{"id":240,"date":"2023-06-23T12:42:01","date_gmt":"2023-06-23T12:42:01","guid":{"rendered":"https:\/\/physigeek.com\/tr\/yer-cekimsel-potansiyel\/"},"modified":"2023-06-23T12:42:01","modified_gmt":"2023-06-23T12:42:01","slug":"yer-cekimsel-potansiyel","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/yer-cekimsel-potansiyel\/","title":{"rendered":"Yer \u00e7ekimsel potansiyel"},"content":{"rendered":"<p>Bu makale fizikte yer\u00e7ekimi potansiyelinin ne oldu\u011funu a\u00e7\u0131kl\u0131yor. Benzer \u015fekilde, yer\u00e7ekimi potansiyelinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131, yer\u00e7ekimi potansiyelinin \u00e7\u00f6z\u00fclm\u00fc\u015f bir egzersizini ve e\u015f potansiyel bir y\u00fczeyin nelerden olu\u015ftu\u011funu ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-potencial-gravitatorio\"><\/span> Yer\u00e7ekimi potansiyeli nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fizikte, <strong>yer\u00e7ekimi potansiyeli<\/strong> (veya <strong>yer\u00e7ekimi potansiyeli<\/strong> ), yer\u00e7ekimi alan\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131lan bir niceliktir.<\/p>\n<p> Daha do\u011frusu, bir noktadaki \u00e7ekim potansiyelinin de\u011feri, bir kuvvetin bir cismi sabit h\u0131zla \u00e7ekim alan\u0131ndaki o noktaya ta\u015f\u0131mak i\u00e7in yapmas\u0131 gereken i\u015fi g\u00f6sterir.<\/p>\n<p> K\u00fctlesine bak\u0131lmaks\u0131z\u0131n t\u00fcm cisimlerin bir \u00e7ekim alan\u0131 olu\u015fturdu\u011funu unutmay\u0131n. Bu nedenle t\u00fcm cisimler ayn\u0131 zamanda bir \u00e7ekim potansiyeli de \u00fcretir. Bununla birlikte, geri kalan\u0131 neredeyse s\u0131f\u0131r oldu\u011fundan, yaln\u0131zca gezegenler gibi yeterince b\u00fcy\u00fck k\u00fctlelerin \u00e7ekim alanlar\u0131 dikkate al\u0131n\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-potencial-gravitatorio\"><\/span> Yer\u00e7ekimi potansiyeli form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir noktadaki noktasal k\u00fctlenin yaratt\u0131\u011f\u0131 yer \u00e7ekimi potansiyeli, evrensel yer \u00e7ekimi sabitinin \u00e7arp\u0131m\u0131ndan bu k\u00fctlenin nokta k\u00fctlesi ile yer \u00e7ekimi potansiyelinin hesapland\u0131\u011f\u0131 nokta aras\u0131ndaki mesafeye b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> Ba\u015fka bir deyi\u015fle <strong>yer\u00e7ekimi potansiyelinin form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/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-96c4ce259ef29fec7d7c42d7c67f57cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V=-\\cfrac{G\\cdot M}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/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:8px\"><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-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> birimi J\/kg olan yer\u00e7ekimi potansiyelidir. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><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-1e40206e25474f738eeb7ca968031abf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"G\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> de\u011feri evrensel yer\u00e7ekimi sabitidir<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9d75ef18969b22581b72ad88a7def60c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6,674\\cdot 10^{-11} \\ N\\cdot m^2\/kg^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<p> . <\/span><\/li>\n<li style=\"margin-bottom:8px\"><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-27d6692c77760dc1111628e74a6d272f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"M\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p> yer\u00e7ekimi alan\u0131n\u0131 yaratan v\u00fccudun kilogram cinsinden ifade edilen k\u00fctlesidir.<\/span><\/li>\n<li><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-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> yer\u00e7ekimi alan\u0131n\u0131 olu\u015fturan cisim ile ilgilenilen nokta aras\u0131ndaki metre cinsinden ifade edilen mesafedir.<\/span><\/li>\n<\/ul>\n<p> Ek olarak, yer\u00e7ekimi potansiyeli <strong>s\u00fcperpozisyon ilkesini<\/strong> kar\u015f\u0131lar; bu, yer\u00e7ekimi alan\u0131n\u0131 olu\u015fturan birden fazla k\u00fctle varsa, bir noktadaki yer\u00e7ekimi potansiyelinin o noktadaki t\u00fcm k\u00fctlelerin yer\u00e7ekimi potansiyellerinin toplam\u0131 oldu\u011fu anlam\u0131na gelir. <\/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-5df3dc8c4cb5495099377cfe98118af4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle V_T=\\sum _{i=1}^n V_i=V_1+V_2+V_3+\\dots+ V_n\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"292\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-del-potencial-gravitatorio\"><\/span> Yer\u00e7ekimi potansiyelinin hesaplanmas\u0131na \u00f6rnek<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yer\u00e7ekimi potansiyelinin tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fc g\u00f6rd\u00fckten sonra, bu b\u00f6l\u00fcmde bu fiziksel miktar\u0131n hesaplanmas\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f bir \u00f6rne\u011fi g\u00f6rebilirsiniz.<\/p>\n<ul>\n<li> 8\u00b710\u00b7 <sup>20<\/sup> kg&#8217;l\u0131k bir nokta k\u00fctlenin, 6,5\u00b710\u00b7 <sup>7<\/sup> m uzakl\u0131kta bulunan bir noktada olu\u015fturdu\u011fu \u00e7ekim potansiyeli nedir?