{"id":89285,"date":"2025-06-01T10:00:38","date_gmt":"2025-06-01T10:00:38","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89285"},"modified":"2025-06-01T10:00:38","modified_gmt":"2025-06-01T10:00:38","slug":"x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/","title":{"rendered":"X is twice as massive as Y. X also runs twice faster than Y. Which one"},"content":{"rendered":"

X is twice as massive as Y. X also runs twice faster than Y. Which one among the following is the ratio of kinetic energy of X and Y ?<\/p>\n

[amp_mcq option1=”1 : 8″ option2=”8 : 1″ option3=”4 : 1″ option4=”2 : 1″ correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2010<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe ratio of kinetic energy of X and Y is 8 : 1.
\n<\/section>\n
\nThe kinetic energy (KE) of an object is given by the formula KE = \u00bd * m * v\u00b2, where m is the mass and v is the velocity. Given that the mass of X (m_X) is twice the mass of Y (m_Y), so m_X = 2 * m_Y. Also, the velocity of X (v_X) is twice the velocity of Y (v_Y), so v_X = 2 * v_Y.
\nKE_X = \u00bd * m_X * v_X\u00b2 = \u00bd * (2 * m_Y) * (2 * v_Y)\u00b2 = \u00bd * 2 * m_Y * 4 * v_Y\u00b2 = 8 * (\u00bd * m_Y * v_Y\u00b2)
\nKE_Y = \u00bd * m_Y * v_Y\u00b2
\nThe ratio KE_X \/ KE_Y = [8 * (\u00bd * m_Y * v_Y\u00b2)] \/ [\u00bd * m_Y * v_Y\u00b2] = 8 \/ 1. Thus, the ratio is 8:1.
\n<\/section>\n
\nKinetic energy is a scalar quantity representing the energy of motion. It is directly proportional to the mass of the object and the square of its velocity. Doubling the velocity has a much greater impact on kinetic energy than doubling the mass.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

X is twice as massive as Y. X also runs twice faster than Y. Which one among the following is the ratio of kinetic energy of X and Y ? [amp_mcq option1=”1 : 8″ option2=”8 : 1″ option3=”4 : 1″ option4=”2 : 1″ correct=”option2″] This question was previously asked in UPSC CAPF – 2010 Download … <\/p>\n

