{"id":243,"date":"2023-06-23T11:17:07","date_gmt":"2023-06-23T11:17:07","guid":{"rendered":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/"},"modified":"2023-06-23T11:17:07","modified_gmt":"2023-06-23T11:17:07","slug":"elastik-potansiyel-enerji","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/","title":{"rendered":"Elastik potansiyel enerji"},"content":{"rendered":"<p>Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f \u00e7e\u015fitli al\u0131\u015ft\u0131rmalar\u0131 \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-energia-potencial-elastica\"><\/span> Esneklik potansiyel enerjisi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Elastik potansiyel enerji<\/strong> veya basit\u00e7e <strong>elastik enerji<\/strong> , elastik bir kuvvetin yapt\u0131\u011f\u0131 i\u015f nedeniyle deforme olabilen bir g\u00f6vdenin i\u00e7inde biriken enerjidir.<\/p>\n<p> Yani elastik potansiyel enerji, elastik kuvvetle (veya toparlanma kuvvetiyle) ili\u015fkili bir t\u00fcr potansiyel enerjidir.<\/p>\n<p> \u00d6rne\u011fin bir yay s\u0131k\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda veya uzat\u0131ld\u0131\u011f\u0131nda esneklik potansiyel enerjisi depolan\u0131r. Asl\u0131nda fizikte yay problemleri s\u0131kl\u0131kla elastik potansiyel enerji kavram\u0131n\u0131 \u00f6\u011frenmek i\u00e7in \u00e7\u00f6z\u00fcl\u00fcr. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-energia-potencial-elastica\"><\/span> Elastik potansiyel enerji form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir yay\u0131n esneklik potansiyel enerjisi, yay\u0131n esneklik sabitinin yar\u0131s\u0131 ile yay\u0131n yer de\u011fi\u015ftirmesinin karesinin \u00e7arp\u0131m\u0131na e\u015fittir.<\/p>\n<p> Bu nedenle <strong>esneklik potansiyel enerjisinin form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir: <\/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\/energie-potentielle-elastique.png\" alt=\"elastik potansiyel enerji\" class=\"wp-image-4110\" width=\"289\" height=\"289\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-300x300.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique.png 525w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\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-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> birimi Uluslararas\u0131 Sistemde joule (J) olan elastik potansiyel enerjidir. <\/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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> birimi N\/m olan yay\u0131n elastik sabitidir.<\/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-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> metre cinsinden ifade edilen denge konumuna olan mesafedir. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Energia-potencial-elastica-y-trabajo\"><\/span> Elastik potansiyel enerji ve i\u015f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Elastik kuvvetin yapt\u0131\u011f\u0131 i\u015f <a href=\"https:\/\/physigeek.com\/tr\/hooke-yasasi\/\">, Hooke yasas\u0131yla<\/a> tan\u0131mlanan elastik kuvvet form\u00fcl\u00fcn\u00fcn yar\u0131s\u0131n\u0131n yap\u0131lan yer de\u011fi\u015ftirmeyle \u00e7arp\u0131lmas\u0131yla hesaplan\u0131r. Dolay\u0131s\u0131yla elastik bir kuvvetin i\u015fi a\u015fa\u011f\u0131daki \u00fc\u00e7genin alan\u0131na e\u015fde\u011ferdir: <\/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\/force-elasticite-travail.png\" alt=\"elastik potansiyel enerji ve i\u015f\" class=\"wp-image-4115\" width=\"313\" height=\"263\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/force-elasticite-travail-300x252.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/force-elasticite-travail.png 454w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Benzer \u015fekilde elastik kuvvetin i\u015fi, elastik potansiyel enerjinin negatif de\u011fi\u015fimine e\u015fittir:<\/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-b9ec4024e50b6145e2b40308562d3245_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"W_p=-\\Delta E_p \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -6px;\"><\/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-0534be0cea1bfe9a5658cafa6a63f09f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"W_p=-\\left(E_{p_{final}}-E_{p_{initial}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"209\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Bununla