{"id":7331,"date":"2024-04-15T02:43:09","date_gmt":"2024-04-15T02:43:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7331"},"modified":"2024-04-15T02:43:09","modified_gmt":"2024-04-15T02:43:09","slug":"a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg\/","title":{"rendered":"A square surface 3 m x 3 m lies in a vertical line in water pipe its upper edge at vater surface. The hydrostatic force on square surface is A. 9,000 kg B. 13,500 kg C. 18,000 kg D. 27,000 kg"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;9,000 kg&#8221; option2=&#8221;13,500 kg&#8221; option3=&#8221;18,000 kg&#8221; option4=&#8221;27,000 kg&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{D}}$.<\/p>\n<p>The hydrostatic force on a surface is given by the following equation:<\/p>\n<p>$$F = \\rho g h A$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$\\rho$ is the density of the fluid,<\/li>\n<li>$g$ is the acceleration due to gravity,<\/li>\n<li>$h$ is the depth of the surface, and<\/li>\n<li>$A$ is the area of the surface.<\/li>\n<\/ul>\n<p>In this case, we are given that the density of water is $\\rho = 1000 \\frac{kg}{m^3}$, the acceleration due to gravity is $g = 9.8 \\frac{m}{s^2}$, the depth of the surface is $h = 3 m$, and the area of the surface is $A = 3 m \\times 3 m = 9 m^2$. Substituting these values into the equation for the hydrostatic force, we get:<\/p>\n<p>$$F = (1000 \\frac{kg}{m^3})(9.8 \\frac{m}{s^2})(3 m)(9 m^2) = 27,000 \\text{ N}$$<\/p>\n<p>Therefore, the hydrostatic force on the square surface is $\\boxed{27,000 \\text{ N}}$.<\/p>\n<p>Option A is incorrect because it is the force on a square surface with an area of $1 m^2$. Option B is incorrect because it is the force on a square surface with an area of $2 m^2$. Option C is incorrect because it is the force on a square surface with an area of $4 m^2$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;9,000 kg&#8221; option2=&#8221;13,500 kg&#8221; option3=&#8221;18,000 kg&#8221; option4=&#8221;27,000 kg&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[648],"tags":[],"class_list":["post-7331","post","type-post","status-publish","format-standard","hentry","category-hydraulics-and-fluid-mechanics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A square surface 3 m x 3 m lies in a vertical line in water pipe its upper edge at vater surface. The hydrostatic force on square surface is A. 9,000 kg B. 13,500 kg C. 18,000 kg D. 27,000 kg<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A square surface 3 m x 3 m lies in a vertical line in water pipe its upper edge at vater surface. 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The hydrostatic force on square surface is A. 9,000 kg B. 13,500 kg C. 18,000 kg D. 27,000 kg","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg\/","og_locale":"en_US","og_type":"article","og_title":"A square surface 3 m x 3 m lies in a vertical line in water pipe its upper edge at vater surface. The hydrostatic force on square surface is A. 9,000 kg B. 13,500 kg C. 18,000 kg D. 27,000 kg","og_description":"[amp_mcq option1=&#8221;9,000 kg&#8221; option2=&#8221;13,500 kg&#8221; option3=&#8221;18,000 kg&#8221; option4=&#8221;27,000 kg&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:43:09+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-square-surface-3-m-x-3-m-lies-in-a-vertical-line-in-water-pipe-its-upper-edge-at-vater-surface-the-hydrostatic-force-on-square-surface-is-a-9000-kg-b-13500-kg-c-18000-kg-d-27000-kg\/","name":"A square surface 3 m x 3 m lies in a vertical line in water pipe its upper edge at vater surface. 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