{"id":182,"date":"2015-05-12T11:40:34","date_gmt":"2015-05-12T11:40:34","guid":{"rendered":"http:\/\/phd-kawamura.jp\/wordpress\/?p=182"},"modified":"2015-05-12T11:45:49","modified_gmt":"2015-05-12T11:45:49","slug":"cit-m-energy","status":"publish","type":"post","link":"http:\/\/phd-kawamura.jp\/wordpress\/cit-m-energy\/","title":{"rendered":"\u6559\u990a\u306e\u7269\u7406\uff5e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306b\u901f\u5ea6$v=\\frac{\\mathrm{d}x}{\\mathrm{d}t}$\u3092\u304b\u3051\u308b\u610f\u5473"},"content":{"rendered":"<p>\u8b1b\u7fa9\u4e2d\u3067\u306f\u6df7\u4e71\u3092\u3055\u3089\u306b\u52a0\u901f\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u304b\u306d\u306a\u3044\u306e\u3067<br \/>\n\u6df1\u5165\u308a\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u3002<br \/>\n\u3053\u3053\u3067\u88dc\u8db3\u8aac\u660e\u3092\u3057\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n<p>\u904b\u52d5\u65b9\u7a0b\u5f0f<\/p>\n<p>\\begin{eqnarray*}<br \/>\nm \\frac{\\mathrm{d} v}{\\mathrm{d} t} = F<br \/>\n\\end{eqnarray*}<\/p>\n<p>\u3092$x$\u3067\u7a4d\u5206\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3059\u308b\u3068\u3001<\/p>\n<p>\\begin{eqnarray*}<br \/>\n\\int m \\frac{\\mathrm{d} v}{\\mathrm{d} t} dx= \\int F dx<br \/>\n\\end{eqnarray*}<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5f0f\u306e\u5de6\u8fba\u306f$\\mathrm{d} t$\u3068$dx$\u304c\u6df7\u5728\u3057\u3066\u3044\u308b\u306e\u3067\u6574\u7406\u3092\u3057\u307e\u3059\u3002<br \/>\n\u3064\u307e\u308a\u3001$dx$\u3092\u5225\u306e\u5f62\u3067\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u6211\u3005\u304c\u77e5\u3063\u3066\u3044\u308b$dx$\u306b\u95a2\u3059\u308b\u5f0f\u306f<\/p>\n<p>\\begin{eqnarray*}<br \/>\nv = \\frac{\\mathrm{d} x}{\\mathrm{d} t}<br \/>\n\\end{eqnarray*}<\/p>\n<p>\u3067\u3059\u306d\u3002<br \/>\n\u3088\u3063\u3066\u3001\u3053\u306e\u5f0f\u3092\u5909\u5f62\u3057\u3066<\/p>\n<p>\\begin{eqnarray*}<br \/>\n\\mathrm{d} x = v \\mathrm{d} t<br \/>\n\\end{eqnarray*}<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\n\u3053\u306e\u5f0f\u3092\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092$x$\u3067\u7a4d\u5206\u3057\u305f\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068<\/p>\n<p>\\begin{eqnarray*}<br \/>\n\\int m \\frac{\\mathrm{d} v}{\\mathrm{d} t} v dt= \\int F dx<br \/>\n\\end{eqnarray*}<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\n\u3088\u3063\u3066\u3001<\/p>\n<p>\\begin{eqnarray*}<br \/>\n\\int \\Bigl( m \\frac{\\mathrm{d} v}{\\mathrm{d} t} v \\Bigr) dt &#038; = \\int F dx \\\\<br \/>\n\\\\<br \/>\n\\int   \\frac{\\mathrm{d}}{\\mathrm{d} t} \\Bigl( \\frac{1}{2}mv^2 \\Bigr) dt &#038; = \\int F dx<br \/>\n\\end{eqnarray*}<\/p>\n<p>\u3068\u306a\u308a\u3001\u8b1b\u7fa9\u3067\u6271\u3063\u305f$v$\u3092\u304b\u3051\u305f\u5f62\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u300c\u904b\u52d5\u65b9\u7a0b\u5f0f\u306b$v= \\frac{\\mathrm{d} x}{\\mathrm{d} t} $\u3092\u304b\u3051\u3066$t$\u3067\u7a4d\u5206\u3057\u305f\u300d\u3068\u3044\u3046\u3053\u3068\u306f<br \/>\n\u300c$x$\u3067\u7a4d\u5206\u3057\u305f\u300d\u3068\u540c\u3058\u610f\u5473\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092$x$\u3067\u7a4d\u5206\u3059\u308b\u3068\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u304c\u5c0e\u304b\u308c\u307e\u3059\u3002<\/p>\n<p>\u3053\u308c\u3092\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u8ddd\u96e2\u7a4d\u5206\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8b1b\u7fa9\u4e2d\u3067\u306f\u6df7\u4e71\u3092\u3055\u3089\u306b\u52a0\u901f\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u304b\u306d\u306a\u3044\u306e\u3067 \u6df1\u5165\u308a\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u3002 \u3053\u3053\u3067\u88dc\u8db3\u8aac\u660e\u3092\u3057\u3066\u304a\u304d\u307e\u3059\u3002 \u904b\u52d5\u65b9\u7a0b\u5f0f \\begin{eqnarray*} m \\frac{\\mathrm{d} v} &#8230; <\/p>\n","protected":false},"author":1,"featured_media":186,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[2],"tags":[],"_links":{"self":[{"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts\/182"}],"collection":[{"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/comments?post=182"}],"version-history":[{"count":3,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts\/182\/revisions"}],"predecessor-version":[{"id":188,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts\/182\/revisions\/188"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/media\/186"}],"wp:attachment":[{"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/media?parent=182"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/categories?post=182"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/tags?post=182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}