{"id":4711,"date":"2025-04-23T12:22:42","date_gmt":"2025-04-23T06:52:42","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=4711"},"modified":"2025-07-22T14:50:23","modified_gmt":"2025-07-22T09:20:23","slug":"law-of-restitution","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/engineering-mechanics\/law-of-restitution","title":{"rendered":"Law of Restitution"},"content":{"rendered":"<h2>Law of Restitution<\/h2>\n<p>Consider two bodies of mass m1 and m2 respectively. Let these bodies be moving with respective velocities u1 and u2 before impact. The impact will take place only if u1 &gt; u2. Thus, velocity of approach is (u1 \u2013 u2).<\/p>\n<p>After a short period of contact, the bodies will separate and will start moving with velocities v1 and v2 respectively. The separation will occur only if v2 &gt; v1 and velocity of separation is (v2 \u2013 v1).<\/p>\n<p>Newton\u2019s law of collision for elastic bodies states that<\/p>\n<p>When two moving bodies collide with each other, their velocity of separation bears a constant ratio with their velocity of approach.<\/p>\n<p>or v2 \u2013 v1=e(u1 \u2013 u2)<\/p>\n<p style=\"text-align: justify;\">where e is a constant of proportionality and is known as <a href=\"https:\/\/study.madeeasy.in\/me\/strength-of-materials\/coefficient-of-friction\/\" target=\"_blank\" rel=\"noopener\">coefficient<\/a> of restitution. The coefficient of restitution is a parameter which indicates the energy lost during an impact. The value of e lies between 0 and 1. If e = 0, the impact is inelastic. If e = 1, the impact is perfectly elastic.<\/p>\n<h3>Loss of Kinetic Energy During Impact<\/h3>\n<p style=\"text-align: justify;\">Consider two bodies of mass m1 and m2 moving with respective velocities u1 and u2 before impact. Let v1 and v2 is their respective velocities after impact, then<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4712 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/04\/kinetic-energy.jpg\" alt=\"Kinetic Energy\" width=\"612\" height=\"530\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/04\/kinetic-energy.jpg 612w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/04\/kinetic-energy-300x260.jpg 300w\" sizes=\"auto, (max-width: 612px) 100vw, 612px\" \/><\/p>\n<p>Thus, in case of perfectly <a href=\"https:\/\/study.madeeasy.in\/me\/strength-of-materials\/elastic-constants\/\" target=\"_blank\" rel=\"noopener\">elastic<\/a> impact, both the momentum and kinetic energy are conserved.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Law of Restitution Consider two bodies of mass m1 and m2 respectively. Let these bodies be moving with respective velocities<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,10],"tags":[1408,1260],"class_list":["post-4711","post","type-post","status-publish","format-standard","hentry","category-engineering-mechanics","category-me","tag-coefficient-of-restitution","tag-kinetic-energy"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4711","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=4711"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4711\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=4711"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=4711"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=4711"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}