{"id":240,"date":"2023-06-23T12:42:01","date_gmt":"2023-06-23T12:42:01","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e5%bc%95%e5%8a%9b%e5%8a%bf\/"},"modified":"2023-06-23T12:42:01","modified_gmt":"2023-06-23T12:42:01","slug":"%e5%bc%95%e5%8a%9b%e5%8a%bf","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e5%bc%95%e5%8a%9b%e5%8a%bf\/","title":{"rendered":"\u5f15\u529b\u52bf"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u5f15\u529b\u52bf\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u5f15\u529b\u52bf\u3001\u5f15\u529b\u52bf\u7684\u6c42\u89e3\u7ec3\u4e60\u4ee5\u53ca\u7b49\u52bf\u9762\u7684\u7ec4\u6210\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-potencial-gravitatorio\"><\/span>\u4ec0\u4e48\u662f\u5f15\u529b\u52bf\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c<strong>\u5f15\u529b\u52bf<\/strong>\uff08\u6216<strong>\u5f15\u529b\u52bf<\/strong>\uff09\u662f\u7528\u6765\u91cf\u5316\u5f15\u529b\u573a\u7684\u91cf\u3002<\/p>\n<p>\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u4e00\u70b9\u7684\u5f15\u529b\u52bf\u503c\u8868\u793a\u529b\u5c06\u7269\u4f53\u4ee5\u6052\u5b9a\u901f\u5ea6\u4ece\u65e0\u7a77\u8fdc\u4f20\u8f93\u5230\u5f15\u529b\u573a\u4e2d\u7684\u8be5\u70b9\u6240\u5fc5\u987b\u505a\u7684\u529f\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u6240\u6709\u7269\u4f53\uff0c\u65e0\u8bba\u8d28\u91cf\u5982\u4f55\uff0c\u90fd\u4f1a\u4ea7\u751f\u5f15\u529b\u573a\u3002\u56e0\u6b64\uff0c\u6240\u6709\u7269\u4f53\u4e5f\u4f1a\u4ea7\u751f\u5f15\u529b\u52bf\u3002\u7136\u800c\uff0c\u4ec5\u8003\u8651\u8d28\u91cf\u8db3\u591f\u5927\u7684\u5f15\u529b\u573a\uff0c\u4f8b\u5982\u884c\u661f\uff0c\u56e0\u4e3a\u5176\u4f59\u7684\u51e0\u4e4e\u4e3a\u96f6\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-potencial-gravitatorio\"><\/span>\u5f15\u529b\u52bf\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u70b9\u8d28\u91cf\u5728\u67d0\u4e00\u70b9\u4ea7\u751f\u7684\u5f15\u529b\u52bf\u7b49\u4e8e\u51cf\u53bb\u4e07\u6709\u5f15\u529b\u5e38\u6570\u4e58\u4ee5\u8be5\u8d28\u91cf\u9664\u4ee5\u8be5\u70b9\u8d28\u91cf\u4e0e\u8ba1\u7b97\u5f15\u529b\u52bf\u7684\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c<strong>\u5f15\u529b\u52bf\u7684\u516c\u5f0f<\/strong>\u5982\u4e0b\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-96c4ce259ef29fec7d7c42d7c67f57cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V=-\\cfrac{G\\cdot M}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\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-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u91cd\u529b\u52bf\uff0c\u5355\u4f4d\u4e3aJ\/kg\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-1e40206e25474f738eeb7ca968031abf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"G\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e07\u6709\u5f15\u529b\u5e38\u6570\uff0c\u5176\u503c\u4e3a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9d75ef18969b22581b72ad88a7def60c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6,674\\cdot 10^{-11} \\ N\\cdot m^2\/kg^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<p>\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-27d6692c77760dc1111628e74a6d272f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"M\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4ea7\u751f\u5f15\u529b\u573a\u7684\u7269\u4f53\u8d28\u91cf\uff0c\u4ee5\u5343\u514b\u8868\u793a\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-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4ea7\u751f\u5f15\u529b\u573a\u7684\u7269\u4f53\u4e0e\u5174\u8da3\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u4ee5\u7c73\u4e3a\u5355\u4f4d\u3002<\/span><\/li>\n<\/ul>\n<p>\u53e6\u5916\uff0c\u5f15\u529b\u52bf\u6ee1\u8db3<strong>\u53e0\u52a0\u539f\u7406<\/strong>\uff0c\u5373\u5982\u679c\u6709\u591a\u4e2a\u8d28\u91cf\u4ea7\u751f\u5f15\u529b\u573a\uff0c\u5219\u67d0\u4e00\u70b9\u7684\u5f15\u529b\u52bf\u5c31\u662f\u8be5\u70b9\u6240\u6709\u8d28\u91cf\u7684\u5f15\u529b\u52bf\u4e4b\u548c\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-5df3dc8c4cb5495099377cfe98118af4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle V_T=\\sum _{i=1}^n V_i=V_1+V_2+V_3+\\dots+ V_n\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"292\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-del-potencial-gravitatorio\"><\/span>\u8ba1\u7b97\u91cd\u529b\u52bf\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u5f15\u529b\u52bf\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u5728\u672c\u8282\u4e2d\u60a8\u53ef\u4ee5\u770b\u5230\u8ba1\u7b97\u8be5\u7269\u7406\u91cf\u7684\u5df2\u89e3\u51b3\u793a\u4f8b\u3002<\/p>\n<ul>\n<li>\u8d28\u91cf\u4e3a 8\u00b710 <sup>20<\/sup> kg \u7684\u70b9\u5728\u8ddd\u79bb 6.5\u00b710 <sup>7<\/sup> m \u5904\u4ea7\u751f\u7684\u5f15\u529b\u52bf\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u4e3a\u4e86\u786e\u5b9a\u5f15\u529b\u52bf\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4e0a\u9762\u770b\u5230\u7684\u516c\u5f0f\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-96c4ce259ef29fec7d7c42d7c67f57cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V=-\\cfrac{G\\cdot M}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u7b80\u5355\u5730\u5c06\u6570\u636e\u4ee3\u5165\u516c\u5f0f\u5e76\u8ba1\u7b97\u5f15\u529b\u52bf\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-7f0cf9c9a7f9cb1177d603420f0e147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V=-\\cfrac{6,674\\cdot 10^{-11} \\cdot 8\\cdot 10^{20}}{6,5\\cdot 10^7}=-821,42 \\ J\/kg [\/ latex]\n\n<h2 class=&quot;wp-block-heading&quot;><span class=&quot;ez-toc-section&quot; id=&quot;Superficie-equipotencial&quot;><\/span> surface \u00e9quipotentielle<span class=&quot;ez-toc-section-end&quot;><\/span><\/h2>\n<p> Une <strong>surface \u00e9quipotentielle<\/strong> est constitu\u00e9e de tous les points de l&#8217;espace qui ont le m\u00eame potentiel gravitationnel. Dans l&#8217;image suivante, vous pouvez voir plusieurs surfaces \u00e9quipotentielles repr\u00e9sent\u00e9es. Chaque cercle correspond \u00e0 un potentiel gravitationnel diff\u00e9rent et constitue donc une surface \u00e9quipotentielle. <\/p>\n<figure class=&quot;wp-block-image aligncenter size-full is-resized&quot;><img decoding=&quot;async&quot; loading=&quot;lazy&quot; src=&quot;https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/potentiel-gravitationnel-de-surface-equipotentiel.png&quot; alt=&quot;surface \u00e9quipotentielle&quot; class=&quot;wp-image-3985&quot; width=&quot;290&quot; height=&quot;318&quot; srcset=&quot;https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/potentiel-gravitationnel-de-surface-equipotentiel-273x300.png 273w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/potentiel-gravitationnel-de-surface-equipotentiel.png 543w&quot; sizes=&quot;(max-width: 273px) 100vw, 273px&quot;><\/figure>\n<p> Notez que plus le point du champ gravitationnel est \u00e9loign\u00e9 du centre du corps qui cr\u00e9e le champ, plus le potentiel gravitationnel est grand. De plus, chaque point ne peut appartenir qu&#8217;\u00e0 une seule surface \u00e9quipotentielle, puisque le potentiel gravitationnel en un point a une seule valeur. <\/p>\n<h2 class=&quot;wp-block-heading&quot;><span class=&quot;ez-toc-section&quot; id=&quot;Potencial-gravitatorio-y-energia-potencial-gravitatoria&quot;><\/span> Potentiel gravitationnel et \u00e9nergie potentielle gravitationnelle<span class=&quot;ez-toc-section-end&quot;><\/span><\/h2>\n<p> <strong>L&#8217;\u00e9nergie potentielle gravitationnelle<\/strong> est l&#8217;\u00e9nergie potentielle qu&#8217;un corps acquiert lorsqu&#8217;il est plac\u00e9 en un point dans un champ gravitationnel. Ainsi, l&#8217;\u00e9nergie potentielle gravitationnelle peut \u00eatre calcul\u00e9e \u00e0 partir du potentiel gravitationnel, puisqu&#8217;ils sont li\u00e9s par la formule suivante : [latex]V=\\cfrac{E_p}{m}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;589&#8243; width=&#8221;2122&#8243; style=&#8221;vertical-align: -12px;&#8221;><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\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-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u67d0\u4e00\u70b9\u7684\u5f15\u529b\u52bf\uff0c\u5355\u4f4d\u4e3aJ\/kg\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-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>\u662f\u67d0\u4e00\u70b9\u7684\u91cd\u529b\u52bf\u80fd\uff0c\u4ee5\u7126\u8033\u8868\u793a\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-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u7f6e\u4e8e\u5f15\u529b\u573a\u4e2d\u5e76\u53d7\u5230\u5f15\u529b\u4f5c\u7528\u7684\u7269\u4f53\u7684\u8d28\u91cf\uff0c\u4ee5\u5343\u514b\u4e3a\u5355\u4f4d\u3002<\/span><\/li>\n<\/ul>\n<p>\u56e0\u6b64\uff0c\u4e00\u70b9\u7684\u5f15\u529b\u52bf\u4e5f\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u7269\u4f53\u901a\u8fc7\u5c06\u81ea\u8eab\u7f6e\u4e8e\u5f15\u529b\u573a\u4e2d\u7684\u8be5\u70b9\u800c\u83b7\u5f97\u7684\u6bcf\u5355\u4f4d\u7269\u8d28\u7684\u52bf\u80fd\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u91cd\u529b\u52bf\u80fd\/\">\u91cd\u529b\u52bf\u80fd\u516c\u5f0f<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u5f15\u529b\u52bf\u3002\u540c\u6837\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u5f15\u529b\u52bf\u3001\u5f15\u529b\u52bf\u7684\u6c42\u89e3\u7ec3\u4e60\u4ee5\u53ca\u7b49\u52bf\u9762\u7684\u7ec4\u6210\u3002 \u4ec0\u4e48\u662f\u5f15\u529b\u52bf\uff1f  &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e5%bc%95%e5%8a%9b%e5%8a%bf\/\"> <span class=\"screen-reader-text\">\u5f15\u529b\u52bf<\/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-240","post","type-post","status-publish","format-standard","hentry","category-5"],"yoast_head":"<!-- This site is optimized 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