{"id":420,"date":"2023-06-18T20:37:37","date_gmt":"2023-06-18T20:37:37","guid":{"rendered":"https:\/\/physigeek.com\/tr\/mesafe-ve-ofset\/"},"modified":"2023-06-18T20:37:37","modified_gmt":"2023-06-18T20:37:37","slug":"mesafe-ve-ofset","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/mesafe-ve-ofset\/","title":{"rendered":"Mesafe ve yer de\u011fi\u015ftirme"},"content":{"rendered":"<p>Bu yaz\u0131da fizikte mesafe ve yer de\u011fi\u015ftirme aras\u0131ndaki farklar\u0131 \u00f6\u011freneceksiniz. Ayr\u0131ca mesafe ve hareketle ilgili sabit bir sorun g\u00f6receksiniz.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Distancia\"><\/span> Mesafe<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Mesafe,<\/strong> iki nokta veya nesne aras\u0131ndaki uzunlu\u011fu belirten skaler bir miktard\u0131r. Yani bir cismin kat etti\u011fi mesafe, o cismin t\u00fcm yolunun uzunlu\u011fudur. Fizikte iki nokta aras\u0131ndaki mesafe genellikle d harfiyle g\u00f6sterilir.<\/p>\n<p> \u0130ki nokta aras\u0131ndaki mesafe, iki noktan\u0131n koordinatlar\u0131 aras\u0131ndaki fark\u0131n mutlak de\u011ferine e\u015fittir. Bu nedenle iki nokta aras\u0131ndaki mesafeyi hesaplamak i\u00e7in koordinatlar\u0131n\u0131 \u00e7\u0131karman\u0131z ve sonucu pozitif yapman\u0131z yeterlidir. \u00d6zetle <strong>iki nokta aras\u0131ndaki mesafeyi hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8f2068d342e1522eb86718d3e5c62401_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{12}=|x_2-x_1|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1b84f3f31f727a3df9750d2edcbf388d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -3px;\"><\/p>\n<p> 1. nokta ile 2. nokta aras\u0131ndaki mesafedir. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d7aa45c8899989487fb32dab51a8f7d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> 1 noktas\u0131n\u0131n koordinat\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-de02251c2c969c17b8633e299d9a2244_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> 2 noktas\u0131n\u0131n koordinat\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> Mutlak de\u011fer i\u015fleminin, i\u00e7erdi\u011fi say\u0131y\u0131 i\u015fareti ne olursa olsun pozitif almay\u0131, yani negatif bir say\u0131y\u0131 pozitif say\u0131ya d\u00f6n\u00fc\u015ft\u00fcrmeyi i\u00e7erdi\u011fini unutmay\u0131n. <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-09abd174c554f965ffebb58c42027d8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}|5|=5\\\\[2ex]|-5|=5\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\">Mesafe hesaplama \u00f6rne\u011fi<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Desplazamiento\"><\/span> Vardiya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Yer de\u011fi\u015ftirme<\/strong> , bir cismin konumundaki de\u011fi\u015fikliktir; yani bir cismin yer de\u011fi\u015ftirmesi, son konumu eksi ba\u015flang\u0131\u00e7 konumu \u00e7\u0131kar\u0131larak hesaplan\u0131r. Yer de\u011fi\u015ftirmenin sembol\u00fc \u0394x&#8217;tir, ancak fizikte \u0394r sembol\u00fcyle de temsil edilir.<\/p>\n<p> Yer de\u011fi\u015ftirme, son konum ile ba\u015flang\u0131\u00e7 konumu aras\u0131ndaki farka e\u015fittir. Bu nedenle, hareketli bir cismin yer de\u011fi\u015ftirmesini hesaplamak i\u00e7in, cismin son konumunu ba\u015flang\u0131\u00e7 konumundan \u00e7\u0131karmam\u0131z gerekir. K\u0131saca <strong>yer de\u011fi\u015ftirmeyi hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e72c4d70f3ba0106279fb993c4897a33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta x=x_f-x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e936d3a449e3ecae93ebb5ae1e61feac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"25\" style=\"vertical-align: 0px;\"><\/p>\n<p> ofsettir. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5aeb431aea5ca3372dbd215fd619e3dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -6px;\"><\/p>\n<p> son konumdur. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u015flang\u0131\u00e7 pozisyonudur. <\/span><\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\">Yer de\u011fi\u015ftirme hesaplamas\u0131 \u00f6rne\u011fi<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Distancia-y-desplazamiento\"><\/span> Mesafe ve yer de\u011fi\u015ftirme<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uzakl\u0131k ve yer de\u011fi\u015ftirmenin tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra fizikte uzakl\u0131k ile yer de\u011fi\u015ftirme aras\u0131ndaki fark\u0131n tam olarak ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> <strong>Mesafe ile yer de\u011fi\u015ftirme aras\u0131ndaki fark,<\/strong> mesafenin gidilen t\u00fcm yolun uzunlu\u011fu olmas\u0131d\u0131r, ancak yer de\u011fi\u015ftirme son konum ile ba\u015flang\u0131\u00e7 konumu aras\u0131ndaki farkt\u0131r.