Номер 10, страница 143 - гдз по физике 9 класс учебник Шахмаев, Бунчук

Физика, 9 класс Учебник, авторы: Шахмаев Николай Михайлович, Бунчук Алексей Васильевич, издательство Мнемозина, Москва, 2007, голубого цвета

Авторы: Шахмаев Н. М., Бунчук А. В.

Тип: Учебник

Издательство: Мнемозина

Год издания: 2007 - 2026

Цвет обложки: голубой

ISBN: 978-5-346-01799-8

Глава 8. Закон сохранения энергии. Параграф 32. Простые механизмы - номер 10, страница 143.

App\Models\Task {#1024 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
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  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
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  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 1437077
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
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    "field_page_end" => null
    "field_url" => "/9-klass/fizika/shahmaev-uchebnik/32-10"
    "field_display_title" => "10"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331
      #items: array:1 [
        0 => App\Models\Term {#1029
          #connection: "mysql"
          #table: "terms"
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          #attributes: array:6 [
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              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
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        0 => App\Models\Branch {#1023
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          #table: "branches"
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          #keyType: "int"
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            "id" => 1436826
            "created_at" => "2026-04-10 13:58:26"
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              #items: array:1 [
                0 => App\Models\Term {#1033
                  #connection: "mysql"
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                  #attributes: array:50 [
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                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_cases" => array:6 [
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                          #original: array:10 [
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                      #items: array:1 [
                        0 => App\Models\Term {#1037
                          #connection: "mysql"
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                            ]
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                          #original: array:6 [
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                        0 => App\Models\Term {#1039
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                        1 => App\Models\Term {#1042
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                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1048
                      #items: array:1 [
                        0 => App\Models\Term {#1049
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "moskva"
                          ]
                          #original: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "moskva"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1050
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1053
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054
                      #items: array:1 [
                        0 => App\Models\Term {#1055
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 33
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "стереотипное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
                          #original: array:6 [
                            "id" => 33
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "стереотипное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2007"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "362"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/shahmaev-u/"
                    "field_isbn" => "978-5-346-01799-8"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060
                      #items: array:1 [
                        0 => App\Models\Term {#1061
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 52
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "голубой"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "голубой"
                              "field_creative_case" => "голубым"
                              "field_dative_case" => "голубому"
                              "field_genitive_case" => "голубого"
                              "field_nominative_case" => "голубой"
                              "field_prepositional_case" => "голубом"
                            ]
                            "field_translit" => "goluboy"
                          ]
                          #original: array:6 [
                            "id" => 52
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "голубой"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "голубой"
                              "field_creative_case" => "голубым"
                              "field_dative_case" => "голубому"
                              "field_genitive_case" => "голубого"
                              "field_nominative_case" => "голубой"
                              "field_prepositional_case" => "голубом"
                            ]
                            "field_translit" => "goluboy"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #original: array:50 [
                    "id" => 2906
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1034}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1036}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1038}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1040}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1043}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1044}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1046}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1048}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1050}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1051}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1052}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1053}
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2007"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "362"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/shahmaev-u/"
                    "field_isbn" => "978-5-346-01799-8"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059}
                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1436826
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Закон сохранения энергии"
            "field_branch_order" => "8"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333}
            "field_page_start" => "119"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1030}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1063
      #items: array:2 [
        0 => App\Models\Branch {#1023}
        1 => App\Models\Branch {#1064
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1436831
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Простые механизмы"
            "field_branch_order" => "32"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065
              #items: array:1 [
                0 => App\Models\Term {#1066
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Параграф"
                      "field_creative_case" => "Параграфом"
                      "field_dative_case" => "Параграфу"
                      "field_genitive_case" => "Параграфа"
                      "field_nominative_case" => "Параграф"
                      "field_prepositional_case" => "Параграфе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
                  #original: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Параграф"
                      "field_creative_case" => "Параграфом"
                      "field_dative_case" => "Параграфу"
                      "field_genitive_case" => "Параграфа"
                      "field_nominative_case" => "Параграф"
                      "field_prepositional_case" => "Параграфе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "136"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1067
              #items: array:1 [
                0 => App\Models\Book {#1032}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1068
              #items: array:1 [
                0 => App\Models\Branch {#1069
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1436826
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Закон сохранения энергии"
                    "field_branch_order" => "8"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1070
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_page_start" => "119"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1072
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1102
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                  ]
                  #original: array:24 [
                    "id" => 1436826
