{"id":243,"date":"2023-06-23T11:17:07","date_gmt":"2023-06-23T11:17:07","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e5%bc%b9%e6%80%a7%e5%8a%bf%e8%83%bd\/"},"modified":"2023-06-23T11:17:07","modified_gmt":"2023-06-23T11:17:07","slug":"%e5%bc%b9%e6%80%a7%e5%8a%bf%e8%83%bd","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e5%bc%b9%e6%80%a7%e5%8a%bf%e8%83%bd\/","title":{"rendered":"\u5f39\u6027\u52bf\u80fd"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u5f39\u6027\u52bf\u80fd\u3001\u5982\u4f55\u8ba1\u7b97\u5f39\u6027\u52bf\u80fd\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u51e0\u4e2a\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-energia-potencial-elastica\"><\/span>\u4ec0\u4e48\u662f\u5f39\u6027\u52bf\u80fd\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5f39\u6027\u52bf\u80fd<\/strong>\uff0c\u6216\u7b80\u79f0<strong>\u4e3a\u5f39\u6027\u80fd<\/strong>\uff0c\u662f\u901a\u8fc7\u5f39\u529b\u6240\u505a\u7684\u529f\u5728\u53ef\u53d8\u5f62\u4f53\u5185\u79ef\u7d2f\u7684\u80fd\u91cf\u3002<\/p>\n<p>\u5373\uff0c\u5f39\u6027\u52bf\u80fd\u662f\u4e0e\u5f39\u529b\uff08\u6216\u6062\u590d\u529b\uff09\u76f8\u5173\u7684\u52bf\u80fd\u7684\u4e00\u79cd\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5f53\u5f39\u7c27\u88ab\u538b\u7f29\u6216\u4f38\u957f\u65f6\uff0c\u4f1a\u5b58\u50a8\u5f39\u6027\u52bf\u80fd\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u7ecf\u5e38\u89e3\u51b3\u5f39\u7c27\u95ee\u9898\u6765\u5b66\u4e60\u5f39\u6027\u52bf\u80fd\u7684\u6982\u5ff5\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-energia-potencial-elastica\"><\/span>\u5f39\u6027\u52bf\u80fd\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f39\u7c27\u7684\u5f39\u6027\u52bf\u80fd\u7b49\u4e8e\u5f39\u7c27\u5f39\u6027\u5e38\u6570\u7684\u4e00\u534a\u4e58\u4ee5\u5f39\u7c27\u4f4d\u79fb\u7684\u5e73\u65b9\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u5f39\u6027\u52bf\u80fd\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\u4e3a\uff1a <\/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=\"\u5f39\u6027\u52bf\u80fd\" 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\">\u91d1\u5b50\uff1a <\/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>\u4e3a\u5f39\u6027\u52bf\u80fd\uff0c\u56fd\u9645\u5355\u4f4d\u5236\u4e2d\u7684\u5355\u4f4d\u4e3a\u7126\u8033\uff08J\uff09\u3002 <\/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>\u4e3a\u5f39\u7c27\u7684\u5f39\u6027\u5e38\u6570\uff0c\u5355\u4f4d\u4e3aN\/m\u3002<\/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>\u662f\u5230\u5e73\u8861\u4f4d\u7f6e\u7684\u8ddd\u79bb\uff0c\u4ee5\u7c73\u8868\u793a\u3002 <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Energia-potencial-elastica-y-trabajo\"><\/span>\u5f39\u6027\u52bf\u80fd\u548c\u529f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f39\u529b\u6240\u505a\u7684\u529f\u662f\u901a\u8fc7\u5c06\u7531<a href=\"https:\/\/physigeek.com\/cn\/\u80e1\u514b\u5b9a\u5f8b\/\">\u80e1\u514b\u5b9a\u5f8b<\/a>\u5b9a\u4e49\u7684\u5f39\u529b\u516c\u5f0f\u7684\u4e00\u534a\u4e58\u4ee5\u6240\u6267\u884c\u7684\u4f4d\u79fb\u6765\u8ba1\u7b97\u7684\u3002\u56e0\u6b64\uff0c\u5f39\u529b\u7684\u529f\u76f8\u5f53\u4e8e\u4ee5\u4e0b\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff1a <\/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=\"\u5f39\u6027\u52bf\u80fd\u548c\u529f\" 