{"id":41936,"date":"2025-06-28T12:09:03","date_gmt":"2025-06-28T12:09:03","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=41936"},"modified":"2025-06-28T12:09:04","modified_gmt":"2025-06-28T12:09:04","slug":"an-objects-speed-is-increased-by-a-factor-of-three","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/an-objects-speed-is-increased-by-a-factor-of-three\/","title":{"rendered":"An objects speed is increased by a factor of three."},"content":{"rendered":"\n<p>An objects speed is increased by a factor of three. What does this do to its kinetic energy? The kinetic energy increases, but less than by a factor of two. The kinetic energy increases by a factor of three. The kinetic energy cannot be determined. The kinetic energy increases by a factor of two. It does not affect the kinetic energy. The kinetic energy increases by more than a factor of three.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is: <strong>The kinetic energy increases by more than a factor of three.<\/strong><\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>Kinetic energy (KE) is given by the equation:KE=12mv2KE = \\frac{1}{2} m v^2KE=21\u200bmv2<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>mmm is the mass of the object.<\/li>\n\n\n\n<li>vvv is the velocity (speed) of the object.<\/li>\n<\/ul>\n\n\n\n<p>If the speed of the object is increased by a factor of three, we are changing vvv in the kinetic energy formula.<\/p>\n\n\n\n<p>Let\u2019s say the initial speed is v1v_1v1\u200b and the initial kinetic energy is:KE1=12mv12KE_1 = \\frac{1}{2} m v_1^2KE1\u200b=21\u200bmv12\u200b<\/p>\n\n\n\n<p>Now, if the speed is increased by a factor of three, the new speed is v2=3v1v_2 = 3v_1v2\u200b=3v1\u200b. The new kinetic energy is:KE2=12m(3v1)2=12m\u22c59v12=9(12mv12)=9KE1KE_2 = \\frac{1}{2} m (3v_1)^2 = \\frac{1}{2} m \\cdot 9v_1^2 = 9 \\left( \\frac{1}{2} m v_1^2 \\right) = 9 KE_1KE2\u200b=21\u200bm(3v1\u200b)2=21\u200bm\u22c59v12\u200b=9(21\u200bmv12\u200b)=9KE1\u200b<\/p>\n\n\n\n<p>So, the kinetic energy increases by a factor of <strong>nine<\/strong> when the speed increases by a factor of three. This shows that kinetic energy is proportional to the square of the velocity, meaning that if the speed increases by a factor of nnn, the kinetic energy increases by a factor of n2n^2n2. Therefore, when the speed is tripled, the kinetic energy increases by a factor of nine, not three.<\/p>\n\n\n\n<p>This relationship highlights the non-linear dependence of kinetic energy on speed. As the speed increases, the kinetic energy increases much more rapidly due to the squared term in the kinetic energy formula.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1363.jpeg\" alt=\"\" class=\"wp-image-41937\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1363.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1363-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1363-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>An objects speed is increased by a factor of three. What does this do to its kinetic energy? The kinetic energy increases, but less than by a factor of two. The kinetic energy increases by a factor of three. The kinetic energy cannot be determined. The kinetic energy increases by a factor of two. It [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-41936","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41936","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=41936"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41936\/revisions"}],"predecessor-version":[{"id":41938,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41936\/revisions\/41938"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=41936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=41936"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=41936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}