{"id":9226,"date":"2022-08-24T22:44:20","date_gmt":"2022-08-24T13:44:20","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=9226"},"modified":"2022-09-10T06:21:40","modified_gmt":"2022-09-09T21:21:40","slug":"universal-gravitation","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/universal-gravitation.html","title":{"rendered":"\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\uff1a\u516c\u5f0f\u306e\u610f\u5473\u3084\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8a08\u7b97\u3001\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u4f5c\u308a\u65b9"},"content":{"rendered":"\n<p>\u3059\u3079\u3066\u306e\u7269\u4f53\u304c\u53d7\u3051\u308b\u529b\u306b\u4e07\u6709\u5f15\u529b\u304c\u3042\u308a\u307e\u3059\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u304c\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3092\u767a\u898b\u3057\u305f\u3053\u3068\u3067\u6709\u540d\u3067\u3059\u3002<\/p>\n<p>\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u306f\u4e3b\u306b\u5b87\u5b99\u7a7a\u9593\u3067\u306e\u529b\u5b66\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u4eba\u9593\u306e\u3088\u3046\u306b\u3001\u8efd\u3044\u7269\u4f53\u306b\u50cd\u304f\u4e07\u6709\u5f15\u529b\u306e\u5f71\u97ff\u306f\u975e\u5e38\u306b\u5c0f\u3055\u3044\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u6052\u661f\u3084\u60d1\u661f\u3001\u885b\u661f\u306e\u3088\u3046\u306a\u5927\u304d\u3044\u7269\u4f53\u306b\u5bfe\u3057\u3066\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3092\u5229\u7528\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3067\u306f\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u516c\u5f0f\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u307e\u305f\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3092\u5b66\u3076\u3068\u304d\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7fd2\u3044\u307e\u3059\u3002\u306a\u305c\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u4e07\u6709\u5f15\u529b\u3092\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4e07\u6709\u5f15\u529b\u306e\u8a08\u7b97\u65b9\u6cd5\u3084\u516c\u5f0f\u306e\u610f\u5473\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u7406\u7531\u3092\u542b\u3081\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3068\u516c\u5f0f<\/h2>\n<p>2\u3064\u306e\u7269\u4f53\u306b\u50cd\u304f\u5f15\u304d\u5408\u3046\u529b\u3092\u4e07\u6709\u5f15\u529b\u3068\u3044\u3044\u307e\u3059\u3002\u8cea\u91cf\\(m\\)\u306e\u7269\u4f53\u3068\u8cea\u91cf\\(M\\)\u306e\u7269\u4f53\u304c\u3042\u308a\u30012\u3064\u306e\u7269\u4f53\u306e\u8ddd\u96e2\u304c\\(r\\)\u306e\u3068\u304d\u30012\u3064\u306e\u7269\u4f53\u306b\u50cd\u304f\u4e07\u6709\u5f15\u529b\uff08\u5f15\u304d\u5408\u3046\u529b\uff09\\(F\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(F=G\\displaystyle\\frac{mM}{r^2}\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje3.jpg\" alt=\"\" width=\"600\" height=\"153\" class=\"aligncenter size-full wp-image-9236\" \/><\/p>\n<p>\u3064\u307e\u308a<span style=\"color: #0000ff;\">2\u3064\u306e\u7269\u4f53\u306e\u8cea\u91cf\u3092\u305d\u308c\u305e\u308c\u304b\u3051\u305f\u5f8c\u3001\u8ddd\u96e2\u306e2\u4e57\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4e07\u6709\u5f15\u529b\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u306a\u304a\\(G\\)\u306f\u5b9a\u6570\u3067\u3042\u308a\u3001\u4e07\u6709\u5f15\u529b\u5b9a\u6570\u3068\u547c\u3070\u308c\u307e\u3059\u3002\\(G\\)\u306e\u5024\u306f\u7d046.67\u00d710<sup>-11<\/sup>N\u00b7m<sup>2<\/sup>\/kg<sup>2<\/sup>\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u300150kg\u306e\u4eba\u3068\u4f53\u91cd60kg\u306e\u4eba\u304c1m\u96e2\u308c\u3066\u3044\u308b\u3068\u304d\u3001\u4e8c\u4eba\u306e\u9593\u3067\u50cd\u304f\u4e07\u6709\u5f15\u529b\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002\u516c\u5f0f\u306b\u5024\u3092\u5f53\u3066\u306f\u3081\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(F=6.67\u00d710^{-11}\u00d7\\displaystyle\\frac{50\u00d760}{1^2}\\)<\/p>\n<p>\\(F\u22522.0\u00d710^{-7}\\)<\/p>\n<p>\u4e8c\u4eba\u306e\u9593\u3067\u50cd\u304f\u4e07\u6709\u5f15\u529b\u306f\\(2.0\u00d710^{-7}\\)N\u3067\u3042\u308a\u3001\u975e\u5e38\u306b\u5c0f\u3055\u3044\u529b\u3067\u3059\u3002\u4e07\u6709\u5f15\u529b\u306f\u3059\u3079\u3066\u306e\u7269\u4f53\u3067\u50cd\u304f\u3082\u306e\u306e\u3001\u65e5\u5e38\u751f\u6d3b\u3067\u79c1\u305f\u3061\u304c\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u5f71\u97ff\u3092\u611f\u3058\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u5730\u7403\u306f\u975e\u5e38\u306b\u8cea\u91cf\u306e\u5927\u304d\u3044\u7269\u4f53\u3067\u3042\u308b\u305f\u3081\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u5f71\u97ff\u306b\u3088\u3063\u3066\u79c1\u305f\u3061\u306f\u5730\u7403\u306b\u5f15\u3063\u5f35\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u304c\u91cd\u529b\u3067\u3059\u3002<\/p>\n<h3>\u4e07\u6709\u5f15\u529b\u306e\u8a08\u7b97\u554f\u984c\u3067\u306f\u5186\u904b\u52d5\u304c\u95a2\u308f\u308b<\/h3>\n<p>\u91cd\u8981\u306a\u306e\u306f\u3001\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u5186\u904b\u52d5\u304c\u95a2\u308f\u308b\u3053\u3068\u3067\u3059\u3002\u3064\u307e\u308a\u3001<span style=\"color: #0000ff;\">\u5186\u904b\u52d5\u306e\u516c\u5f0f\u3092\u899a\u3048\u3066\u3044\u306a\u3051\u308c\u3070\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002<\/span><\/p>\n<p>\u5730\u7403\u3092\u542b\u3081\u3001\u60d1\u661f\u306e\u5f62\u306f\u7403\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u30ed\u30b1\u30c3\u30c8\u3092\u6253\u3061\u4e0a\u3052\u308b\u3068\u304d\u3001\u30ed\u30b1\u30c3\u30c8\u306f\u5186\u904b\u52d5\u3092\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje4.jpg\" alt=\"\" width=\"277\" height=\"264\" class=\"aligncenter size-full wp-image-9238\" \/><\/p>\n<p>\u4eba\u3092\u4e57\u305b\u3066\u30ed\u30b1\u30c3\u30c8\u304c\u6708\u306b\u884c\u304f\u306b\u3057\u3066\u3082\u3001\u30ed\u30b1\u30c3\u30c8\u306f\u6700\u521d\u3001\u5730\u7403\u306e\u5468\u308a\u3092\u52d5\u304f\u306e\u3067\u5186\u904b\u52d5\u3092\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3092\u5229\u7528\u3059\u308b\u3068\u304d\u306f\u5186\u904b\u52d5\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u5186\u306e\u534a\u5f84\u3092\\(r\\)\u3001\u89d2\u901f\u5ea6\u3092\\(\u03c9\\)\u3068\u3059\u308b\u3068\u3001\u5186\u904b\u52d5\u3067\u901f\u3055\\(v\\)\u3084\u52a0\u901f\u5ea6\\(a\\)\u3092\u5f97\u308b\u516c\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(v=r\u03c9\\)<\/li>\n<li>\\(a=r\u03c9^2\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3068\u3001\u52a0\u901f\u5ea6\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a=\\displaystyle\\frac{v^2}{r}\\)<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u3001\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3068\u5186\u904b\u52d5\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