birlikte, e\u011fer yay denge konumundan ba\u015fl\u0131yorsa, denge konumundaki esneklik potansiyel enerjisi s\u0131f\u0131r oldu\u011fundan (yer de\u011fi\u015ftirme s\u0131f\u0131r oldu\u011fundan) elastik kuvvetin yapt\u0131\u011f\u0131 i\u015f yaln\u0131zca son elastik potansiyel enerjiye e\u015fde\u011ferdir. <\/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-3410e455493de66bceb6b779165edfe0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"W_p=-\\left(E_{p_{final}}-\\cancelto{0}{E_{p_{equilibrium}}}\\right) =-E_{p_{final}}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"334\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Energia-potencial-elastica-y-energia-cinetica\"><\/span> Elastik potansiyel enerji ve kinetik enerji<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir yay s\u0131k\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda veya uzat\u0131l\u0131p serbest b\u0131rak\u0131ld\u0131\u011f\u0131nda yay bir h\u0131z kazan\u0131r. Bu nedenle bir yay elastik potansiyel enerjiye ve kinetik enerjiye sahip olabilir.<\/p>\n<p> Ayr\u0131ca s\u00fcrt\u00fcnmeyi hesaba katmazsak yay\u0131n enerjisi kaybolmaz, d\u00f6n\u00fc\u015f\u00fcr (enerjinin korunumu ilkesi). B\u00f6ylece elastik potansiyel enerji kinetik enerjiye veya kinetik enerjiye d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilir ancak toplam enerji azalmayacakt\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-2aff47ab4f297de9c53f400a9eecd59d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_{p_i}+E_{c_i}=E_{p_f}+E_{c_f}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"173\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Yani esneklik potansiyel enerjisi maksimum oldu\u011funda, yani yay tamamen gerildi\u011finde veya s\u0131k\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda kinetik enerji s\u0131f\u0131r olacakt\u0131r. Ayn\u0131 \u015fekilde kinetik enerji maksimum oldu\u011funda yani yay denge konumundayken esneklik potansiyel enerjisi s\u0131f\u0131r olacakt\u0131r. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-energie-cinetique.png\" alt=\"elastik potansiyel enerji ve kinetik enerji\" class=\"wp-image-4139\" width=\"437\" height=\"525\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-energie-cinetique-250x300.png 250w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-energie-cinetique-852x1024.png 852w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-energie-cinetique-768x923.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique-energie-cinetique.png 920w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\"><\/figure>\n<p> B\u00f6ylece yay s\u00fcrekli olarak maksimum konumdan minimum konuma do\u011fru hareket eder ve b\u00f6ylece sal\u0131n\u0131ml\u0131 bir hareket meydana gelir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-energia-potencial-elastica\"><\/span> Elastik potansiyel enerji ile ilgili \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmalar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> 1. Egzersiz<\/h3>\n<p> Elastik sabiti 125 N\/m olan ve 60 cm&#8217;nin \u00fczerinde s\u0131k\u0131\u015ft\u0131r\u0131lm\u0131\u015f bir yayda depolanan elastik potansiyel enerjiyi hesaplay\u0131n\u0131z. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u00e7\u00f6z\u00fcm\u00fc g\u00f6r<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Bu durumda elastik potansiyel enerjiyi bulmak i\u00e7in ilgili form\u00fcl\u00fc kullanmak yeterlidir:<\/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-d2f4828b6b0f47984aaa21db09088c1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_p=\\cfrac{1}{2}\\cdot k \\cdot x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Daha sonra verileri form\u00fclde yerine koyar\u0131z ve elastik potansiyel enerjiyi hesaplar\u0131z: <\/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-6cb7cefbfa6fb113024875b9a74c0704_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_p=\\cfrac{1}{2}\\cdot 125 \\cdot 0,6^2=22,5 \\ J\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Al\u0131\u015ft\u0131rma 2<\/h3>\n<p> 4 kg&#8217;l\u0131k bir k\u00fctle 240 N\/m&#8217;lik bir yay sabitine ba\u011flanm\u0131\u015ft\u0131r. Yay 35 cm uzat\u0131l\u0131rsa k\u00fctlenin elde edebilece\u011fi maksimum h\u0131z nedir? Ve ne zaman? Egzersiz boyunca s\u00fcrt\u00fcnmeyi ve yay\u0131n k\u00fctlesini ihmal ediyoruz. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u00e7\u00f6z\u00fcm\u00fc g\u00f6r<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Yaz\u0131 boyunca anlat\u0131lan teoride de g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi bir yay\u0131n maksimum kinetik enerjisinin de\u011feri, maksimum esneklik potansiyel enerjisinin de\u011ferine e\u015fittir. \u00d6ncelikle maksimum esneklik potansiyel enerjisini ve oradan da maksimum h\u0131z\u0131 hesaplayaca\u011f\u0131z.<\/p>\n<p class=\"has-text-align-left\"> Yay\u0131n maksimum yer de\u011fi\u015ftirmesinde, yani 35 cm gerildi\u011finde elde edece\u011fi maksimum potansiyel enerji olacakt\u0131r. Bu nedenle bu durumda esneklik potansiyel enerjisini 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-08e679b77dab99372b927bdf9e1ef672_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_{p_{m\\'ax}}=\\cfrac{1}{2}\\cdot k \\cdot x^2=\\cfrac{1}{2}\\cdot 240\\cdot 0,35^2= 14,7\\ J\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"338\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> B\u00f6ylece maksimum kinetik enerjiye ba\u015fka bir noktada, tam da yay\u0131n denge konumundan ge\u00e7ti\u011fi anda ula\u015f\u0131lm\u0131\u015f olacakt\u0131r. Ancak de\u011feri maksimum elastik potansiyel enerjiye e\u015fit olacakt\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-4ef529c89fa2f18832b3326e13fe9b8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_{c_{m\\'ax}}=E_{p_{m\\'ax}}=14,7 \\ J\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"190\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Son olarak ilgili form\u00fcl\u00fc kullanarak bu kinetik enerjiye kar\u015f\u0131l\u0131k gelen h\u0131z\u0131 hesaplamak yeterlidir: <\/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-d2ce3408631a61e46a1805d12f3ec1d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E_{c_{m\\'ax}}=\\cfrac{1}{2}\\cdot m \\cdot v_{m\\'ax}}^2 \\ \\longrightarrow \\ v_{m\\'ax} } =\\sqrt{\\frac{2\\cdot E_{c_{m\\'ax}}}{m}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"356\" style=\"vertical-align: -14px;\"><\/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-3d39d86532e99274a7b3e8812aec2d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v_{m\\'ax}} =\\sqrt{\\frac{2\\cdot E_{c_{m\\'ax}}}{m}}=\\sqrt{\\frac{2\\cdot 14, 7}{4}}=2,71 \\ \\frac{m}{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"332\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> K\u0131saca k\u00fctlenin elde edece\u011fi maksimum h\u0131z 2,71 m\/s olacak ve denge konumundan her ge\u00e7ti\u011finde bu h\u0131za ula\u015facakt\u0131r.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Al\u0131\u015ft\u0131rma 3<\/h3>\n<p> Tavana sabitlenmi\u015f bir yaya m=2 kg&#8217;l\u0131k bir k\u00fctle as\u0131yoruz. Yay hemen yerden h=3 m y\u00fckseklikte yeni bir denge konumu elde edilinceye kadar \u0394X=50 cm gerilmektedir. Depolanan toplam potansiyel enerji nedir? Veriler: k=40 N\/m; g = 10 m\/s. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-energie-resolue-potentiel-elastique-ressort-ressort.png\" alt=\"elastik g\u00fc\u00e7 enerjisi problemini \u00e7\u00f6zd\u00fc\" class=\"wp-image-4142\" width=\"133\" height=\"489\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-energie-resolue-potentiel-elastique-ressort-ressort-82x300.png 82w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-energie-resolue-potentiel-elastique-ressort-ressort-279x1024.png 279w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-energie-resolue-potentiel-elastique-ressort-ressort.png 358w\" sizes=\"auto, (max-width: 82px) 100vw, 82px\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u00e7\u00f6z\u00fcm\u00fc g\u00f6r<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Toplam esneklik potansiyel enerjisi, yay\u0131n esneklik potansiyel enerjisi ile k\u00fctlenin \u00e7ekim potansiyel enerjisinin toplam\u0131 olacakt\u0131r.