{"id":228,"date":"2026-10-03T12:57:52","date_gmt":"2026-10-03T11:57:52","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/enerji-korunumu-hesaplayici\/"},"modified":"2026-10-03T12:57:52","modified_gmt":"2026-10-03T11:57:52","slug":"enerji-korunumu-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/fizik\/enerji-korunumu-hesaplayici\/","title":{"rendered":"Enerji Korunumu Hesaplay\u0131c\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Toplam Mekanik Enerjiyi Hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"228\" data-favorite-title=\"Enerji Korunumu\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/fizik\/enerji-korunumu-hesaplayici\/\" data-favorite-excerpt=\"Bu hesaplay\u0131c\u0131, mekanik enerjinin korunumunu uygulayarak hareket eden bir cismin iki durumunu kar\u015f\u0131la\u015ft\u0131r\u0131r. 1. durumda k\u00fctleyi, y\u00fcksekli\u011fi ve h\u0131z\u0131, 2. durumda ise y\u00fcksekli\u011fi girerek 2. durumdaki h\u0131z\u0131 bulun ve toplam enerjinin korundu\u011funu do\u011frulay\u0131n.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-physic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/fizik\/enerji-korunumu-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-228\" data-post=\"228\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"is-single field\" id=\"input-1\"><span class=\"font-semibold\">Durum 1<\/span><\/div><div class=\"field is-single\" id=\"input-2\"><label for=\"field-2\">K\u00fctle (m)<\/label><div class=\"field-group\"><input type=\"number\" name=\"ktle_m\" id=\"field-2\" step=\"any\" value=\"5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"birim\" aria-label=\"Birim\"><option value=\"kg\">kg<\/option><option value=\"g\">g<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-3\"><label for=\"field-4\">Y\u00fckseklik 1 (h\u2081)<\/label><div class=\"field-group\"><input type=\"number\" name=\"ykseklik_1_h\" id=\"field-4\" step=\"any\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\">m<\/option><option value=\"cm\">cm<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-4\"><label for=\"field-6\">H\u0131z 1 (v\u2081)<\/label><div class=\"field-group\"><input type=\"number\" name=\"hz_1_v\" id=\"field-6\" step=\"any\" value=\"0\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\/s\">m\/s<\/option><option value=\"km\/h\">km\/h<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"is-single field\" id=\"input-5\"><span class=\"font-semibold\">Durum 2<\/span><\/div><div class=\"field is-single\" id=\"input-6\"><label for=\"field-9\">Y\u00fckseklik 2 (h\u2082)<\/label><div class=\"field-group\"><input type=\"number\" name=\"ykseklik_2_h\" id=\"field-9\" step=\"any\" value=\"0\"\/><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\">m<\/option><option value=\"cm\">cm<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-7\" hidden><label for=\"field-11\">H\u0131z 2 (v\u2082)<\/label><div class=\"field-group\"><input type=\"number\" name=\"hz_2_v\" id=\"field-11\" step=\"any\" value=\"14\"\/><div class=\"grid grid-cols-1\"><select id=\"field-12\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\/s\">m\/s<\/option><option value=\"km\/h\">km\/h<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single\" id=\"input-8\"><label for=\"field-13\">Yer\u00e7ekimi \u0130vmesi (g)<\/label><input type=\"number\" name=\"yerekimi_vmesi_g\" id=\"field-13\" aria-describedby=\"calc-unit-13\" step=\"any\" value=\"9.81\"\/><div class=\"unit\" id=\"calc-unit-13\">m\/s\u00b2<\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"228\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Toplam