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>\u540c\u6837\uff0c\u5f39\u529b\u7684\u529f\u7b49\u4e8e\u5f39\u6027\u52bf\u80fd\u7684\u8d1f\u53d8\u5316\uff1a<\/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>\u7136\u800c\uff0c\u5982\u679c\u5f39\u7c27\u4ece\u5e73\u8861\u4f4d\u7f6e\u5f00\u59cb\uff0c\u5f39\u529b\u7684\u529f\u4ec5\u76f8\u5f53\u4e8e\u6700\u7ec8\u7684\u5f39\u6027\u52bf\u80fd\uff0c\u56e0\u4e3a\u5e73\u8861\u4f4d\u7f6e\u7684\u5f39\u6027\u52bf\u80fd\u4e3a\u96f6\uff08\u4f4d\u79fb\u4e3a\u96f6\uff09\u3002 <\/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>\u5f39\u6027\u52bf\u80fd\u548c\u52a8\u80fd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f53\u5f39\u7c27\u88ab\u538b\u7f29\u6216\u4f38\u957f\u5e76\u91ca\u653e\u65f6\uff0c\u5f39\u7c27\u83b7\u5f97\u901f\u5ea6\u3002\u56e0\u6b64\uff0c\u5f39\u7c27\u53ef\u4ee5\u5177\u6709\u5f39\u6027\u52bf\u80fd\u548c\u52a8\u80fd\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u5982\u679c\u6211\u4eec\u4e0d\u8003\u8651\u6469\u64e6\u529b\uff0c\u5f39\u7c27\u7684\u80fd\u91cf\u4e0d\u4f1a\u635f\u5931\u800c\u662f\u4f1a\u8f6c\u5316\uff08\u80fd\u91cf\u5b88\u6052\u539f\u7406\uff09\u3002\u8fd9\u6837\uff0c\u5f39\u6027\u52bf\u80fd\u53ef\u4ee5\u8f6c\u5316\u4e3a\u52a8\u80fd\uff0c\u53cd\u4e4b\u4ea6\u7136\uff0c\u4f46\u603b\u80fd\u91cf\u4e0d\u4f1a\u51cf\u5c11\u3002<\/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>\u6240\u4ee5\uff0c\u5f53\u5f39\u6027\u52bf\u80fd\u6700\u5927\u65f6\uff0c\u5373\u5f39\u7c27\u5b8c\u5168\u62c9\u4f38\u6216\u538b\u7f29\u65f6\uff0c\u52a8\u80fd\u4e3a\u96f6\u3002\u540c\u6837\uff0c\u5f53\u52a8\u80fd\u6700\u5927\u65f6\uff0c\u5373\u5f39\u7c27\u5904\u4e8e\u5e73\u8861\u4f4d\u7f6e\u65f6\uff0c\u5f39\u6027\u52bf\u80fd\u4e3a\u96f6\u3002 <\/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=\"\u5f39\u6027\u52bf\u80fd\u548c\u52a8\u80fd\" 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>\u8fd9\u6837\uff0c\u5f39\u7c27\u5c31\u8fde\u7eed\u5730\u4ece\u6700\u5927\u4f4d\u7f6e\u8fd0\u52a8\u5230\u6700\u5c0f\u4f4d\u7f6e\uff0c\u4ece\u800c\u4ea7\u751f\u632f\u8361\u8fd0\u52a8\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-energia-potencial-elastica\"><\/span>\u5f39\u6027\u52bf\u80fd\u7ec3\u4e60\u9898\u89e3\u7b54<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u8ba1\u7b97\u5f39\u6027\u5e38\u6570\u4e3a 125 N\/m \u7684\u538b\u7f29\u8d85\u8fc7 60 cm \u7684\u5f39\u7c27\u4e2d\u5b58\u50a8\u7684\u5f39\u6027\u52bf\u80fd\u3002 <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8981\u6c42\u5f39\u6027\u52bf\u80fd\uff0c\u4f7f\u7528\u76f8\u5e94\u7684\u516c\u5f0f\u5c31\u8db3\u591f\u4e86\uff0c\u5373\uff1a<\/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\"> \u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u6570\u636e\u4ee3\u5165\u516c\u5f0f\uff0c\u8ba1\u7b97\u5f39\u6027\u52bf\u80fd\uff1a <\/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\">\u7ec3\u4e602<\/h3>\n<p> 4 kg \u7684\u8d28\u91cf\u9644\u52a0\u5230 240 N\/m \u7684\u5f39\u7c27\u5e38\u6570\u3002\u5982\u679c\u5f39\u7c27\u62c9\u4f38 35 \u5398\u7c73\uff0c\u8d28\u91cf\u83b7\u5f97\u7684\u6700\u5927\u901f\u5ea6\u662f\u591a\u5c11\uff1f\u4ec0\u4e48\u65f6\u5019\uff1f\u5728\u6574\u4e2a\u7ec3\u4e60\u4e2d\u6211\u4eec\u5ffd\u7565\u4e86\u5f39\u7c27\u7684\u6469\u64e6\u529b\u548c\u8d28\u91cf\u3002 <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6b63\u5982\u6211\u4eec\u5728\u6574\u7bc7\u6587\u7ae0\u6240\u89e3\u91ca\u7684\u7406\u8bba\u4e2d\u6240\u770b\u5230\u7684\uff0c\u5f39\u7c27\u7684\u6700\u5927\u52a8\u80fd\u503c\u7b49\u4e8e\u5176\u6700\u5927\u5f39\u6027\u52bf\u80fd\u503c\u3002\u56e0\u6b64\uff0c\u9996\u5148\u6211\u4eec\u5c06\u8ba1\u7b97\u6700\u5927\u5f39\u6027\u52bf\u80fd\uff0c\u7136\u540e\u8ba1\u7b97\u6700\u5927\u901f\u5ea6\u3002<\/p>\n<p