<\/p>\n<p class=\"has-text-align-left\"> Bu nedenle \u00f6ncelikle makalede a\u00e7\u0131klanan form\u00fcl\u00fc uygulayarak esneklik potansiyel enerjisini hesapl\u0131yoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7f1c525a7629730f7f6094e12ac7bb1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_{p_{el\\'astica}}=\\cfrac{1}{2}\\cdot k \\cdot x^2=\\cfrac{1}{2}\\cdot 40\\cdot 0.5^2= 5 \\ J\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Daha sonra, ilgili form\u00fcl\u00fc kullanarak yer\u00e7ekimi potansiyel enerjisini 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-f16585ff1c7650cc38f0e69fa53e6034_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_{p_{hauteur}}=m\\cdot g \\cdot h =2 \\cdot 10 \\cdot 3 =60 \\ J\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"294\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Toplam potansiyel enerji bu nedenle hesaplanan iki potansiyel enerjinin toplam\u0131d\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-a60ec0c6fe0591fb20033ec30a2a4ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_{p_{Total}}=E_{p_{el\\'astica}}+E_{p_{hauteur}}=5+60=65 \\ J\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"358\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f \u00e7e\u015fitli al\u0131\u015ft\u0131rmalar\u0131 \u00f6\u011freneceksiniz. Esneklik potansiyel enerjisi nedir? Elastik potansiyel enerji veya basit\u00e7e elastik enerji , elastik bir kuvvetin yapt\u0131\u011f\u0131 i\u015f nedeniyle deforme olabilen bir g\u00f6vdenin i\u00e7inde biriken enerjidir. Yani elastik potansiyel enerji, elastik kuvvetle (veya toparlanma kuvvetiyle) ili\u015fkili &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\"> <span class=\"screen-reader-text\">Elastik potansiyel enerji<\/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-243","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 Elastik potansiyel enerji - M\u00fchendislik<\/title>\n<meta name=\"description\" content=\"Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak birka\u00e7 ad\u0131m \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Elastik potansiyel enerji - M\u00fchendislik\" \/>\n<meta property=\"og:description\" content=\"Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak birka\u00e7 ad\u0131m \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-23T11:17:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique.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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\"},\"author\":{\"name\":\"Jonathan Reynolds\",\"@id\":\"https:\/\/physigeek.com\/tr\/#\/schema\/person\/b49369b8bed2d27dbd13757330e431a5\"},\"headline\":\"Elastik potansiyel enerji\",\"datePublished\":\"2023-06-23T11:17:07+00:00\",\"dateModified\":\"2023-06-23T11:17:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\"},\"wordCount\":804,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/physigeek.com\/tr\/#organization\"},\"articleSection\":[\"Dinamik\"],\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\",\"url\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\",\"name\":\"\u25b7 Elastik potansiyel enerji - M\u00fchendislik\",\"isPartOf\":{\"@id\":\"https:\/\/physigeek.com\/tr\/#website\"},\"datePublished\":\"2023-06-23T11:17:07+00:00\",\"dateModified\":\"2023-06-23T11:17:07+00:00\",\"description\":\"Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak birka\u00e7 ad\u0131m \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz \u2705\",\"breadcrumb\":{\"@id\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/physigeek.com\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Elastik potansiyel enerji\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/physigeek.com\/tr\/#website\",\"url\":\"https:\/\/physigeek.com\/tr\/\",\"name\":\"Physigeek\",\"description\":\"Fizi\u011fi kolay yoldan \u00f6\u011frenin!\",\"publisher\":{\"@id\":\"https:\/\/physigeek.com\/tr\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/physigeek.com\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/physigeek.com\/tr\/#organization\",\"name\":\"Physigeek\",\"url\":\"https:\/\/physigeek.com\/tr\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/physigeek.com\/tr\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/physigeek-logos.png\",\"contentUrl\":\"https:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/physigeek-logos.png\",\"width\":180,\"height\":42,\"caption\":\"Physigeek\"},\"image\":{\"@id\":\"https:\/\/physigeek.com\/tr\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/physigeek.com\/tr\/#\/schema\/person\/b49369b8bed2d27dbd13757330e431a5\",\"name\":\"Jonathan Reynolds\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/physigeek.com\/tr\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg\",\"contentUrl\":\"http:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg\",\"caption\":\"Jonathan