{"id":1691,"date":"2013-08-27T14:25:58","date_gmt":"2013-08-27T12:25:58","guid":{"rendered":"http:\/\/www.zsvltava.cz\/fyzika\/?p=1691"},"modified":"2025-04-10T07:52:47","modified_gmt":"2025-04-10T05:52:47","slug":"2-resene-priklady-na-spojene-nadoby","status":"publish","type":"post","link":"https:\/\/www.zsvltava.cz\/fyzika\/?p=1691","title":{"rendered":"2 \u0159e\u0161en\u00e9 p\u0159\u00edklady na spojen\u00e9 n\u00e1doby"},"content":{"rendered":"<ol type=\"1\" class=\"ns_priklady\">\n<li>M\u00e1me spojen\u00e9 n\u00e1doby. Jednu stranu tvo\u0159\u00ed plocha o rozm\u011brech 50 cm x 50 cm. <strong>Jak velkou plochu<\/strong> mus\u00ed m\u00edt druh\u00e1 \u010d\u00e1st spojen\u00fdch n\u00e1dob, pokud bychom cht\u011bli vlastn\u00ed vahou nadzdvihnout automobil o hmotnosti 1,5 tuny?<\/li>\n<li>M\u00e1me spojen\u00e9 n\u00e1doby se 3 otvory. 2 otvory, ka\u017ed\u00fd o rozm\u011bru  50 cm x 50 cm, jsou zat\u00ed\u017eeny z\u00e1va\u017e\u00edmi o hmotnosti 10 kg.<br \/>\n<strong>Jak velkou silou<\/strong> p\u016fsob\u00ed kapalina na 3. otvor, kter\u00fd m\u00e1 obsah 100 dm<sup>2<\/sup> ? <\/li>\n<\/ol>\n<h2 class=\"toggleNext\">\u0158e\u0161en\u00ed #1<\/h2>\n<div class=\"ns__reseni off\">\n<p>m<sub>1<\/sub> = 80 kg (moje hmotnost)<br \/>\nS<sub>1<\/sub> = 50 cm . 50 cm = 2 500 cm<sup>2<\/sup><br \/>\nm<sub>2<\/sub> = 1 500 kg (hmotnost auta)<br \/>\nS<sub>2<\/sub> = ? cm<sup>2<\/sup> <\/p>\n<hr \/>\n<p>Vyu\u017eijeme znalosti Pascalova z\u00e1kona. Ten \u0159\u00edk\u00e1, \u017ee <em>p\u0159i p\u016fsoben\u00ed vn\u011bj\u0161\u00ed s\u00edly na kapalinu v uzav\u0159en\u00e9 n\u00e1dob\u011b se mus\u00ed zm\u011bnit tlak v\u0161ude v kapalin\u011b stejn\u011b.<\/em> Tud\u00ed\u017e, pokud p\u016fsob\u00edme v n\u011bjak\u00e9m m\u00edst\u011b, mus\u00edme v kter\u00e9mkoliv jin\u00e9m m\u00edst\u011b zaznamenat stejn\u00fd tlak.<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 41px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-3b2dd71b6aceb829334764c07998c593_l3.png\" height=\"41\" width=\"185\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#112;&#95;&#49;&#32;&#61;&#32;&#112;&#95;&#50;&#32;&#92;&#105;&#109;&#112;&#108;&#105;&#101;&#115;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#70;&#95;&#49;&#125;&#123;&#83;&#95;&#49;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#70;&#95;&#50;&#125;&#123;&#83;&#95;&#50;&#125;&#32; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 41px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-b2fb3b2951f28a819f85e7ea7d5d63cb_l3.png\" height=\"41\" width=\"93\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#83;&#95;&#50;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#70;&#95;&#50;&#125;&#123;&#70;&#95;&#49;&#125;&#46;&#83;&#95;&#49; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>S\u00edly kter\u00e9 p\u016fsob\u00ed, jsou vlastn\u011b s\u00edly gravita\u010dn\u00ed:<\/p>\n<p><strong style=\"display: block; text-align: center; padding: 1em;\">F<sub>g<\/sub> = m . g<\/strong><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 43px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-9d5ad39746715555c6107194dd2af51f_l3.png\" height=\"43\" width=\"186\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#83;&#95;&#50;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#70;&#95;&#50;&#125;&#123;&#70;&#95;&#49;&#125;&#46;&#83;&#95;&#49;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#109;&#95;&#50;&#46;&#103;&#125;&#123;&#109;&#95;&#49;&#46;&#103;&#125;&#46;&#83;&#95;&#49; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 43px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-b549297d57b1e934d1efce9dce5384d3_l3.png\" height=\"43\" width=\"193\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#83;&#95;&#50;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#53;&#48;&#48;&#92;&#32;&#107;&#103;&#125;&#123;&#56;&#48;&#92;&#32;&#107;&#103;&#125;&#46;&#50;&#53;&#48;&#48;&#92;&#32;&#99;&#109;&#94;&#50; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 22px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-e5abce4c9f29bfc64b17540a91850bf2_l3.png\" height=\"22\" width=\"221\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#83;&#95;&#50;&#61;&#52;&#54;&#56;&#55;&#53;&#92;&#32;&#99;&#109;&#94;&#50;&#61;&#52;&#44;&#54;&#57;&#92;&#32;&#109;&#94;&#50; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>Tento v\u00fdsledek ur\u010duje stav, kdy jsou s\u00edly v rovnov\u00e1ze. S\u00edla, kter\u00e1 p\u016fsob\u00ed na auto je d\u00e1na vztahem:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 41px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-2c727e70f9e8447742e3042e80aae67d_l3.png\" height=\"41\" width=\"88\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#70;&#95;&#50;&#61;&#83;&#95;&#50;&#92;&#102;&#114;&#97;&#99;&#123;&#70;&#95;&#49;&#125;&#123;&#83;&#95;&#49;&#125; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>Ze vztahu je patrn\u00e9, \u017ee tato s\u00edla bude t\u00edm v\u011bt\u0161\u00ed, \u010d\u00edm v\u011bt\u0161\u00ed bude plocha, na kter\u00e9 bude auto st\u00e1t.<\/p>\n<p><strong>Pro nadzvi\u017een\u00ed automobilu bude pot\u0159eba <br \/>plocha v\u011bt\u0161\u00ed ne\u017e 4,7&nbsp;m<sup>2<\/sup><\/strong>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>M\u00e1me spojen\u00e9 n\u00e1doby. Jednu stranu tvo\u0159\u00ed plocha o rozm\u011brech 50 cm x 50 cm. Jak velkou plochu mus\u00ed m\u00edt druh\u00e1 \u010d\u00e1st spojen\u00fdch n\u00e1dob, pokud bychom &#8230;. <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[90,40,59],"tags":[38,23],"class_list":["post-1691","post","type-post","status-publish","format-standard","hentry","category-kapaliny","category-priklady-pro-7-rocnik","category-tlak","tag-hydrostatika","tag-reseny-priklad"],"_links":{"self":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/1691","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1691"}],"version-history":[{"count":0,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/1691\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1691"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1691"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}