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Закон сохранения энергии"
                    "field_branch_order" => "8"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1070}
                    "field_page_start" => "119"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1072}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1102}
                  ]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1436831
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Простые механизмы"
            "field_branch_order" => "32"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065}
            "field_page_start" => "136"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "text" => "<p><strong>Решение</strong></p><p>Наклонная плоскость является одним из простых механизмов. Ее основное предназначение – уменьшить силу, необходимую для подъема тяжелых предметов на определенную высоту.</p><p>Выигрыш в силе, который дает наклонная плоскость, можно определить с помощью "золотого правила механики". Согласно этому правилу, во сколько раз мы выигрываем в силе, во столько же раз мы проигрываем в расстоянии. Для идеальной наклонной плоскости, где сила трения отсутствует, работа, затраченная на перемещение тела, равна полезной работе по его подъему.</p><p>Обозначим:</p><ul><li>$\text{P}$ – вес тела (сила, с которой тело давит на опору, равная силе тяжести $mg$);</li><li>$\text{h}$ – высота, на которую нужно поднять тело;</li><li>$\text{l}$ – длина наклонной плоскости;</li><li>$\text{F}$ – сила, которую нужно приложить, чтобы переместить тело вдоль наклонной плоскости.</li></ul><p>Полезная работа ($A_п$), совершаемая для подъема тела вертикально на высоту $\text{h}$, равна:</p><p>$A_п = P \cdot h$</p><p>Затраченная работа ($A_з$) для перемещения тела по наклонной плоскости на расстояние $\text{l}$ равна:</p><p>$A_з = F \cdot l$</p><p>Приравнивая полезную и затраченную работу (для идеального случая без трения), получаем:</p><p>$A_п = A_з$</p><p>$P \cdot h = F \cdot l$</p><p>Выигрыш в силе определяется как отношение веса тела $\text{P}$ к приложенной силе $\text{F}$. Из полученного уравнения выразим это отношение:</p><p>$\frac{P}{F} = \frac{l}{h}$</p><p>Таким образом, идеальная наклонная плоскость дает выигрыш в силе, равный отношению ее длины к ее высоте. Это означает, что чем более пологой является плоскость (чем больше ее длина $\text{l}$ по сравнению с высотой $\text{h}$), тем больший выигрыш в силе она обеспечивает, но тем большее расстояние придется пройти.</p><p>Важно отметить, что в реальных условиях всегда присутствует сила трения, которая уменьшает реальный выигрыш в силе. Для преодоления силы трения требуется дополнительное усилие, поэтому фактическая приложенная сила будет больше, а выигрыш в силе — меньше, чем в идеальном случае.</p><p><strong>Ответ:</strong> Идеальная наклонная плоскость (без учета трения) дает выигрыш в силе, равный отношению ее длины $\text{l}$ к ее высоте $\text{h}$. Формула выигрыша в силе: $\frac{P}{F} = \frac{l}{h}$.</p>"
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            "text" => "<p><strong>Решение</strong></p><p>Наклонная плоскость является одним из простых механизмов. Ее основное предназначение – уменьшить силу, необходимую для подъема тяжелых предметов на определенную высоту.</p><p>Выигрыш в силе, который дает наклонная плоскость, можно определить с помощью "золотого правила механики". Согласно этому правилу, во сколько раз мы выигрываем в силе, во столько же раз мы проигрываем в расстоянии. Для идеальной наклонной плоскости, где сила трения отсутствует, работа, затраченная на перемещение тела, равна полезной работе по его подъему.</p><p>Обозначим:</p><ul><li>$\text{P}$ – вес тела (сила, с которой тело давит на опору, равная силе тяжести $mg$);</li><li>$\text{h}$ – высота, на которую нужно поднять тело;</li><li>$\text{l}$ – длина наклонной плоскости;</li><li>$\text{F}$ – сила, которую нужно приложить, чтобы переместить тело вдоль наклонной плоскости.</li></ul><p>Полезная работа ($A_п$), совершаемая для подъема тела вертикально на высоту $\text{h}$, равна:</p><p>$A_п = P \cdot h$</p><p>Затраченная работа ($A_з$) для перемещения тела по наклонной плоскости на расстояние $\text{l}$ равна:</p><p>$A_з = F \cdot l$</p><p>Приравнивая полезную и затраченную работу (для идеального случая без трения), получаем:</p><p>$A_п = A_з$</p><p>$P \cdot h = F \cdot l$</p><p>Выигрыш в силе определяется как отношение веса тела $\text{P}$ к приложенной силе $\text{F}$. Из полученного уравнения выразим это отношение:</p><p>$\frac{P}{F} = \frac{l}{h}$</p><p>Таким образом, идеальная наклонная плоскость дает выигрыш в силе, равный отношению ее длины к ее высоте. Это означает, что чем более пологой является плоскость (чем больше ее длина $\text{l}$ по сравнению с высотой $\text{h}$), тем больший выигрыш в силе она обеспечивает, но тем большее расстояние придется пройти.</p><p>Важно отметить, что в реальных условиях всегда присутствует сила трения, которая уменьшает реальный выигрыш в силе. Для преодоления силы трения требуется дополнительное усилие, поэтому фактическая приложенная сила будет больше, а выигрыш в силе — меньше, чем в идеальном случае.</p><p><strong>Ответ:</strong> Идеальная наклонная плоскость (без учета трения) дает выигрыш в силе, равный отношению ее длины $\text{l}$ к ее высоте $\text{h}$. Формула выигрыша в силе: $\frac{P}{F} = \frac{l}{h}$.</p>"
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                    "id" => 2906
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                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1157}
                    "field_publication_number" => "4"
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                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik"
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            "content" => Illuminate\Database\Eloquent\Collection {#1177
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                    "id" => 1702778
                    "created_at" => "2026-04-10 13:58:26"
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                    "edition" => Illuminate\Database\Eloquent\Collection {#1186
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                    "book_page" => array:2 [
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                    "img" => array:1 [
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                    ]
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                0 => App\Models\Task {#1776
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                    "created_at" => "2026-04-10 13:58:26"
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                    0 => "*"
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                }
                1 => App\Models\Task {#1856
                  #connection: "mysql"
                  #table: "tasks"
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                  #keyType: "int"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1848 …2}
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                    "content" => Illuminate\Database\Eloquent\Collection {#1824 …2}
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                    0 => "*"
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                }
                2 => App\Models\Task {#1846
                  #connection: "mysql"
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                  #keyType: "int"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1819 …2}
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                    0 => "*"
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                }
                3 => App\Models\Task {#1834
                  #connection: "mysql"
                  #table: "tasks"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1844 …2}
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1844 …2}
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                    0 => "*"
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                }
                4 => App\Models\Task {#1850
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik/32-8"
                    "field_display_title" => "8"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1838 …2}
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                    "field_display_title" => "8"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1838 …2}
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                    0 => "*"
                  ]
                }
                5 => App\Models\Task {#1874
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik/32-9"
                    "field_display_title" => "9"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1821 …2}
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№10 (с. 143)
Условие. №10 (с. 143)
скриншот условия
Физика, 9 класс Учебник, авторы: Шахмаев Николай Михайлович, Бунчук Алексей Васильевич, издательство Мнемозина, Москва, 2007, голубого цвета, страница 143, номер 10, Условие