Reynolds\"},\"sameAs\":[\"http:\/\/physigeek.com\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Elastik potansiyel enerji - M\u00fchendislik","description":"Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak birka\u00e7 ad\u0131m \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz \u2705","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Elastik potansiyel enerji - M\u00fchendislik","og_description":"Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak birka\u00e7 ad\u0131m \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz \u2705","og_url":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/","article_published_time":"2023-06-23T11:17:07+00:00","og_image":[{"url":"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/energie-potentielle-elastique.png"}],"author":"Jonathan Reynolds","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Jonathan Reynolds","Tahmini okuma s\u00fcresi":"4 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#article","isPartOf":{"@id":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/"},"author":{"name":"Jonathan Reynolds","@id":"https:\/\/physigeek.com\/tr\/#\/schema\/person\/b49369b8bed2d27dbd13757330e431a5"},"headline":"Elastik potansiyel enerji","datePublished":"2023-06-23T11:17:07+00:00","dateModified":"2023-06-23T11:17:07+00:00","mainEntityOfPage":{"@id":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/"},"wordCount":804,"commentCount":0,"publisher":{"@id":"https:\/\/physigeek.com\/tr\/#organization"},"articleSection":["Dinamik"],"inLanguage":"tr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/","url":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/","name":"\u25b7 Elastik potansiyel enerji - M\u00fchendislik","isPartOf":{"@id":"https:\/\/physigeek.com\/tr\/#website"},"datePublished":"2023-06-23T11:17:07+00:00","dateModified":"2023-06-23T11:17:07+00:00","description":"Bu yaz\u0131da elastik potansiyel enerjinin ne oldu\u011funu, elastik potansiyel enerjinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak birka\u00e7 ad\u0131m \u00e7\u00f6z\u00fcml\u00fc al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz \u2705","breadcrumb":{"@id":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/physigeek.com\/tr\/elastik-potansiyel-enerji\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/physigeek.com\/tr\/"},{"@type":"ListItem","position":2,"name":"Elastik potansiyel enerji"}]},{"@type":"WebSite","@id":"https:\/\/physigeek.com\/tr\/#website","url":"https:\/\/physigeek.com\/tr\/","name":"Physigeek","description":"Fizi\u011fi kolay yoldan \u00f6\u011frenin!","publisher":{"@id":"https:\/\/physigeek.com\/tr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/physigeek.com\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Organization","@id":"https:\/\/physigeek.com\/tr\/#organization","name":"Physigeek","url":"https:\/\/physigeek.com\/tr\/","logo":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/physigeek.com\/tr\/#\/schema\/logo\/image\/","url":"https:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/physigeek-logos.png","contentUrl":"https:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/physigeek-logos.png","width":180,"height":42,"caption":"Physigeek"},"image":{"@id":"https:\/\/physigeek.com\/tr\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/physigeek.com\/tr\/#\/schema\/person\/b49369b8bed2d27dbd13757330e431a5","name":"Jonathan Reynolds","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/physigeek.com\/tr\/#\/schema\/person\/image\/","url":"http:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg","contentUrl":"http:\/\/physigeek.com\/tr\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg","caption":"Jonathan Reynolds"},"sameAs":["http:\/\/physigeek.com\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/posts\/243","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/comments?post=243"}],"version-history":[{"count":0,"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/posts\/243\/revisions"}],"wp:attachment":[{"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/media?parent=243"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/categories?post=243"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physigeek.com\/tr\/wp-json\/wp\/v2\/tags?post=243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}