<\/p>\n<p> Bu nedenle kat edilen mesafe her zaman yer de\u011fi\u015ftirmeye e\u015fit veya ondan daha b\u00fcy\u00fck olacakt\u0131r. Ancak yer de\u011fi\u015ftirme iki nokta aras\u0131ndaki minimum mesafe oldu\u011fundan, bir cismin bir noktadan di\u011ferine giderken kat etti\u011fi mesafe daha b\u00fcy\u00fck olabilir. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance.png\" alt=\"mesafe ve yer de\u011fi\u015ftirme\" class=\"wp-image-7836\" width=\"286\" height=\"224\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance-300x234.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance.png 424w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/hiz-ve-hiz\/\">H\u0131z ve h\u0131z<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicio-resuelto-de-la-distancia-y-el-desplazamiento\"><\/span> \u00c7\u00f6z\u00fclm\u00fc\u015f mesafe ve hareket egzersizi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, bu iki kavram aras\u0131ndaki fark\u0131 anlamay\u0131 tamamlamak i\u00e7in sizi kararl\u0131 bir mesafe ve hareket egzersiziyle ba\u015f ba\u015fa b\u0131rak\u0131yoruz.<\/p>\n<ul>\n<li> Hareket eden bir cisim d\u00fcz bir \u00e7izgide ileri geri hareket ederek \u015fu konumlardan ge\u00e7er: x <sub>1<\/sub> =2 m, x <sub>2<\/sub> =3 m, x <sub>3<\/sub> =7 m, x <sub>4<\/sub> =5 m, x <sub>5<\/sub> = 8 m. V\u00fccudun yer de\u011fi\u015ftirmesini ve kat etti\u011fi mesafeyi hesaplay\u0131n.<\/li>\n<\/ul>\n<p> Cismin yer de\u011fi\u015ftirmesini bulmak kolayd\u0131r, sadece son konum eksi ba\u015flang\u0131\u00e7 konumunu \u00e7\u0131kar\u0131n:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-962de84832c44632ca8ab4e141a5197e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\Delta x&amp;=x_f-x_i\\\\[2ex]\\Delta x&amp;=8-2\\\\[2ex]\\Delta x&amp;=6 \\ m\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"104\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u00d6te yandan kat edilen toplam mesafeyi belirlemek i\u00e7in \u00f6ncelikle ara konumlar\u0131n her biri aras\u0131ndaki mesafeyi hesaplaman\u0131z ve ard\u0131ndan hesaplanan t\u00fcm mesafeleri toplaman\u0131z gerekir. B\u00f6ylece her konum aras\u0131ndaki uzunlu\u011fu hesapl\u0131yoruz: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3008dba59159c93df7bc6c0a92aa2c23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{12}=|x_2-x_1|=|3-2|=1 \\ m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-11414604323a4110beaad9f9a24bb6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{23}=|x_3-x_2|=|7-3|=4 \\ m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d394c2acc9e99f49911772f8625b10d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{34}=|x_4-x_3|=|5-7|=2 \\ m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f8d0cd23008a9bc1b0d1d4a2116e1b1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{45}=|x_5-x_4|=|8-5|=3 \\ m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> B\u00f6ylece kat edilen toplam mesafe, farkl\u0131 konumlar aras\u0131ndaki t\u00fcm mesafelerin toplanmas\u0131yla hesaplan\u0131r: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-389fc41db8c78932583321780b6eb1fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} d&amp;=d_{12}+d_{23}+d_{34}+d_{45}\\\\[2ex]d&amp;=1+4+2+3\\\\[2ex]d&amp;= 10 \\ m\\end{align\u00e9}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"192\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/hiz-ve-ivme\/\">H\u0131z ve ivme<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da fizikte mesafe ve yer de\u011fi\u015ftirme aras\u0131ndaki farklar\u0131 \u00f6\u011freneceksiniz. Ayr\u0131ca mesafe ve hareketle ilgili sabit bir sorun g\u00f6receksiniz. Mesafe Mesafe, iki nokta veya nesne aras\u0131ndaki uzunlu\u011fu belirten skaler bir miktard\u0131r. Yani bir cismin kat etti\u011fi mesafe, o cismin t\u00fcm yolunun uzunlu\u011fudur. Fizikte iki nokta aras\u0131ndaki mesafe genellikle d harfiyle g\u00f6sterilir. \u0130ki nokta aras\u0131ndaki mesafe, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/mesafe-ve-ofset\/\"> <span class=\"screen-reader-text\">Mesafe ve yer de\u011fi\u015ftirme<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-420","post","type-post","status-publish","format-standard","hentry","category-sinematik"],"yoast_head":"<!-- This site is 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ayr\u0131ca mesafe ve yer de\u011fi\u015ftirme ile ilgili \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmalar\u0131 bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/tr\/mesafe-ve-ofset\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-18T20:37:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8f2068d342e1522eb86718d3e5c62401_l3.png\" \/>\n<meta name=\"author\" content=\"Jonathan Reynolds\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jonathan Reynolds\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" 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