10. Какой выигрыш в силе дает наклонная плоскость?

Решение. №10 (с. 143)

Решение

Наклонная плоскость является одним из простых механизмов. Ее основное предназначение – уменьшить силу, необходимую для подъема тяжелых предметов на определенную высоту.

Выигрыш в силе, который дает наклонная плоскость, можно определить с помощью "золотого правила механики". Согласно этому правилу, во сколько раз мы выигрываем в силе, во столько же раз мы проигрываем в расстоянии. Для идеальной наклонной плоскости, где сила трения отсутствует, работа, затраченная на перемещение тела, равна полезной работе по его подъему.

Обозначим:

  • $\text{P}$ – вес тела (сила, с которой тело давит на опору, равная силе тяжести $mg$);
  • $\text{h}$ – высота, на которую нужно поднять тело;
  • $\text{l}$ – длина наклонной плоскости;
  • $\text{F}$ – сила, которую нужно приложить, чтобы переместить тело вдоль наклонной плоскости.

Полезная работа ($A_п$), совершаемая для подъема тела вертикально на высоту $\text{h}$, равна:

$A_п = P \cdot h$

Затраченная работа ($A_з$) для перемещения тела по наклонной плоскости на расстояние $\text{l}$ равна:

$A_з = F \cdot l$

Приравнивая полезную и затраченную работу (для идеального случая без трения), получаем:

$A_п = A_з$

$P \cdot h = F \cdot l$

Выигрыш в силе определяется как отношение веса тела $\text{P}$ к приложенной силе $\text{F}$. Из полученного уравнения выразим это отношение:

$\frac{P}{F} = \frac{l}{h}$

Таким образом, идеальная наклонная плоскость дает выигрыш в силе, равный отношению ее длины к ее высоте. Это означает, что чем более пологой является плоскость (чем больше ее длина $\text{l}$ по сравнению с высотой $\text{h}$), тем больший выигрыш в силе она обеспечивает, но тем большее расстояние придется пройти.

Важно отметить, что в реальных условиях всегда присутствует сила трения, которая уменьшает реальный выигрыш в силе. Для преодоления силы трения требуется дополнительное усилие, поэтому фактическая приложенная сила будет больше, а выигрыш в силе — меньше, чем в идеальном случае.

Ответ: Идеальная наклонная плоскость (без учета трения) дает выигрыш в силе, равный отношению ее длины $\text{l}$ к ее высоте $\text{h}$. Формула выигрыша в силе: $\frac{P}{F} = \frac{l}{h}$.

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