Enerji (Durum 1)<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Durum 2&#039;deki H\u0131z (v\u2082)<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Toplam Enerji (Durum 2)<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"228\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Enerji Korunumu Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ E_1 = E_2 \\quad\\Longleftrightarrow\\quad \\tfrac{1}{2}mv_1^2 + mgh_1 = \\tfrac{1}{2}mv_2^2 + mgh_2 \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(m\\) \u2014 cismin k\u00fctlesi (kg)<\/li>\n<li>\\(v_1\\), \\(v_2\\) \u2014 cismin 1. ve 2. durumdaki h\u0131z\u0131 (m\/s)<\/li>\n<li>\\(h_1\\), \\(h_2\\) \u2014 cismin 1. ve 2. durumdaki y\u00fcksekli\u011fi (m)<\/li>\n<li>\\(g\\) \u2014 yer\u00e7ekimi ivmesi (D\u00fcnya'da 9,81 m\/s\\(^2\\))<\/li>\n<li>\\(KE = \\tfrac{1}{2}mv^2\\) \u2014 kinetik enerji (J)<\/li>\n<li>\\(PE = mgh\\) \u2014 yer\u00e7ekimi potansiyel enerjisi (J)<\/li>\n<\/ul>\n<p>Bu denklem, bir cismin s\u00fcrt\u00fcnme veya hava direnci olmadan hareket etti\u011finde toplam mekanik enerjinin \\(E = KE + PE\\) sabit kald\u0131\u011f\u0131n\u0131 belirtir: serbest d\u00fc\u015f\u00fc\u015f s\u0131ras\u0131nda kaybedilen potansiyel enerji kinetik enerji olarak yeniden ortaya \u00e7\u0131kar ve bunun tersi de ge\u00e7erlidir.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Enerji Korunumu \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 5 kg k\u00fctleli bir cisim, 10 m y\u00fckseklikten serbest b\u0131rak\u0131l\u0131yor ve yere serbest\u00e7e d\u00fc\u015f\u00fcyor (\\(h_2 = 0\\)). \u00c7arpma an\u0131ndan hemen \u00f6nceki h\u0131z\u0131n\u0131 bulun.<\/p>\n<p>\\[ m = 5\\ \\text{kg},\\quad h_1 = 10\\ \\text{m},\\quad v_1 = 0\\ \\text{m\/s},\\quad h_2 = 0\\ \\text{m},\\quad g = 9.81\\ \\text{m\/s}^2 \\]<\/p>\n<p>1. durumdaki enerji (\\(v_1 = 0\\) oldu\u011fundan tamamen potansiyel):<\/p>\n<p>\\[ KE_1 = \\tfrac{1}{2}\\cdot 5 \\cdot 0^2 = 0\\ \\text{J},\\qquad PE_1 = 5 \\cdot 9.81 \\cdot 10 = 490.5\\ \\text{J},\\qquad E_1 = 490.5\\ \\text{J} \\]<\/p>\n<p>Korunum denkleminden \\(v_2\\) \u00e7\u00f6z\u00fcl\u00fcrse:<\/p>\n<p>\\[ v_2 = \\sqrt{\\frac{2\\,(E_1 - mgh_2)}{m}} = \\sqrt{\\frac{2 \\cdot (490.5 - 0)}{5}} = \\sqrt{196.2} \\approx 14.007\\ \\text{m\/s} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> her iki durumda da toplam enerji 490,5 J'dir ve cisim yere \\(v_2 \\approx 14.007\\) m\/s h\u0131zla \u00e7arpar (yakla\u015f\u0131k 50,4 km\/h).<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Cismin <strong>K\u00fctlesini (m)<\/strong> girin ve birimi se\u00e7in (kg veya g).<\/li>\n<li><strong>1. Durum<\/strong> alt\u0131nda <strong>1. Y\u00fcksekli\u011fi (h\u2081)<\/strong> ve <strong>1. H\u0131z\u0131 (v\u2081)<\/strong> birimleriyle birlikte doldurun (y\u00fckseklik i\u00e7in m veya cm, h\u0131z i\u00e7in m\/s veya km\/h). 1. durum hareketin ba\u015flang\u0131\u00e7 noktas\u0131d\u0131r.<\/li>\n<li><strong>2. Durum<\/strong> alt\u0131nda <strong>2. Y\u00fcksekli\u011fi (h\u2082)<\/strong> girin \u2014 analiz etmek istedi\u011finiz nokta. <strong>2. H\u0131z\u0131n (v\u2082)<\/strong> birimini de de\u011fi\u015ftirebilirsiniz; de\u011ferini hesaplay\u0131c\u0131 hesaplar ve se\u00e7ti\u011finiz birim yaln\u0131zca sonucun nas\u0131l g\u00f6sterilece\u011fini belirler.<\/li>\n<li><strong>Yer\u00e7ekimi \u0130vmesini (g)<\/strong> kontrol edin. Varsay\u0131lan 9,81 m\/s\\(^2\\) D\u00fcnya i\u00e7in ge\u00e7erlidir; gerekiyorsa Ay (1,62) veya ba\u015fka bir g\u00f6k cismi i\u00e7in de\u011fi\u015ftirin.