{"id":6763,"date":"2024-04-15T02:33:48","date_gmt":"2024-04-15T02:33:48","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6763"},"modified":"2024-04-15T02:33:48","modified_gmt":"2024-04-15T02:33:48","slug":"a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/","title":{"rendered":"A ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9dc4a595b84\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    0.5 m\/sec                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    1.5 m\/sec                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    2.5 m\/sec                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    3.5 m\/sec                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 1.5 m\/sec}}$.<\/p>\n<p>The coefficient of restitution is a measure of how much energy is lost in an elastic collision. A value of 0.5 indicates that half of the energy is lost, while a value of 1 indicates that no energy is lost.<\/p>\n<p>In this case, the ball is moving with a velocity of 5 m\/sec and impinges a fixed plane at an angle of 45\u00c2\u00b0. The direction after impact is equally inclined to the line of impact. This means that the ball will bounce off the plane at an angle of 45\u00c2\u00b0, and its velocity after impact will be equal to its velocity before impact, but in the opposite direction.<\/p>\n<p>The coefficient of restitution is given by the equation $e = \\frac{v_f &#8211; v_i}{v_i &#8211; v_f}$, where $v_f$ is the final velocity, $v_i$ is the initial velocity, and $e$ is the coefficient of restitution.<\/p>\n<p>In this case, we know that $v_i = 5$ m\/sec, $v_f = -5$ m\/sec, and $e = 0.5$. Substituting these values into the equation, we get $0.5 = \\frac{-5 &#8211; 5}{5 &#8211; (-5)}$. Solving for $v_f$, we get $v_f = 1.5$ m\/sec.<\/p>\n<p>Therefore, the velocity of the ball after impact is $\\boxed{\\text{1.5 m\/sec}}$.<\/p>\n<p>Option A is incorrect because the velocity of the ball after impact cannot be 0.5 m\/sec. The ball is moving with a velocity of 5 m\/sec before impact, and the coefficient of restitution is 0.5. This means that the ball will bounce off the plane at an angle of 45\u00c2\u00b0, and its velocity after impact will be equal to its velocity before impact, but in the opposite direction. The final velocity cannot be less than the initial velocity, so option A is incorrect.<\/p>\n<p>Option B is correct because the velocity of the ball after impact is 1.5 m\/sec. The ball is moving with a velocity of 5 m\/sec before impact, and the coefficient of restitution is 0.5. This means that the ball will bounce off the plane at an angle of 45\u00c2\u00b0, and its velocity after impact will be equal to its velocity before impact, but in the opposite direction. The final velocity cannot be less than the initial velocity, so option A <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> is incorrect. The final velocity cannot be greater than the initial velocity, so option C is incorrect. Option B is the only option that is consistent with the given information.<\/p>\n<p>Option C is incorrect because the velocity of the ball after impact cannot be 2.5 m\/sec. The ball is moving with a velocity of 5 m\/sec before impact, and the coefficient of restitution is 0.5. This means that the ball will bounce off the plane at an angle of 45\u00c2\u00b0, and its velocity after impact will be equal to its velocity before impact, but in the opposite direction. The final <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> velocity cannot be greater than the initial velocity, so option C is incorrect.<\/p>\n<p>Option D is incorrect because the velocity of the ball after impact cannot be 3.5 m\/sec. The ball is moving with a velocity of 5 m\/sec before impact, and the coefficient of restitution is 0.5. This means that the ball will bounce off the plane at an angle of 45\u00c2\u00b0, and its velocity after impact will be equal to its velocity before impact, but in the opposite direction. The final velocity cannot be greater than the initial velocity, so option D is incorrect.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[645],"tags":[],"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 ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec<\/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-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:33:48+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec","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-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/","og_locale":"en_US","og_type":"article","og_title":"A ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec","og_description":"Join Our Telegram Channel Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:33:48+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/","name":"A ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:33:48+00:00","dateModified":"2024-04-15T02:33:48+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-moving-with-a-velocity-of-5-m-sec-impinges-a-fixed-plane-at-an-angle-of-45a-and-its-direction-after-impact-is-equally-inclined-to-the-line-of-impact-if-the-coefficient-of-restitution-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Applied mechanics and graphic statics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/applied-mechanics-and-graphic-statics\/"},{"@type":"ListItem","position":5,"name":"A ball moving with a velocity of 5 m\/sec impinges a fixed plane at an angle of 45\u00c2\u00b0 and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be A. 0.5 m\/sec B. 1.5 m\/sec C. 2.5 m\/sec D. 3.5 m\/sec"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6763"}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=6763"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6763\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=6763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=6763"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=6763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}