u5730\u7403\u306e\u534a\u5f84\u3092\\(r\\)\u3001\u4eba\u5de5\u885b\u661f\u306e\u5730\u8868\u9762\u304b\u3089\u306e\u9ad8\u3055\u3092\\(h\\)\u3001\u91cd\u529b\u52a0\u901f\u5ea6\u3092\\(g\\)\u3068\u3057\u307e\u3059\u3002\u4eba\u5de5\u885b\u661f\u306e\u901f\u3055\\(v\\)\u306b\u3064\u3044\u3066\u3001\\(r\\)\u3001\\(h\\)\u3001\\(g\\)\u3092\u7528\u3044\u3066\u8868\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u3001\u56f3\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002\u5730\u7403\u306e\u91cd\u3055\u3092\\(M\\)\u3001\u4eba\u5de5\u885b\u661f\u306e\u91cd\u3055\u3092\\(m\\)\u3001\u4e07\u6709\u5f15\u529b\u5b9a\u6570\u3092\\(G\\)\u3068\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje5.jpg\" alt=\"\" width=\"313\" height=\"288\" class=\"aligncenter size-full wp-image-9239\" \/><\/p>\n<p>\u5186\u904b\u52d5\u3057\u3066\u3044\u308b\u7269\u4f53\u306f\u4e2d\u5fc3\u306b\u5411\u304b\u3063\u3066\u529b\u304c\u50cd\u3044\u3066\u3044\u307e\u3059\u3002\u4eba\u5de5\u885b\u661f\u306f\u5730\u7403\u306e\u5468\u56f2\u3092\u56de\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u5730\u7403\u306e\u4e2d\u5fc3\u306b\u5411\u304b\u3063\u3066\u5e38\u306b\u52a0\u901f\u5ea6\\(a\\)\u304c\u52a0\u308f\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u4eba\u5de5\u885b\u661f\u306f\u3069\u306e\u7269\u4f53\u3068\u3082\u89e6\u308c\u3066\u3044\u306a\u3044\u3082\u306e\u306e\u3001\u5730\u7403\u3068\u306e\u9593\u3067\u4e07\u6709\u5f15\u529b\u3092\u751f\u3058\u3066\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u4eba\u5de5\u885b\u661f\u306b\u751f\u3058\u3066\u3044\u308b\u529b\uff08\u5730\u7403\u306e\u4e2d\u5fc3\u65b9\u5411\u3078\u52a0\u308f\u308b\u529b\uff09\u3068\u3044\u3046\u306e\u306f\u3001\u5730\u7403\u3068\u4eba\u5de5\u885b\u661f\u306b\u3088\u308b\u4e07\u6709\u5f15\u529b\u3068\u7b49\u3057\u3044\u3067\u3059\u3002<\/p>\n<p>\u904b\u52d5\u65b9\u7a0b\u5f0f\u3088\u308a\u3001\\(F=ma\\)\u3067\u3059\u3002\u524d\u8ff0\u306e\u901a\u308a\\(a=\\displaystyle\\frac{v^2}{r}\\)\uff08\\(r\\)\u306f\u4e2d\u5fc3\u304b\u3089\u306e\u8ddd\u96e2\uff09\u3067\u3042\u308b\u305f\u3081\u3001\u4eba\u5de5\u885b\u661f\u304c\u5186\u904b\u52d5\u3059\u308b\u3068\u304d\u3001\u5730\u7403\u306e\u4e2d\u5fc3\u306b\u5411\u304b\u3063\u3066\u52a0\u308f\u3063\u3066\u3044\u308b\u529b\uff08\u5411\u5fc3\u529b\uff09\\(F\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u305b\u307e\u3059\u3002<\/p>\n<p>\\(F=m\\displaystyle\\frac{v^2}{r+h}\\)<\/p>\n<p>\u5730\u7403\u306e\u4e2d\u5fc3\u304b\u3089\u4eba\u5de5\u885b\u661f\u306e\u8ddd\u96e2\u306f\\(r+h\\)\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002\u306a\u304a\u4eba\u5de5\u885b\u661f\u306b\u3088\u308b\u5411\u5fc3\u529b\u3068\u300c\u5730\u7403\u3068\u4eba\u5de5\u885b\u661f\u306b\u3088\u308b\u4e07\u6709\u5f15\u529b\u300d\u306f\u7b49\u3057\u3044\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(m\\displaystyle\\frac{v^2}{r+h}=G\\displaystyle\\frac{mM}{(r+h)^2}\\)<\/p>\n<p>\\(v^2=\\displaystyle\\frac{GM}{r+h}\\)<\/p>\n<p>\\(v=\\sqrt{\\displaystyle\\frac{GM}{r+h}}\\) \uff08\\(v&gt;0\\)\uff09<\/p>\n<p>\u305f\u3060\u7b54\u3048\u306e\u4e2d\u306b\u4e07\u6709\u5f15\u529b\u5b9a\u6570\\(G\\)\u304c\u5f0f\u306b\u6b8b\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u4e07\u6709\u5f15\u529b\u5b9a\u6570\u3092\u6d88\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4eba\u5de5\u885b\u661f\u304c\u4eee\u306b\u5730\u8868\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