<\/li>\n<li><strong>Hesapla<\/strong> d\u00fc\u011fmesine bas\u0131n. Hesaplay\u0131c\u0131 1. durumdaki toplam enerjiyi, 2. durumdaki h\u0131z\u0131 ve 2. durumdaki toplam enerjiyi g\u00f6sterir \u2014 iki enerji de\u011feri e\u015fit olmal\u0131d\u0131r; bu, enerjinin korundu\u011funu do\u011frular.<\/li>\n<\/ol>\n<h2>Enerjinin Korunumu Nedir?<\/h2>\n<p>Enerjinin korunumu yasas\u0131, fizi\u011fin en temel ilkelerinden biridir: enerji yoktan var edilemez ve yok edilemez, yaln\u0131zca bir bi\u00e7imden ba\u015fka bir bi\u00e7ime d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilir. Mekanikte en \u00e7ok \u00f6neme sahip iki bi\u00e7im, kinetik enerji \u2014 hareketin enerjisi \u2014 ve bir cismin bir referans d\u00fczeyinin \u00fczerindeki y\u00fcksekli\u011fine ba\u011fl\u0131 olan yer\u00e7ekimi potansiyel enerjisidir. Bunlar\u0131n toplam\u0131 olan mekanik enerji, sistemden enerji uzakla\u015fmad\u0131\u011f\u0131 s\u00fcrece sabit kal\u0131r.<\/p>\n<p>D\u00fc\u015fen bir cisim bu fikri m\u00fckemmel bir \u015fekilde a\u00e7\u0131klar. Y\u00f6r\u00fcngesinin en \u00fcst\u00fcnde yava\u015f hareket eder ve yerden y\u00fcksekte bulunur, dolay\u0131s\u0131yla enerjisinin \u00e7o\u011fu potansiyeldir. D\u00fc\u015ft\u00fck\u00e7e y\u00fckseklik azal\u0131r ve h\u0131z artar: potansiyel enerji tam olarak ayn\u0131 oranda kinetik enerjiye d\u00f6n\u00fc\u015f\u00fcr. \u00c7arpma an\u0131nda, ba\u015flang\u0131\u00e7taki t\u00fcm potansiyel enerji kinetik enerjiye d\u00f6n\u00fc\u015fm\u00fc\u015ft\u00fcr. Bir topu bir rampadan yukar\u0131 yuvarlarsan\u0131z s\u00fcre\u00e7 tersine i\u015fler.<\/p>\n<p>Toplam sabit oldu\u011fu i\u00e7in, yolun ayr\u0131nt\u0131lar\u0131n\u0131 bilmeden herhangi bir y\u00fckseklikteki h\u0131z\u0131 \u00f6ng\u00f6rebilirsiniz. D\u00fcz yukar\u0131 at\u0131lan bir top, s\u00fcrt\u00fcnmesiz bir e\u011friden kayan bir disk ve sallanan bir sarka\u00e7 ayn\u0131 denklemine uyar \u2014 h\u0131z yaln\u0131zca enerji dengesine ba\u011fl\u0131d\u0131r, y\u00f6r\u00fcngenin \u015fekline de\u011fil. Enerjinin korunumunun bu kadar g\u00fc\u00e7l\u00fc bir problem \u00e7\u00f6zme arac\u0131 olmas\u0131n\u0131n nedeni budur: ayr\u0131nt\u0131l\u0131 bir kuvvet analizi yerine iki durumdaki enerjinin basit bir hesab\u0131yla de\u011fi\u015ftirir.<\/p>\n<p>Sonucu yorumlarken, her iki enerjinin de se\u00e7ilen y\u00fckseklik referans\u0131na g\u00f6re \u00f6l\u00e7\u00fcld\u00fc\u011f\u00fcn\u00fc unutmay\u0131n. Hesaplay\u0131c\u0131 \\(h = 0\\) seviyesini potansiyel enerjinin s\u0131f\u0131r oldu\u011fu d\u00fczey olarak kabul eder ve toplam enerji de\u011ferleri yaln\u0131zca ayn\u0131 referansa g\u00f6re anlaml\u0131d\u0131r. \u0130ki durum aras\u0131nda e\u015fit olmas\u0131 gereken \u015fey toplamd\u0131r, kinetik veya potansiyel par\u00e7alar\u0131n her biri de\u011fil.<\/p>\n<h2>Varsay\u0131mlar ve S\u0131n\u0131rlamalar<\/h2>\n<ul>\n<li><strong>S\u00fcrt\u00fcnme veya hava direnci yok.<\/strong> Hesaplay\u0131c\u0131 tamamen koruyucu (konservatif) bir sistem varsayar. S\u00fcr\u00fckleme veya s\u00fcrt\u00fcnme varsa, 2. durumdaki ger\u00e7ek h\u0131z hesaplanan de\u011ferden d\u00fc\u015f\u00fck olur; hava i\u00e7inde d\u00fc\u015f\u00fc\u015f i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/son-hiz-hesaplayici\/\">Limit (Maksimum) H\u0131z Hesaplay\u0131c\u0131<\/a>s\u0131na bak\u0131n.<\/li>\n<li><strong>Kat\u0131 cisim, d\u00f6nme yok.