Detailed SolutionX is twice as massive as Y. X also runs twice faster than Y. Which one<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1464,1129,1128],"class_list":["post-89285","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1464","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nX is twice as massive as Y. X also runs twice faster than Y. Which one<\/title>\n<meta name=\"description\" content=\"The ratio of kinetic energy of X and Y is 8 : 1. The kinetic energy (KE) of an object is given by the formula KE = \u00bd * m * v\u00b2, where m is the mass and v is the velocity. Given that the mass of X (m_X) is twice the mass of Y (m_Y), so m_X = 2 * m_Y. Also, the velocity of X (v_X) is twice the velocity of Y (v_Y), so v_X = 2 * v_Y. KE_X = \u00bd * m_X * v_X\u00b2 = \u00bd * (2 * m_Y) * (2 * v_Y)\u00b2 = \u00bd * 2 * m_Y * 4 * v_Y\u00b2 = 8 * (\u00bd * m_Y * v_Y\u00b2) KE_Y = \u00bd * m_Y * v_Y\u00b2 The ratio KE_X \/ KE_Y = [8 * (\u00bd * m_Y * v_Y\u00b2)] \/ [\u00bd * m_Y * v_Y\u00b2] = 8 \/ 1. Thus, the ratio is 8:1.\" \/>\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\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"X is twice as massive as Y. X also runs twice faster than Y. Which one\" \/>\n<meta property=\"og:description\" content=\"The ratio of kinetic energy of X and Y is 8 : 1. The kinetic energy (KE) of an object is given by the formula KE = \u00bd * m * v\u00b2, where m is the mass and v is the velocity. Given that the mass of X (m_X) is twice the mass of Y (m_Y), so m_X = 2 * m_Y. Also, the velocity of X (v_X) is twice the velocity of Y (v_Y), so v_X = 2 * v_Y. KE_X = \u00bd * m_X * v_X\u00b2 = \u00bd * (2 * m_Y) * (2 * v_Y)\u00b2 = \u00bd * 2 * m_Y * 4 * v_Y\u00b2 = 8 * (\u00bd * m_Y * v_Y\u00b2) KE_Y = \u00bd * m_Y * v_Y\u00b2 The ratio KE_X \/ KE_Y = [8 * (\u00bd * m_Y * v_Y\u00b2)] \/ [\u00bd * m_Y * v_Y\u00b2] = 8 \/ 1. Thus, the ratio is 8:1.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:00:38+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=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"X is twice as massive as Y. X also runs twice faster than Y. Which one","description":"The ratio of kinetic energy of X and Y is 8 : 1. The kinetic energy (KE) of an object is given by the formula KE = \u00bd * m * v\u00b2, where m is the mass and v is the velocity. Given that the mass of X (m_X) is twice the mass of Y (m_Y), so m_X = 2 * m_Y. Also, the velocity of X (v_X) is twice the velocity of Y (v_Y), so v_X = 2 * v_Y. KE_X = \u00bd * m_X * v_X\u00b2 = \u00bd * (2 * m_Y) * (2 * v_Y)\u00b2 = \u00bd * 2 * m_Y * 4 * v_Y\u00b2 = 8 * (\u00bd * m_Y * v_Y\u00b2) KE_Y = \u00bd * m_Y * v_Y\u00b2 The ratio KE_X \/ KE_Y = [8 * (\u00bd * m_Y * v_Y\u00b2)] \/ [\u00bd * m_Y * v_Y\u00b2] = 8 \/ 1. Thus, the ratio is 8:1.","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\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/","og_locale":"en_US","og_type":"article","og_title":"X is twice as massive as Y. X also runs twice faster than Y. Which one","og_description":"The ratio of kinetic energy of X and Y is 8 : 1. The kinetic energy (KE) of an object is given by the formula KE = \u00bd * m * v\u00b2, where m is the mass and v is the velocity. Given that the mass of X (m_X) is twice the mass of Y (m_Y), so m_X = 2 * m_Y. Also, the velocity of X (v_X) is twice the velocity of Y (v_Y), so v_X = 2 * v_Y. KE_X = \u00bd * m_X * v_X\u00b2 = \u00bd * (2 * m_Y) * (2 * v_Y)\u00b2 = \u00bd * 2 * m_Y * 4 * v_Y\u00b2 = 8 * (\u00bd * m_Y * v_Y\u00b2) KE_Y = \u00bd * m_Y * v_Y\u00b2 The ratio KE_X \/ KE_Y = [8 * (\u00bd * m_Y * v_Y\u00b2)] \/ [\u00bd * m_Y * v_Y\u00b2] = 8 \/ 1. Thus, the ratio is 8:1.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:00:38+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\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/","url":"https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/","name":"X is twice as massive as Y. X also runs twice faster than Y. Which one","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:00:38+00:00","dateModified":"2025-06-01T10:00:38+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The ratio of kinetic energy of X and Y is 8 : 1. The kinetic energy (KE) of an object is given by the formula KE = \u00bd * m * v\u00b2, where m is the mass and v is the velocity. Given that the mass of X (m_X) is twice the mass of Y (m_Y), so m_X = 2 * m_Y. Also, the velocity of X (v_X) is twice the velocity of Y (v_Y), so v_X = 2 * v_Y. KE_X = \u00bd * m_X * v_X\u00b2 = \u00bd * (2 * m_Y) * (2 * v_Y)\u00b2 = \u00bd * 2 * m_Y * 4 * v_Y\u00b2 = 8 * (\u00bd * m_Y * v_Y\u00b2) KE_Y = \u00bd * m_Y * v_Y\u00b2 The ratio KE_X \/ KE_Y = [8 * (\u00bd * m_Y * v_Y\u00b2)] \/ [\u00bd * m_Y * v_Y\u00b2] = 8 \/ 1. Thus, the ratio is 8:1.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/x-is-twice-as-massive-as-y-x-also-runs-twice-faster-than-y-which-one\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"X is twice as massive as Y. X also runs twice faster than Y. 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