u91cd\u529b\u306b\u3088\u3063\u3066\u52a0\u308f\u308b\u529b\u306f\\(mg\\)\u3067\u3059\u3002\u91cd\u529b\u3068\u3044\u3046\u306e\u306f\u3001\u8a00\u3044\u63db\u3048\u308b\u3068\u4e07\u6709\u5f15\u529b\\(G\\displaystyle\\frac{mM}{r^2}\\)\u3092\u6307\u3057\u307e\u3059\u3002\u5148\u307b\u3069\u3068\u306f\u7570\u306a\u308a\u3001\u4eba\u5de5\u885b\u661f\u306f\u5730\u8868\u306b\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u5730\u7403\u306e\u4e2d\u5fc3\u304b\u3089\u306e\u8ddd\u96e2\u306f\\(r+h\\)\u3067\u306f\u306a\u304f\\(r\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(mg=G\\displaystyle\\frac{mM}{r^2}\\)<\/p>\n<p>\\(G=\\displaystyle\\frac{gr^2}{M}\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u306e\u8a08\u7b97\u3057\u305f\u5f0f\u306b\\(G=\\displaystyle\\frac{gr^2}{M}\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(v=\\sqrt{\\displaystyle\\frac{GM}{r+h}}\\)<\/p>\n<p>\\(v=\\sqrt{\\displaystyle\\frac{M}{r+h}\u00d7\\displaystyle\\frac{gr^2}{M}}\\)<\/p>\n<p>\\(v=r\\sqrt{\\displaystyle\\frac{g}{r+h}}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4eba\u5de5\u885b\u661f\u306e\u901f\u3055\u306f\\(v=r\\sqrt{\\displaystyle\\frac{g}{r+h}}\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h2>\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u516c\u5f0f<\/h2>\n<p>\u4e07\u6709\u5f15\u529b\u3092\u7528\u3044\u3066\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u904b\u52d5\u65b9\u7a0b\u5f0f\u306b\u52a0\u3048\u3066\u3001\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5b87\u5b99\u3067\u306f\u3001\u3070\u306d\u306b\u3088\u308b\u5f3e\u6027\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u4ee3\u308f\u308a\u3001\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8003\u616e\u3057\u307e\u3057\u3087\u3046\u3002\u901f\u3055\\(v\\)\u306b\u52a0\u3048\u3066\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u308f\u304b\u308c\u3070\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u8cea\u91cf\\(m\\)\u306e\u7269\u4f53\u304c\u8cea\u91cf\\(M\\)\u306e\u7269\u4f53\u304b\u3089\u8ddd\u96e2\\(r\\)\u306e\u5834\u6240\u306b\u3042\u308b\u3068\u304d\u3001\u8cea\u91cf\\(m\\)\u306e\u7269\u4f53\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\\(U\\)\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u3088\u3063\u3066\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(U=-G\\displaystyle\\frac{mM}{r}\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje6.jpg\" alt=\"\" width=\"446\" height=\"264\" class=\"aligncenter size-full wp-image-9241\" \/><\/p>\n<p>\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u7fd2\u3046\u3068\u304d\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\\(mgh\\)\u3068\u6559\u308f\u3063\u305f\u3068\u601d\u3044\u307e\u3059\u3002\u4e07\u6709\u5f15\u529b\u3067\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5229\u7528\u3059\u308b\u5834\u5408\u3001\\(mgh\\)\u3067\u306f\u306a\u304f\\(-G\\displaystyle\\frac{mM}{r}\\)\u3092\u7528\u3044\u3066\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u3067\u3042\u308b\u3053\u3068\u306f\u554f\u984c\u304c\u306a\u3044\uff1a<span>\u7121\u9650\u9060\u3067\u306e\u30a8\u30cd\u30eb\u30ae\u30fc<\/span><\/h3>\n<p>\u306a\u304a\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5b66\u3076\u3068\u304d\u3001\u300c\u306a\u305c\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u30de\u30a4\u30ca\u30b9\u304c\u52a0\u308f\u3063\u3066\u3044\u308b\u306e\u304b\u300d\u3068\