzc0NGE1NmFlZjg0MDA5IiwidGFnIjoiIn0%3D; expires=Sat, 10-May-2025 23:08:15 GMT; path=/XSRF-TOKEN=eyJpdiI6IlI2RjZsZFBrNVlQVkI4eVN1ajY0Q0E9PSIsInZhbHVlIjoiSmlrYVNwL3M5bHBSZy9pVmZzUERqbEZVQ1Bpc1l1OGJhcDdXVFVXdUxOa2JsWTdmQWR2Y2tYYXFOcnZ5Q1kvZDRoSVNhT" 2 => "schoolap_session=eyJpdiI6IlE0RzJILzVFamVLem5QMjM1dFlzYmc9PSIsInZhbHVlIjoiRVFCbXpVdU5kd2JkK1YvTXcyRHBUTG8zWk5BSjhCVUpzUTZuSm5Yd1pXVmlwMG5qNUt6WmNpQmpTK3JjZGROdkgrdjg0c2d6S3dGRThUUHhhSW5BNDl1dEJIU0VJd09hWTRPSnVNdkNNZnBFUzZoU2txbjE4V2EwdzVWS3ZHb3MiLCJtYWMiOiI3YzM1MjA5NDVhMDUyMzIwN2M1ODViNTcwZjY1N2ZkOWNmMjg2ZWY2NDVkYzY4ZGZkYWJkNDk5ZTdiYTFhM2ZiIiwidGFnIjoiIn0%3D; expires=Sat, 10-May-2025 23:08:15 GMT; path=/; httponlyschoolap_session=eyJpdiI6IlE0RzJILzVFamVLem5QMjM1dFlzYmc9PSIsInZhbHVlIjoiRVFCbXpVdU5kd2JkK1YvTXcyRHBUTG8zWk5BSjhCVUpzUTZuSm5Yd1pXVmlwMG5qNUt6WmNpQmpTK3JjZGROdkg" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "Q3qrP60LJlCP4YpdNyuhga4JRmfbT5ASVCOyjm0i" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/6093/exercices" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]