{"id":90701,"date":"2025-06-01T10:34:03","date_gmt":"2025-06-01T10:34:03","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90701"},"modified":"2025-06-01T10:34:03","modified_gmt":"2025-06-01T10:34:03","slug":"two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/","title":{"rendered":"Two objects, x and y, have equal mass and are moving with speeds u and"},"content":{"rendered":"

Two objects, x and y, have equal mass and are moving with speeds u and 3u respectively. Their kinetic energies k_x and k_y are related as<\/p>\n

[amp_mcq option1=”k_x = k_y” option2=”2k_x = k_y” option3=”9k_x = k_y” option4=”3k_x = k_y” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is C, 9k_x = k_y.
\n<\/section>\n
\nThe kinetic energy (k) of an object with mass (m) and speed (v) is given by the formula k = \u00bd mv\u00b2.
\nFor object x, mass is m and speed is u, so k_x = \u00bd mu\u00b2.
\nFor object y, mass is m and speed is 3u, so k_y = \u00bd m(3u)\u00b2 = \u00bd m(9u\u00b2) = 9 (\u00bd mu\u00b2).
\nComparing k_y with k_x, we find k_y = 9k_x, or 9k_x = k_y.
\n<\/section>\n
\nKinetic energy is directly proportional to the mass of the object and the square of its speed. Doubling the speed of an object quadruples its kinetic energy (if mass remains constant). Tripling the speed increases the kinetic energy by a factor of nine.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Two objects, x and y, have equal mass and are moving with speeds u and 3u respectively. Their kinetic energies k_x and k_y are related as [amp_mcq option1=”k_x = k_y” option2=”2k_x = k_y” option3=”9k_x = k_y” option4=”3k_x = k_y” correct=”option3″] This question was previously asked in UPSC CAPF – 2022 Download PDFAttempt Online The correct … <\/p>\n

Detailed SolutionTwo objects, x and y, have equal mass and are moving with speeds u and<\/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":[1108,1129,1128],"class_list":["post-90701","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1108","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nTwo objects, x and y, have equal mass and are moving with speeds u and<\/title>\n<meta name=\"description\" content=\"The correct answer is C, 9k_x = k_y. The kinetic energy (k) of an object with mass (m) and speed (v) is given by the formula k = \u00bd mv\u00b2. For object x, mass is m and speed is u, so k_x = \u00bd mu\u00b2. For object y, mass is m and speed is 3u, so k_y = \u00bd m(3u)\u00b2 = \u00bd m(9u\u00b2) = 9 (\u00bd mu\u00b2). Comparing k_y with k_x, we find k_y = 9k_x, or 9k_x = k_y.\" \/>\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\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two objects, x and y, have equal mass and are moving with speeds u and\" \/>\n<meta property=\"og:description\" content=\"The correct answer is C, 9k_x = k_y. The kinetic energy (k) of an object with mass (m) and speed (v) is given by the formula k = \u00bd mv\u00b2. For object x, mass is m and speed is u, so k_x = \u00bd mu\u00b2. For object y, mass is m and speed is 3u, so k_y = \u00bd m(3u)\u00b2 = \u00bd m(9u\u00b2) = 9 (\u00bd mu\u00b2). Comparing k_y with k_x, we find k_y = 9k_x, or 9k_x = k_y.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:34:03+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":"Two objects, x and y, have equal mass and are moving with speeds u and","description":"The correct answer is C, 9k_x = k_y. The kinetic energy (k) of an object with mass (m) and speed (v) is given by the formula k = \u00bd mv\u00b2. For object x, mass is m and speed is u, so k_x = \u00bd mu\u00b2. For object y, mass is m and speed is 3u, so k_y = \u00bd m(3u)\u00b2 = \u00bd m(9u\u00b2) = 9 (\u00bd mu\u00b2). Comparing k_y with k_x, we find k_y = 9k_x, or 9k_x = k_y.","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\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/","og_locale":"en_US","og_type":"article","og_title":"Two objects, x and y, have equal mass and are moving with speeds u and","og_description":"The correct answer is C, 9k_x = k_y. The kinetic energy (k) of an object with mass (m) and speed (v) is given by the formula k = \u00bd mv\u00b2. For object x, mass is m and speed is u, so k_x = \u00bd mu\u00b2. For object y, mass is m and speed is 3u, so k_y = \u00bd m(3u)\u00b2 = \u00bd m(9u\u00b2) = 9 (\u00bd mu\u00b2). Comparing k_y with k_x, we find k_y = 9k_x, or 9k_x = k_y.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:34:03+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\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/","url":"https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/","name":"Two objects, x and y, have equal mass and are moving with speeds u and","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:34:03+00:00","dateModified":"2025-06-01T10:34:03+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is C, 9k_x = k_y. The kinetic energy (k) of an object with mass (m) and speed (v) is given by the formula k = \u00bd mv\u00b2. For object x, mass is m and speed is u, so k_x = \u00bd mu\u00b2. For object y, mass is m and speed is 3u, so k_y = \u00bd m(3u)\u00b2 = \u00bd m(9u\u00b2) = 9 (\u00bd mu\u00b2). Comparing k_y with k_x, we find k_y = 9k_x, or 9k_x = k_y.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-objects-x-and-y-have-equal-mass-and-are-moving-with-speeds-u-and\/#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":"Two objects, x and y, have equal mass and are moving with speeds u and"}]},{"@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\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?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\/90701","targetHints":{"allow":["GET"]}}],"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=90701"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90701\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90701"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90701"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90701"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}