u7591\u554f\u306b\u601d\u3044\u307e\u3059\u3002<\/p>\n<p>\u3069\u3053\u3092\u57fa\u6e96\u306b\u3059\u308b\u306e\u304b\u306b\u3088\u3063\u3066\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u5909\u5316\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3042\u306a\u305f\u304c\u30d3\u30eb\u306e\u5c4b\u4e0a\u306b\u7acb\u3063\u3066\u8cea\u91cf\\(m\\)\u306e\u30dc\u30fc\u30eb\u3092\u81ea\u7531\u843d\u4e0b\u3055\u305b\u308b\u5834\u5408\u3001\u30d3\u30eb\u306e\u5c4b\u4e0a\u304b\u3089\u4e0b\u3078\u8ddd\u96e2\\(h&#8217;\\)\u306e\u4f4d\u7f6e\u306b\u3042\u308b\u30dc\u30fc\u30eb\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\\(-mgh&#8217;\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje7.jpg\" alt=\"\" width=\"567\" height=\"350\" class=\"aligncenter size-full wp-image-9242\" \/><\/p>\n<p>\u4e00\u65b9\u3001\u30d3\u30eb\u306e\u5c4b\u4e0a\u3067\u306f\u306a\u304f\u3001\u5730\u4e0a\u3092\u57fa\u6e96\u3068\u3059\u308b\u5834\u5408\u3001\u5730\u4e0a\u304b\u3089\u30dc\u30fc\u30eb\u307e\u3067\u306e\u8ddd\u96e2\u304c\\(h\\)\u306a\u306e\u3067\u3042\u308c\u3070\u3001\u30dc\u30fc\u30eb\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\\(mgh\\)\u3067\u3059\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u3069\u3053\u3092\u57fa\u6e96\u306b\u3059\u308b\u306e\u304b\u306b\u3088\u3063\u3066\u3001\u7b26\u53f7\u304c\u30d7\u30e9\u30b9\u306b\u306a\u3063\u305f\u308a\u30de\u30a4\u30ca\u30b9\u306b\u306a\u3063\u305f\u308a\u3057\u307e\u3059\u3002<\/span>\u305d\u306e\u305f\u3081\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u3067\u3042\u308b\u3053\u3068\u306b\u4f55\u304b\u554f\u984c\u304c\u3042\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4e07\u6709\u5f15\u529b\u3067\u306f\u3069\u3053\u3092\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u57fa\u6e96\u3068\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #0000ff;\">\u4e07\u6709\u5f15\u529b\u3067\u306f\u3001\u4e00\u822c\u7684\u306b\u7121\u9650\u9060\u221e\uff08\u3080\u3052\u3093\u3048\u3093\uff1a\u7121\u9650\u306b\u9060\u3044\u5834\u6240\uff09\u3092\u57fa\u6e96\u70b9\u3068\u3057\u30660\u306b\u3057\u3066\u3044\u308b\u5834\u5408\u304c\u307b\u3068\u3093\u3069\u3067\u3059\u3002<\/span>\u7121\u9650\u9060\u3092\u57fa\u6e96\u306b\u3057\u3066\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u30920\u306b\u3059\u308b\u5834\u5408\u3001\u5fc5\u305a\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u306e\u3067\u8a08\u7b97\u304c\u697d\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje8.jpg\" alt=\"\" width=\"600\" height=\"224\" class=\"aligncenter size-full wp-image-9243\" \/><\/p>\n<p>\u306a\u304a\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u57fa\u6e96\u70b9\u3092\u7121\u9650\u9060\u221e\u3067\u306f\u306a\u304f\u3001\u307b\u304b\u306e\u5834\u6240\u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u30d7\u30e9\u30b9\u306b\u306a\u3063\u305f\u308a\u3001\u30de\u30a4\u30ca\u30b9\u306b\u306a\u3063\u305f\u308a\u3057\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u5730\u7403\u306e\u4e2d\u5fc3\u3092\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u57fa\u6e96\u306b\u3059\u308b\u5834\u5408\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u7121\u9650\u5927\u306b\u5927\u304d\u304f\u306a\u308b\u305f\u3081\u90fd\u5408\u304c\u60aa\u3044\u3067\u3059\u3002\u5b87\u5b99\u306f\u5e83\u3044\u305f\u3081\u3001\u5730\u7403\u304b\u3089\u96e2\u308c\u308b\u306b\u5f93\u3063\u3066\