{"id":136790,"date":"2024-09-11T09:24:58","date_gmt":"2024-09-11T09:24:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=136790"},"modified":"2024-09-11T09:28:14","modified_gmt":"2024-09-11T09:28:14","slug":"a-girl-and-a-dog-are-playing-tug-of-war-with-a-piece-of-rope","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/11\/a-girl-and-a-dog-are-playing-tug-of-war-with-a-piece-of-rope\/","title":{"rendered":"A girl and a dog are playing tug of war with a piece of rope"},"content":{"rendered":"\n

A girl and a dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards the east, and the dog pulls with a force of 190 N towards the west. What is the net force on the rope?<\/p>\n\n\n\n

A.
25 N towards the west<\/p>\n\n\n\n

B.
190 N towards the west<\/p>\n\n\n\n

C.
165 N towards the east<\/p>\n\n\n\n

D.
35 N towards the east<\/p>\n\n\n\n

The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is A. 25 N towards the west<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

In this tug-of-war scenario, we need to calculate the net force on the rope by considering the forces applied by both the girl and the dog.<\/p>\n\n\n\n

    \n
  1. Determine the Magnitudes of the Forces:<\/strong><\/li>\n<\/ol>\n\n\n\n
      \n
    • The girl pulls with a force of 165 newtons (N) towards the east.<\/li>\n\n\n\n
    • The dog pulls with a force of 190 N towards the west.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Assign Directions to Forces:<\/strong><\/li>\n<\/ol>\n\n\n\n
          \n
        • Let’s consider the east direction as positive and the west direction as negative for simplicity in calculations.<\/li>\n<\/ul>\n\n\n\n
            \n
          1. Calculate the Net Force:<\/strong>
            To find the net force, we need to subtract the smaller force from the larger force and consider the direction of the larger force. Here, the dog pulls with a greater force than the girl.<\/li>\n<\/ol>\n\n\n\n
              \n
            • Force exerted by the girl (east direction): ( +165 \\, \\text{N} )<\/li>\n\n\n\n
            • Force exerted by the dog (west direction): ( -190 \\, \\text{N} ) The net force ( F_{\\text{net}} ) is given by:
              [
              F_{\\text{net}} = \\text{Force of dog} – \\text{Force of girl}
              ]
              Substituting the values:
              [
              F_{\\text{net}} = (-190 \\, \\text{N}) – (+165 \\, \\text{N})
              ]
              [
              F_{\\text{net}} = -190 \\, \\text{N} – 165 \\, \\text{N}
              ]
              [
              F_{\\text{net}} = -355 \\, \\text{N}
              ]<\/li>\n<\/ul>\n\n\n\n
                \n
              1. Determine the Direction:<\/strong>
                Since the net force is negative, it means the direction of the net force is towards the west. The magnitude of the net force is ( 355 \\, \\text{N} ).<\/li>\n<\/ol>\n\n\n\n

                Therefore, the net force on the rope is 25 N towards the west<\/strong> because the total pulling force from the dog is more than the girl’s force by this amount. The forces were incorrectly computed in the steps above; the correct calculation is:<\/p>\n\n\n\n

                [
                F_{\\text{net}} = 190 \\, \\text{N} – 165 \\, \\text{N} = 25 \\, \\text{N}
                ]
                and it is directed towards the west, as the dog exerts a stronger force.<\/p>\n","protected":false},"excerpt":{"rendered":"

                A girl and a dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards the east, and the dog pulls with a force of 190 N towards the west. What is the net force on the rope? A.25 N towards […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-136790","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136790","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=136790"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136790\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=136790"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=136790"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=136790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}