class=\"has-text-align-left\">\u5f39\u7c27\u5c06\u5728\u5176\u6700\u5927\u4f4d\u79fb\u65f6\uff08\u5373\u62c9\u4f38 35 \u5398\u7c73\u65f6\uff09\u83b7\u5f97\u6700\u5927\u52bf\u80fd\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u8ba1\u7b97\u8fd9\u79cd\u60c5\u51b5\u4e0b\u7684\u5f39\u6027\u52bf\u80fd\uff1a<\/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\"> \u56e0\u6b64\uff0c\u6700\u5927\u52a8\u80fd\u5c06\u5728\u53e6\u4e00\u70b9\u8fbe\u5230\uff0c\u6070\u597d\u5728\u5f39\u7c27\u901a\u8fc7\u5176\u5e73\u8861\u4f4d\u7f6e\u7684\u65f6\u523b\u3002\u4f46\u5176\u503c\u5c06\u7b49\u4e8e\u6700\u5927\u5f39\u6027\u52bf\u80fd\u7684\u503c\uff1a<\/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\"> \u6700\u540e\uff0c\u4f7f\u7528\u76f8\u5e94\u7684\u516c\u5f0f\u8ba1\u7b97\u51fa\u4e0e\u8be5\u52a8\u80fd\u5bf9\u5e94\u7684\u901f\u5ea6\u5c31\u8db3\u591f\u4e86\uff1a <\/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\">\u7b80\u800c\u8a00\u4e4b\uff0c\u8d28\u91cf\u5c06\u83b7\u5f97\u7684\u6700\u5927\u901f\u5ea6\u4e3a 2.71 m\/s\uff0c\u5e76\u4e14\u6bcf\u6b21\u901a\u8fc7\u5e73\u8861\u4f4d\u7f6e\u65f6\u90fd\u4f1a\u8fbe\u5230\u8be5\u901f\u5ea6\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u6211\u4eec\u4ece\u56fa\u5b9a\u5728\u5929\u82b1\u677f\u4e0a\u7684\u5f39\u7c27\u4e0a\u60ac\u6302\u4e00\u4e2a\u8d28\u91cf m=2 kg \u7684\u7269\u4f53\u3002\u7acb\u5373\u5c06\u5f39\u7c27\u62c9\u4f38\u0394X=50cm\uff0c\u76f4\u5230\u5728\u8ddd\u5730\u9762h=3m\u7684\u9ad8\u5ea6\u5904\u83b7\u5f97\u65b0\u7684\u5e73\u8861\u4f4d\u7f6e\u3002\u50a8\u5b58\u7684\u603b\u52bf\u80fd\u662f\u591a\u5c11\uff1f\u6570\u636e\uff1ak=40N\/m\uff1b g = 10 m\/s\u3002 <\/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=\"\u89e3\u51b3\u4e86\u5f39\u6027\u52a8\u529b\u80fd\u91cf\u95ee\u9898\" 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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u603b\u5f39\u6027\u52bf\u80fd\u662f\u5f39\u7c27\u7684\u5f39\u6027\u52bf\u80fd\u52a0\u4e0a\u8d28\u91cf\u7684\u91cd\u529b\u52bf\u80fd\u4e4b\u548c\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u5e94\u7528\u672c\u6587\u4e2d\u89e3\u91ca\u7684\u516c\u5f0f\u8ba1\u7b97\u5f39\u6027\u52bf\u80fd\uff1a<\/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\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4f7f\u7528\u76f8\u5e94\u7684\u516c\u5f0f\u8ba1\u7b97\u91cd\u529b\u52bf\u80fd\uff1a<\/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\"> \u56e0\u6b64\uff0c\u603b\u52bf\u80fd\u662f\u4e24\u4e2a\u8ba1\u7b97\u51fa\u7684\u52bf\u80fd\u4e4b\u548c\uff1a <\/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>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u5f39\u6027\u52bf\u80fd\u3001\u5982\u4f55\u8ba1\u7b97\u5f39\u6027\u52bf\u80fd\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u51e0\u4e2a\u7ec3\u4e60\u3002 \u4ec0\u4e48\u662f\u5f39\u6027\u52bf\u80fd\uff1f \u5f39\u6027\u52bf\u80fd\uff0c\u6216\u7b80 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e5%bc%b9%e6%80%a7%e5%8a%bf%e8%83%bd\/\"> <span class=\"screen-reader-text\">\u5f39\u6027\u52bf\u80fd<\/span> \u67e5\u770b\u5168\u6587 &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-5"],"yoast_head":"<!-- This site is optimized 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