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u7121\u9650\u306b\u5927\u304d\u304f\u306a\u308a\u3001\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u4e0d\u90fd\u5408\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u7121\u9650\u9060\u3092\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u57fa\u6e96\u306b\u3057\u3066\u3001\u7121\u9650\u9060\u3088\u308a\u3082\u8fd1\u3044\u5834\u6240\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u7121\u9650\u5927\u306b\u5927\u304d\u304f\u306a\u308b\u306e\u3092\u907f\u3051\u3001\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306e\u3067\u3059\u3002\u7121\u9650\u9060\u3092\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u57fa\u6e96\u306b\u3059\u308b\u306e\u306f\u3053\u3046\u3057\u305f\u7406\u7531\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h3>\u7a4d\u5206\u3092\u7528\u3044\u308b\u4e07\u6709\u5f15\u529b\u3067\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5c0e\u51fa<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u516c\u5f0f\u3092\u5c0e\u304d\u51fa\u3059\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u7a4d\u5206\u3092\u5229\u7528\u3059\u308b\u305f\u3081\u3001\u3053\u306e\u90e8\u5206\u3092\u8aad\u307f\u98db\u3070\u3057\u3001\u516c\u5f0f\u3067\u3042\u308b\\(U=-G\\displaystyle\\frac{mM}{r}\\)\u3092\u6697\u8a18\u3057\u3066\u3082\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u305f\u3060\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u516c\u5f0f\u3092\u51fa\u3059\u3068\u304d\u3001\u9ad8\u6821\u6570\u5b66\u3067\u5b66\u3076\u7a4d\u5206\u306e\u521d\u6b69\u3092\u5b66\u3093\u3067\u3044\u308c\u3070\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u7a4d\u5206\u3092\u5b66\u3093\u3060\u3053\u3068\u304c\u3042\u308b\u5834\u5408\u3001\u5168\u54e1\u304c\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u516c\u5f0f\u3092\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3044\u3046\u306e\u306f\u3001\u8981\u306f\u4ed5\u4e8b\u3068\u610f\u5473\u304c\u540c\u3058\u3067\u3059\u3002\u4ed5\u4e8b\\(W\\)\u306f\u529b\u306e\u5927\u304d\u3055\\(F\\)\u3068\u8ddd\u96e2\\(x\\)\u306e\u304b\u3051\u7b97\u306b\u3088\u308a\u3001\\(W=Fx\\)\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\\(mg\\)\u306e\u529b\uff08\u91cd\u529b\uff09\u3092\u3082\u3064\u7269\u4f53\u3092\u9ad8\u3055\\(h\\)\u306e\u5834\u6240\u306b\u3082\u3063\u3066\u3044\u304f\u305f\u3081\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\\(mgh\\)\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3064\u307e\u308a\u3001\u6a2a\u8ef8\u3092\u8ddd\u96e2\\(x\\)\u3001\u305f\u3066\u8ef8\u3092\u529b\u306e\u5927\u304d\u3055\\(F\\)\u3068\u3059\u308b\u3068\u304d\u3001\u9762\u7a4d\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u306e\u3068\u610f\u5473\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje10.jpg\" alt=\"\" width=\"418\" height=\"278\" class=\"aligncenter size-full wp-image-9245\" \/><\/p>\n<p>\u305d\u3053\u3067\u540c\u3058\u3088\u3046\u306b\u3001\u4e07\u6709\u5f15\u529b\u306b\u3064\u3044\u3066\u4ed5\u4e8b\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5730\u7403\uff08\u8cea\u91cf\\(M\\)\uff09\u304b\u3089\\(r\\)\u306e\u4f4d\u7f6e\u306b\u3042\u308b\u8cea\u91cf\\(m\\)\u306e\u7269\u4f53\u306b\u306f\u3001\\(F=G\\displaystyle\\frac{mM}{r^2}\\)\u306e\u5f15\u529b\u304c\u50cd\u3044\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(F=G\\displaystyle\\frac{mM}{r^2}\\)\u306b\u9006\u3089\u3044\u306a\u304c\u3089\u7121\u9650\u9060\u307e\