\u904b\u52d5\u65b9\u7a0b\u5f0f\u304b\u3089\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u5f0f\u3092\u5c0e\u304f\u5f0f\u5909\u5f62\u306e\u306b\u304a\u3044\u3066<\/p>\n
\u8b1b\u7fa9\u5185\u3067\u306f<\/p>\n
\\begin{eqnarray}
\nm\\frac{\\diff v}{\\diff t} &=& F \\\\
\n\\int m\\frac{\\diff v}{\\diff t} \\diff x &=& \\int F \\diff x \\\\
\n\\int m\\frac{\\diff v}{\\diff t} v\\ \\diff t &=& \\int F \\diff x \\\\
\n\\int \\frac{\\diff}{\\diff t}\\left( \\frac{1}{2} mv^2 \\right) \\ \\diff t &=& \\int F \\diff x \\\\
\n\\end{eqnarray}<\/p>\n
\u3055\u3089\u306b\u3001\u901f\u5ea6\u306b\u3064\u3044\u3066$v(t_1)=v_1,\\ v(t_2)=v_2$\u3068\u3057\u3001\u5909\u4f4d\u306b\u3064\u3044\u3066$ x(t_1)=x_1,\\ x(t_2)=x_2$\u3068\u3057\u3066\u7a4d\u5206\u3059\u308b\u3068<\/p>\n
\\begin{eqnarray}
\n\\left[ \\frac{1}{2} mv^2 \\right]^{v_2}_{v_1} &=& \\int^{x_2}_{x_1} F \\diff x \\\\
\n\\frac{1}{2} mv_2^2 – \\frac{1}{2} mv_1^2 &=& \\int^{x_2}_{x_1} F \\diff x \\\\
\n\\end{eqnarray}<\/p>\n
\u3068\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002<\/p>\n
\u5225\u306e\u5f0f\u5909\u5f62\u3068\u3057\u3066<\/p>\n
\\begin{eqnarray}
\nm\\frac{\\diff v}{\\diff t} &=& F \\\\
\n\\int m\\frac{\\diff v}{\\diff t} \\diff x &=& \\int F \\diff x \\\\
\n\\int m\\frac{\\diff v}{\\diff t} v\\ \\diff t &=& \\int F \\diff x \\\\
\n\\int m v \\diff v &=& \\int F \\diff x \\\\
\n\\end{eqnarray}<\/p>\n
\u3068\u3057\u3066\u3001\u5de6\u8fba\u3092$v$\u3067\u7a4d\u5206\u3059\u308b\u3068\u3044\u3046\u65b9\u6cd5\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n
\u7a4d\u5206\u533a\u9593\u3092$v(t_1)=v_1,\\ v(t_2)=v_2,\\ x(t_1)=x_1,\\ x(t_2)=x_2$\u3068\u3059\u308b\u3068<\/p>\n
\\begin{eqnarray}
\n\\left[ \\frac{1}{2} mv^2 \\right]^{v_2}_{v_1} &=& \\int^{x_2}_{x_1} F \\diff x \\\\
\n\\end{eqnarray}<\/p>\n
\u3068\u306a\u308a\u3001\u540c\u69d8\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u8cea\u554f\u306e\u753b\u50cf\u306b\u66f8\u304b\u308c\u3066\u3044\u305f<\/p>\n
\\begin{eqnarray}
\nm\\frac{\\diff v}{\\diff t} &=& F \\\\
\n\\int m\\frac{\\diff v}{\\diff t} \\diff x &=& \\int F \\diff x \\\\
\n\\int m\\frac{\\diff x}{\\diff t} \\diff v &=& \\int F \\diff x \\\\
\n\\int m v \\diff v &=& \\int F \\diff x \\\\
\n\\end{eqnarray}<\/p>\n
\u3068\u5909\u5f62\u3059\u308b\u306e\u306f\u9593\u9055\u3044\u3067\u306f\u306a\u3044\u304c\u3001$\\diff x$\u3092$v \\diff t$\u3068\u7f6e\u304d\u63db\u3048\u308b\u65b9\u304c\u81ea\u7136\u306a\u6d41\u308c\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u904b\u52d5\u65b9\u7a0b\u5f0f\u304b\u3089\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u5f0f\u3092\u5c0e\u304f\u5f0f\u5909\u5f62\u306e\u306b\u304a\u3044\u3066 \u8b1b\u7fa9\u5185\u3067\u306f \\begin{eqnarray} m\\frac{\\diff v}{\\diff t} &=& F \\\\ \\i … <\/p>\n","protected":false},"author":1,"featured_media":934,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,11],"tags":[],"_links":{"self":[{"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts\/956"}],"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=956"}],"version-history":[{"count":2,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts\/956\/revisions"}],"predecessor-version":[{"id":958,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/posts\/956\/revisions\/958"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/media\/934"}],"wp:attachment":[{"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/media?parent=956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/categories?post=956"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/phd-kawamura.jp\/wordpress\/wp-json\/wp\/v2\/tags?post=956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}