<\/li>\n<\/ul>\n<p> Yer\u00e7ekimi potansiyelini belirlemek i\u00e7in yukar\u0131da g\u00f6rd\u00fc\u011f\u00fcm\u00fcz form\u00fcl\u00fc kullanmam\u0131z gerekir:<\/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-96c4ce259ef29fec7d7c42d7c67f57cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V=-\\cfrac{G\\cdot M}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u015eimdi verileri form\u00fclde yerine koyuyoruz ve yer\u00e7ekimi potansiyelini 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-7f0cf9c9a7f9cb1177d603420f0e147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V=-\\cfrac{6,674\\cdot 10^{-11} \\cdot 8\\cdot 10^{20}}{6,5\\cdot 10^7}=-821,42 \\ J\/kg [\/ latex]\n\n<h2 class=&quot;wp-block-heading&quot;><span class=&quot;ez-toc-section&quot; id=&quot;Superficie-equipotencial&quot;><\/span> surface \u00e9quipotentielle<span class=&quot;ez-toc-section-end&quot;><\/span><\/h2>\n<p> Une <strong>surface \u00e9quipotentielle<\/strong> est constitu\u00e9e de tous les points de l&#8217;espace qui ont le m\u00eame potentiel gravitationnel. Dans l&#8217;image suivante, vous pouvez voir plusieurs surfaces \u00e9quipotentielles repr\u00e9sent\u00e9es. Chaque cercle correspond \u00e0 un potentiel gravitationnel diff\u00e9rent et constitue donc une surface \u00e9quipotentielle. <\/p>\n<figure class=&quot;wp-block-image aligncenter size-full is-resized&quot;><img decoding=&quot;async&quot; loading=&quot;lazy&quot; src=&quot;https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/potentiel-gravitationnel-de-surface-equipotentiel.png&quot; alt=&quot;surface \u00e9quipotentielle&quot; class=&quot;wp-image-3985&quot; width=&quot;290&quot; height=&quot;318&quot; srcset=&quot;https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/potentiel-gravitationnel-de-surface-equipotentiel-273x300.png 273w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/potentiel-gravitationnel-de-surface-equipotentiel.png 543w&quot; sizes=&quot;(max-width: 273px) 100vw, 273px&quot;><\/figure>\n<p> Notez que plus le point du champ gravitationnel est \u00e9loign\u00e9 du centre du corps qui cr\u00e9e le champ, plus le potentiel gravitationnel est grand. De plus, chaque point ne peut appartenir qu&#8217;\u00e0 une seule surface \u00e9quipotentielle, puisque le potentiel gravitationnel en un point a une seule valeur. <\/p>\n<h2 class=&quot;wp-block-heading&quot;><span class=&quot;ez-toc-section&quot; id=&quot;Potencial-gravitatorio-y-energia-potencial-gravitatoria&quot;><\/span> Potentiel gravitationnel et \u00e9nergie potentielle gravitationnelle<span class=&quot;ez-toc-section-end&quot;><\/span><\/h2>\n<p> <strong>L&#8217;\u00e9nergie potentielle gravitationnelle<\/strong> est l&#8217;\u00e9nergie potentielle qu&#8217;un corps acquiert lorsqu&#8217;il est plac\u00e9 en un point dans un champ gravitationnel. Ainsi, l&#8217;\u00e9nergie potentielle gravitationnelle peut \u00eatre calcul\u00e9e \u00e0 partir du potentiel gravitationnel, puisqu&#8217;ils sont li\u00e9s par la formule suivante : [latex]V=\\cfrac{E_p}{m}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;589&#8243; width=&#8221;2122&#8243; style=&#8221;vertical-align: -12px;&#8221;><\/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:8px\"><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-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> birimi J\/kg olan bir noktadaki \u00e7ekim potansiyelidir. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><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-09b2ab0fbfe1c76e7f3bf527fc17889c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> joule cinsinden ifade edilen, bir noktadaki \u00e7ekim potansiyel enerjisidir.<\/span><\/li>\n<li><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-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> Yer\u00e7ekimi alan\u0131na yerle\u015ftirilen ve \u00fczerine yer\u00e7ekimi kuvvetinin etki etti\u011fi cismin kilogram cinsinden ifade edilen k\u00fctlesidir.<\/span><\/li>\n<\/ul>\n<p> Dolay\u0131s\u0131yla bir noktadaki \u00e7ekim potansiyeli ayn\u0131 zamanda bir cismin kendisini \u00e7ekim alan\u0131nda o noktaya yerle\u015ftirerek elde etti\u011fi birim madde ba\u015f\u0131na potansiyel enerji olarak da tan\u0131mlanabilir. <\/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\/yercekimi-potansiyel-enerjisi\/\">yer\u00e7ekimi potansiyel enerjisinin form\u00fcl\u00fc<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale fizikte yer\u00e7ekimi potansiyelinin ne oldu\u011funu a\u00e7\u0131kl\u0131yor. Benzer \u015fekilde, yer\u00e7ekimi potansiyelinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131, yer\u00e7ekimi potansiyelinin \u00e7\u00f6z\u00fclm\u00fc\u015f bir egzersizini ve e\u015f potansiyel bir y\u00fczeyin nelerden olu\u015ftu\u011funu ke\u015ffedeceksiniz. Yer\u00e7ekimi potansiyeli nedir? Fizikte, yer\u00e7ekimi potansiyeli (veya yer\u00e7ekimi potansiyeli ), yer\u00e7ekimi alan\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131lan bir niceliktir. Daha do\u011frusu, bir noktadaki \u00e7ekim potansiyelinin de\u011feri, bir kuvvetin bir cismi &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/yer-cekimsel-potansiyel\/\"> <span class=\"screen-reader-text\">Yer \u00e7ekimsel potansiyel<\/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":[5],"tags":[],"class_list":["post-240","post","type-post","status-publish","format-standard","hentry","category-dinamik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Yer\u00e7ekimi potansiyeli nedir? 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