{"id":1790,"date":"2025-08-21T23:24:20","date_gmt":"2025-08-21T23:24:20","guid":{"rendered":"https:\/\/qpr.ca\/blogs\/physics\/?p=1790"},"modified":"2025-08-21T23:24:20","modified_gmt":"2025-08-21T23:24:20","slug":"does-mass-increase-with-velocity","status":"publish","type":"post","link":"https:\/\/qpr.ca\/blogs\/physics\/2025\/08\/21\/does-mass-increase-with-velocity\/","title":{"rendered":"Does mass increase with velocity?\u00a0"},"content":{"rendered":"<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">The claim of \u201cmass increase with velocity\u201d is based on using the word \u201cmass\u201d for something that is not a property of the object itself but rather depends also on the relative velocity of the observer.<\/p>\n<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">Although this usage is not \u201cwrong\u201d and was fairly common in the early days, most physicists soon chose to use the word \u201cmass\u201d just for the invariant \u201crest mass\u201d and followed the title of Einstein\u2019s initial paper on the effect by just using the word \u201cinertia\u201d for the velocity-dependent quantity that used to be called the \u201cinertial (or relativistic) mass\u201d.<\/p>\n<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">In order to prove that the observed \u201cinertia\u201d depends on the relative speed (and direction) of motion of the observer it is necessary first to define it.<\/p>\n<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">One way is to define it as the ratio of applied force to observed acceleration, but this in turn requires a clear definition of force. For example you could perhaps look at the dynamics of a collision with an object of known mass at rest in the observer\u2019s frame.<\/p>\n<p class=\"q-text qu-display--block qu-wordBreak--break-word qu-textAlign--start\">Or perhaps you could just read\u00a0<a class=\"q-box qu-cursor--pointer qu-hover--textDecoration--underline b2c1r2a puppeteer_test_link\" title=\"chrome-extension\" href=\"http:\/\/chrome-extension\/efaidnbmnnnibpcajpcglclefindmkaj\/https:\/\/www.fourmilab.ch\/etexts\/einstein\/E_mc2\/e_mc2.pdf\" target=\"_blank\" rel=\"noopener nofollow\">Einstein\u2019s original paper<\/a>\u00a0on the subject.<\/p>\n<p>Source: <em><a href=\"https:\/\/www.quora.com\/Why-does-mass-increase-with-velocity-as-an-object-approaches-the-speed-of-light-How-can-I-prove-it-mathematically\/answer\/Alan-Cooper-5\">(915) Alan Cooper&#8217;s answer to Why does mass increase with velocity as an object approaches the speed of light? How can I prove it mathematically? &#8211; Quora<\/a><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The claim of \u201cmass increase with velocity\u201d is based on using the word \u201cmass\u201d for something that is not a property of the object itself but rather depends also on the relative velocity of the observer. Although this usage is not \u201cwrong\u201d and was fairly common in the early days, most physicists soon chose to &hellip; <a href=\"https:\/\/qpr.ca\/blogs\/physics\/2025\/08\/21\/does-mass-increase-with-velocity\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Does mass increase with velocity?\u00a0<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"topics":[],"class_list":["post-1790","post","type-post","status-publish","format-standard","hentry","category-all"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts\/1790","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/comments?post=1790"}],"version-history":[{"count":1,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts\/1790\/revisions"}],"predecessor-version":[{"id":1792,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts\/1790\/revisions\/1792"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/media?parent=1790"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/categories?post=1790"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/tags?post=1790"},{"taxonomy":"topics","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/topics?post=1790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}