{"id":241,"date":"2023-06-23T11:17:07","date_gmt":"2023-06-23T11:17:07","guid":{"rendered":"https:\/\/physigeek.com\/ru\/%d1%83%d0%bf%d1%80%d1%83%d0%b3%d0%b0%d1%8f-%d0%bf%d0%be%d1%82%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%8d%d0%bd%d0%b5%d1%80%d0%b3%d0%b8%d1%8f\/"},"modified":"2023-06-23T11:17:07","modified_gmt":"2023-06-23T11:17:07","slug":"%d1%83%d0%bf%d1%80%d1%83%d0%b3%d0%b0%d1%8f-%d0%bf%d0%be%d1%82%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%8d%d0%bd%d0%b5%d1%80%d0%b3%d0%b8%d1%8f","status":"publish","type":"post","link":"https:\/\/physigeek.com\/ru\/%d1%83%d0%bf%d1%80%d1%83%d0%b3%d0%b0%d1%8f-%d0%bf%d0%be%d1%82%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%8d%d0%bd%d0%b5%d1%80%d0%b3%d0%b8%d1%8f\/","title":{"rendered":"\u0423\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-energia-potencial-elastica\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0423\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f<\/strong> , \u0438\u043b\u0438 \u043f\u0440\u043e\u0441\u0442\u043e <strong>\u0443\u043f\u0440\u0443\u0433\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f<\/strong> , \u2014 \u044d\u0442\u043e \u044d\u043d\u0435\u0440\u0433\u0438\u044f, \u043d\u0430\u043a\u043e\u043f\u043b\u0435\u043d\u043d\u0430\u044f \u0432\u043d\u0443\u0442\u0440\u0438 \u0434\u0435\u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c\u043e\u0433\u043e \u0442\u0435\u043b\u0430 \u0437\u0430 \u0441\u0447\u0435\u0442 \u0440\u0430\u0431\u043e\u0442\u044b, \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0435\u043c\u043e\u0439 \u0441\u0438\u043b\u043e\u0439 \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438.<\/p>\n<p> \u0422\u043e \u0435\u0441\u0442\u044c \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u2014 \u044d\u0442\u043e \u0442\u0438\u043f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438, \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0439 \u0441 \u0441\u0438\u043b\u043e\u0439 \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 (\u0438\u043b\u0438 \u0441\u0438\u043b\u043e\u0439 \u0432\u043e\u0441\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u0438\u044f).<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043a\u043e\u0433\u0434\u0430 \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u0441\u0436\u0438\u043c\u0430\u0435\u0442\u0441\u044f \u0438\u043b\u0438 \u0440\u0430\u0441\u0442\u044f\u0433\u0438\u0432\u0430\u0435\u0442\u0441\u044f, \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u0435\u0442\u0441\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438. \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u0432 \u0444\u0438\u0437\u0438\u043a\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e \u043f\u0440\u0443\u0436\u0438\u043d\u0430\u0445 \u0447\u0430\u0441\u0442\u043e \u0440\u0435\u0448\u0430\u044e\u0442\u0441\u044f, \u0447\u0442\u043e\u0431\u044b \u0438\u0437\u0443\u0447\u0438\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-energia-potencial-elastica\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u043f\u0440\u0443\u0436\u0438\u043d\u044b \u0440\u0430\u0432\u043d\u0430 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0435 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u043e\u0439 \u043f\u0440\u0443\u0436\u0438\u043d\u044b, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u044f \u043f\u0440\u0443\u0436\u0438\u043d\u044b.<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438<\/strong> \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/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=\"\u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f\" 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\"> \u0417\u043e\u043b\u043e\u0442\u043e: <\/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> \u2014 \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f, \u0435\u0434\u0438\u043d\u0438\u0446\u0435\u0439 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0432 \u041c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0436\u043e\u0443\u043b\u044c (\u0414\u0436). <\/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> \u2014 \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u0430\u044f \u043f\u0440\u0443\u0436\u0438\u043d\u044b, \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f \u2014 \u041d\/\u043c.<\/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> \u2014 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u0434\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u043d\u043e\u0435 \u0432 \u043c\u0435\u0442\u0440\u0430\u0445. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Energia-potencial-elastica-y-trabajo\"><\/span> \u0423\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0438 \u0440\u0430\u0431\u043e\u0442\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0420\u0430\u0431\u043e\u0442\u0430, \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0435\u043c\u0430\u044f \u0441\u0438\u043b\u043e\u0439 \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u0443\u0442\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u044b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0441\u0438\u043b\u044b \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 <a href=\"https:\/\/physigeek.com\/ru\/\u0437\u0430\u043a\u043e\u043d-\u0433\u0443\u043a\u0430\/\">\u0437\u0430\u043a\u043e\u043d\u043e\u043c \u0413\u0443\u043a\u0430<\/a> , \u043d\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043d\u043e\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0435\u043d\u0438\u0435. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0440\u0430\u0431\u043e\u0442\u0430 \u0441\u0438\u043b\u044b \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430: <\/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=\"\u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0438 \u0440\u0430\u0431\u043e\u0442\u0430\" 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> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0440\u0430\u0431\u043e\u0442\u0430 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u0441\u0438\u043b\u044b \u0440\u0430\u0432\u043d\u0430 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u044e \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438:<\/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> \u041e\u0434\u043d\u0430\u043a\u043e \u0435\u0441\u043b\u0438 \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u0441\u0442\u0430\u0440\u0442\u0443\u0435\u0442 \u0438\u0437 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f, \u0440\u0430\u0431\u043e\u0442\u0430 \u0441\u0438\u043b\u044b \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u043b\u0438\u0448\u044c \u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438 \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u0432 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0438 \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e (\u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e). <\/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> \u0423\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0438 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u043e\u0433\u0434\u0430 \u043f\u0440\u0443\u0436\u0438\u043d\u0443 \u0441\u0436\u0438\u043c\u0430\u044e\u0442 \u0438\u043b\u0438 \u0443\u0434\u043b\u0438\u043d\u044f\u044e\u0442 \u0438 \u043e\u0442\u043f\u0443\u0441\u043a\u0430\u044e\u0442, \u043e\u043d\u0430 \u043f\u0440\u0438\u043e\u0431\u0440\u0435\u0442\u0430\u0435\u0442 \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0443\u043f\u0440\u0443\u0433\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0438 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e.<\/p>\n<p> \u041f\u0440\u0438 \u044d\u0442\u043e\u043c, \u0435\u0441\u043b\u0438 \u043d\u0435 \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u0442\u0440\u0435\u043d\u0438\u0435, \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u043f\u0440\u0443\u0436\u0438\u043d\u044b \u043d\u0435 \u0442\u0435\u0440\u044f\u0435\u0442\u0441\u044f, \u0430 \u0442\u0440\u0430\u043d\u0441\u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u0442\u0441\u044f (\u043f\u0440\u0438\u043d\u0446\u0438\u043f \u0441\u043e\u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u0438). \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0430 \u0432 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442, \u043d\u043e \u043f\u043e\u043b\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u043d\u0435 \u0443\u043c\u0435\u043d\u044c\u0448\u0438\u0442\u0441\u044f.<\/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> \u0418\u0442\u0430\u043a, \u043a\u043e\u0433\u0434\u0430 \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u043a\u043e\u0433\u0434\u0430 \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0440\u0430\u0441\u0442\u044f\u043d\u0443\u0442\u0430 \u0438\u043b\u0438 \u0441\u0436\u0430\u0442\u0430, \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043a\u043e\u0433\u0434\u0430 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u043a\u043e\u0433\u0434\u0430 \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0438 \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f, \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. <\/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=\"\u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0438 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f\" 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> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u0449\u0430\u0435\u0442\u0441\u044f \u0438\u0437 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0432 \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435, \u0441\u043e\u0437\u0434\u0430\u0432\u0430\u044f \u043a\u043e\u043b\u0435\u0431\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-energia-potencial-elastica\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0443\u043f\u0440\u0443\u0433\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u0437\u0430\u043f\u0430\u0441\u0430\u0435\u043c\u0443\u044e \u0432 \u0441\u0436\u0430\u0442\u043e\u0439 \u043f\u0440\u0443\u0436\u0438\u043d\u0435 \u0434\u043b\u0438\u043d\u043e\u0439 \u0431\u043e\u043b\u0435\u0435 60 \u0441\u043c, \u043f\u043e\u0441\u0442\u043e\u044f\u043d\u043d\u0430\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0432\u043d\u0430 125 \u041d\/\u043c. <\/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>\u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u043b\u044f \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439:<\/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\"> \u0414\u0430\u043b\u0435\u0435 \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0434\u0430\u043d\u043d\u044b\u0435 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0443\u043f\u0440\u0443\u0433\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e: <\/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\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u041c\u0430\u0441\u0441\u0430 4 \u043a\u0433 \u043f\u0440\u0438\u043a\u0440\u0435\u043f\u043b\u0435\u043d\u0430 \u043a \u0436\u0435\u0441\u0442\u043a\u043e\u0441\u0442\u0438 \u043f\u0440\u0443\u0436\u0438\u043d\u044b 240 \u041d\/\u043c. \u041a\u0430\u043a\u0443\u044e \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c \u043f\u0440\u0438\u043e\u0431\u0440\u0435\u0442\u0435\u0442 \u0433\u0440\u0443\u0437, \u0435\u0441\u043b\u0438 \u0440\u0430\u0441\u0442\u044f\u043d\u0443\u0442\u044c \u043f\u0440\u0443\u0436\u0438\u043d\u0443 \u043d\u0430 35 \u0441\u043c? \u0418 \u043a\u043e\u0433\u0434\u0430? \u041d\u0430 \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u0438\u0438 \u0432\u0441\u0435\u0433\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u0435\u043d\u0435\u0431\u0440\u0435\u0433\u0430\u0435\u043c \u0442\u0440\u0435\u043d\u0438\u0435\u043c \u0438 \u043c\u0430\u0441\u0441\u043e\u0439 \u043f\u0440\u0443\u0436\u0438\u043d\u044b. <\/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>\u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u0442\u0435\u043e\u0440\u0438\u0438, \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043d\u043e\u0439 \u043d\u0430 \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u0438\u0438 \u0432\u0441\u0435\u0439 \u0441\u0442\u0430\u0442\u044c\u0438, \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438 \u043f\u0440\u0443\u0436\u0438\u043d\u044b \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u0435\u0435 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438. \u0418\u0442\u0430\u043a, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u0430 \u0437\u0430\u0442\u0435\u043c \u0438 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0443\u044e \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c.<\/p>\n<p class=\"has-text-align-left\"> \u041c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0435\u0442 \u043f\u0440\u0443\u0436\u0438\u043d\u0430, \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u0438 \u0435\u0435 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u043c \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u043a\u043e\u0433\u0434\u0430 \u043e\u043d\u0430 \u0440\u0430\u0441\u0442\u044f\u043d\u0435\u0442\u0441\u044f \u043d\u0430 35 \u0441\u043c. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0443\u043f\u0440\u0443\u0433\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0432 \u044d\u0442\u043e\u0439 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0438:<\/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\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0433\u043d\u0443\u0442\u0430 \u0432 \u0434\u0440\u0443\u0433\u043e\u0439 \u0442\u043e\u0447\u043a\u0435, \u0438\u043c\u0435\u043d\u043d\u043e \u0432 \u0442\u043e\u0442 \u043c\u043e\u043c\u0435\u043d\u0442, \u043a\u043e\u0433\u0434\u0430 \u043f\u0440\u0443\u0436\u0438\u043d\u0430 \u043f\u0440\u043e\u0439\u0434\u0435\u0442 \u0447\u0435\u0440\u0435\u0437 \u0441\u0432\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f. \u041d\u043e \u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0439 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438:<\/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\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c, \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u044d\u0442\u043e\u0439 \u043a\u0438\u043d\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438: <\/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\"> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u043a\u043e\u0440\u043e\u0441\u0442\u044c, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043f\u0440\u0438\u043e\u0431\u0440\u0435\u0442\u0435\u0442 \u043c\u0430\u0441\u0441\u0430, \u0441\u043e\u0441\u0442\u0430\u0432\u0438\u0442 2,71 \u043c\/\u0441 \u0438 \u043e\u043d\u0430 \u0431\u0443\u0434\u0435\u0442 \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0442\u044c \u0435\u0435 \u043a\u0430\u0436\u0434\u044b\u0439 \u0440\u0430\u0437, \u043a\u043e\u0433\u0434\u0430 \u043f\u0440\u043e\u0439\u0434\u0435\u0442 \u0447\u0435\u0440\u0435\u0437 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041f\u043e\u0434\u0432\u0435\u0448\u0438\u0432\u0430\u0435\u043c \u0433\u0440\u0443\u0437 \u043c\u0430\u0441\u0441\u043e\u0439 m=2 \u043a\u0433 \u043a \u043f\u0440\u0443\u0436\u0438\u043d\u0435, \u043f\u0440\u0438\u043a\u0440\u0435\u043f\u043b\u0435\u043d\u043d\u043e\u0439 \u043a \u043f\u043e\u0442\u043e\u043b\u043a\u0443. \u0421\u0440\u0430\u0437\u0443 \u0436\u0435 \u043f\u0440\u0443\u0436\u0438\u043d\u0443 \u0440\u0430\u0441\u0442\u044f\u0433\u0438\u0432\u0430\u044e\u0442 \u043d\u0430 \u0394X=50 \u0441\u043c \u0434\u043e \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u043d\u043e\u0432\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u043e\u0432\u0435\u0441\u0438\u044f \u043d\u0430 \u0432\u044b\u0441\u043e\u0442\u0435 h=3 \u043c \u043e\u0442 \u0437\u0435\u043c\u043b\u0438. \u041a\u0430\u043a\u043e\u0432\u0430 \u043f\u043e\u043b\u043d\u0430\u044f \u0437\u0430\u043f\u0430\u0441\u0435\u043d\u043d\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f? \u0414\u0430\u043d\u043d\u044b\u0435: k=40 \u041d\/\u043c; \u0433 = 10 \u043c\/\u0441. <\/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=\"\u0440\u0435\u0448\u0435\u043d\u0430 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0443\u043f\u0440\u0443\u0433\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438\" 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>\u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u043e\u043b\u043d\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0435 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438 \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438 \u043f\u0440\u0443\u0436\u0438\u043d\u044b \u043f\u043b\u044e\u0441 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u044d\u043d\u0435\u0440\u0433\u0438\u0438 \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0438 \u043c\u0430\u0441\u0441\u044b.<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0443\u043f\u0440\u0443\u0433\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443, \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043d\u0443\u044e \u0432 \u0441\u0442\u0430\u0442\u044c\u0435:<\/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\"> \u0414\u0430\u043b\u0435\u0435 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u043e\u043d\u043d\u0443\u044e \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u043f\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/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\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u043e\u043b\u043d\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0443\u043c\u043c\u0443 \u0434\u0432\u0443\u0445 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043d\u043d\u044b\u0445 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u044d\u043d\u0435\u0440\u0433\u0438\u0439: <\/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>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u044d\u043d\u0435\u0440\u0433\u0438\u044e \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f? \u0423\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f , \u0438\u043b\u0438 \u043f\u0440\u043e\u0441\u0442\u043e \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f , \u2014 \u044d\u0442\u043e \u044d\u043d\u0435\u0440\u0433\u0438\u044f, \u043d\u0430\u043a\u043e\u043f\u043b\u0435\u043d\u043d\u0430\u044f \u0432\u043d\u0443\u0442\u0440\u0438 \u0434\u0435\u0444\u043e\u0440\u043c\u0438\u0440\u0443\u0435\u043c\u043e\u0433\u043e \u0442\u0435\u043b\u0430 \u0437\u0430 \u0441\u0447\u0435\u0442 \u0440\u0430\u0431\u043e\u0442\u044b, \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0435\u043c\u043e\u0439 \u0441\u0438\u043b\u043e\u0439 \u0443\u043f\u0440\u0443\u0433\u043e\u0441\u0442\u0438. \u0422\u043e \u0435\u0441\u0442\u044c \u0443\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/ru\/%d1%83%d0%bf%d1%80%d1%83%d0%b3%d0%b0%d1%8f-%d0%bf%d0%be%d1%82%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%8d%d0%bd%d0%b5%d1%80%d0%b3%d0%b8%d1%8f\/\"> <span class=\"screen-reader-text\">\u0423\u043f\u0440\u0443\u0433\u0430\u044f \u043f\u043e\u0442\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043d\u0435\u0440\u0433\u0438\u044f<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &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-241","post","type-post","status-publish","format-standard","hentry","category-5"],"yoast_head":"<!-- This site is optimized 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