<\/strong> Yaln\u0131zca \u00f6teleme kinetik enerjisi dahil edilmi\u015ftir. Cisim yuvarlan\u0131r veya d\u00f6nerse enerjinin bir k\u0131sm\u0131 d\u00f6nme gider \u2014 bu durumu <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/donme-kinetik-enerjisi-hesaplama\/\">D\u00f6nme (Rotasyonel) Kinetik Enerji Hesaplay\u0131c\u0131<\/a> kapsar.<\/li>\n<li><strong>Sabit yer\u00e7ekimi ivmesi.<\/strong> \\(g\\) de\u011feri her iki y\u00fckseklikte ayn\u0131 kabul edilir; bu, D\u00fcnya y\u00fczeyine yak\u0131n m\u00fckemmel bir yakla\u015f\u0131md\u0131r.<\/li>\n<li><strong>Y\u00fckseklik referans\u0131 keyfidir.<\/strong> \\(h = 0\\) noktas\u0131n\u0131 istedi\u011finiz yere koyabilirsiniz; yaln\u0131zca y\u00fckseklik farklar\u0131 sonucu etkiler. Her iki durum i\u00e7in ayn\u0131 referans\u0131 kullan\u0131n.<\/li>\n<li>Girdi\u011finiz say\u0131lar 2. durumda 1. duruma g\u00f6re daha fazla enerji gerektiriyorsa (\u00f6rne\u011fin, enerji giri\u015fi olmadan hem daha y\u00fcksek konum <em>hem de<\/em> daha y\u00fcksek h\u0131z), karek\u00f6k\u00fcn alt\u0131ndaki terim negatif olur ve fiziksel bir \u00e7\u00f6z\u00fcm yoktur \u2014 girdilerinizi kontrol edin.<\/li>\n<\/ul>\n<h2>Pratik \u0130pu\u00e7lar\u0131<\/h2>\n<ul>\n<li>Saf bir serbest d\u00fc\u015f\u00fc\u015f problemi i\u00e7in \\(v_1 = 0\\) ve \\(h_2 = 0\\) ayarlay\u0131n; cevap o zaman klasik serbest d\u00fc\u015f\u00fc\u015f h\u0131z\u0131 \\(v = \\sqrt{2gh}\\) olur. <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/serbest-dusme-hesaplama\/\">Serbest D\u00fc\u015f\u00fc\u015f Hesaplay\u0131c\u0131<\/a> zamana ba\u011fl\u0131 tam hareketi ele al\u0131r.<\/li>\n<li>At\u0131lan bir cismin ne kadar y\u00fckse\u011fe \u00e7\u0131kaca\u011f\u0131n\u0131 bulmak i\u00e7in 2. durum h\u0131z\u0131n\u0131 s\u0131f\u0131r b\u0131rakarak kavramsal olarak \\(v_2 = 0\\) ayarlay\u0131n \u2014 1. duruma f\u0131rlatma h\u0131z\u0131n\u0131 girin ve t\u00fcm enerjinin potansiyel oldu\u011fu y\u00fcksekli\u011fi \u00e7\u00f6z\u00fcn.<\/li>\n<li>Ayn\u0131 ilke sarka\u00e7 sal\u0131n\u0131mlar\u0131n\u0131 ve lunapark tepeciklerini y\u00f6netir; ilgili hareket problemleri i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/atis-hareketi-hesaplayicisi\/\">At\u0131\u015f Hareketi Hesaplay\u0131c\u0131<\/a> ve <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/basit-sarkac-hesaplayici\/\">Basit Sarka\u00e7 Hesaplay\u0131c\u0131<\/a>y\u0131 deneyin.<\/li>\n<li>Ger\u00e7ek makineler her zaman bir miktar enerjiyi s\u00fcrt\u00fcnmeye ve \u0131s\u0131ya kaybeder. Ne kadar yararl\u0131 enerjinin kald\u0131\u011f\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/mekanik-verim-hesaplama\/\">Mekanik Verim Hesaplay\u0131c\u0131<\/a>y\u0131 kullan\u0131n.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu hesaplay\u0131c\u0131, mekanik enerjinin korunumunu uygulayarak hareket eden bir cismin iki durumunu kar\u015f\u0131la\u015ft\u0131r\u0131r. 1. durumda k\u00fctleyi, y\u00fcksekli\u011fi ve h\u0131z\u0131, 2. durumda ise y\u00fcksekli\u011fi girerek 2. durumdaki h\u0131z\u0131 bulun ve toplam enerjinin korundu\u011funu do\u011frulay\u0131n.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[10],"tags":[55],"class_list":["post-228","post","type-post","status-publish","format-standard","hentry","category-fizik","tag-mekanik"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/228","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=228"}],"version-history":[{"count":6,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/228\/revisions"}],"predecessor-version":[{"id":3210,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/228\/revisions\/3210"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}