u3067\u3082\u3063\u3066\u3044\u304f\u5834\u5408\u306e\u4ed5\u4e8b\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305f\u3060\u4e07\u6709\u5f15\u529b\u306e\u5927\u304d\u3055\u306f\u5730\u7403\u3068\u306e\u8ddd\u96e2\\(r\\)\u306b\u3088\u3063\u3066\u5909\u5316\u3057\u307e\u3059\u3002\u7121\u9650\u9060\u306b\u8fd1\u3065\u304f\u307b\u3069\u4e07\u6709\u5f15\u529b\u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u540c\u3058\u8ddd\u96e2\u3092\u79fb\u52d5\u3059\u308b\u306b\u3057\u3066\u3082\u3001\u5730\u7403\u304b\u3089\u9060\u304f\u306a\u308b\u306b\u5f93\u3063\u3066\u4ed5\u4e8b\u91cf\u304c\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u7a4d\u5206\u3092\u3057\u307e\u3057\u3087\u3046\u3002\\(r\\)\u304b\u3089\u7121\u9650\u5927\u307e\u3067\u306e\\(x\\)\u8ef8\u306b\u3064\u3044\u3066\u3001\\(F=G\\displaystyle\\frac{mM}{r^2}\\)\u306b\u3088\u3063\u3066\u56f2\u307e\u308c\u308b\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u306e\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4ed5\u4e8b\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje11.jpg\" alt=\"\" width=\"492\" height=\"272\" class=\"aligncenter size-full wp-image-9246\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(W=\\displaystyle \\int_{r}^{\\infty} G\\displaystyle\\frac{mM}{r^2} dr\\)<\/p>\n<p>\\(=GmM \\displaystyle \\int_{r}^{\\infty} \\displaystyle\\frac{1}{r^2} dr\\)<\/p>\n<p>\\(=GmM \\displaystyle \\int_{r}^{\\infty} r^{-2} dr\\)<\/p>\n<p>\\(=GmM \\left[ \\displaystyle\\frac{1}{-2+1}r^{(-2+1)} \\right]_r^{\\infty}\\)<\/p>\n<p>\\(=GmM \\left[ -\\displaystyle\\frac{1}{r} \\right]_r^{\\infty}\\)<\/p>\n<p>\\(=GmM \\left(0+\\displaystyle\\frac{1}{r}\\right)\\)<\/p>\n<p>\\(=G\\displaystyle\\frac{mM}{r}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5730\u7403\u304b\u3089\u306e\u8ddd\u96e2\\(r\\)\u304b\u3089\u7121\u9650\u9060\u307e\u3067\u7269\u4f53\u3092\u3082\u3063\u3066\u3044\u304f\u305f\u3081\u306b\u5fc5\u8981\u306a\u4ed5\u4e8b\u306f\\(W=G\\displaystyle\\frac{mM}{r}\\)\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\u306a\u304a\u524d\u8ff0\u306e\u901a\u308a\u3001\u57fa\u6e96\u70b9\u306f\u7121\u9650\u9060\u3067\u3059\u3002\u305d\u306e\u305f\u3081\\(r\\)\u306e\u4f4d\u7f6e\u306b\u3042\u308b\u7269\u4f53\u306f\u7121\u9650\u9060\u306b\u5bfe\u3057\u3066\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\\(G\\displaystyle\\frac{mM}{r}\\)\u306e\u5206\u3060\u3051\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(U=-G\\displaystyle\\frac{mM}{r}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u3068\u8aac\u660e\u3057\u3066\u3044\u308b\u6559\u79d1\u66f8\u306f\u591a\u3044\u3082\u306e\u306e\u3001\u7406\u7531\u306f\u8a73\u3057\u304f\u89e3\u8aac\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u306a\u305c\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308a\u3001\u3069\u306e\u3088\u3046\u306b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u516c\u5f0f\u3092\u5c0e\u51fa\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3059\u308b\u4e07\u6709\u5f15\u529b\u3067\u306e\u7df4\u7fd2\u554f\u984c<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u4e07\u6709\u5f15\u529b\u306b\u3088\u308b\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5229\u7528\u3059\u308b\u3068\u3044\u3046\u306e\u306f\u3001\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u5730\u7403\u306e\u534a\u5f84\u3092\\(r\\)\u3001\u91cd\u529b\u52a0\u901f\u5ea6\u3092\\(g\\)\u3068\u3057\u307e\u3059\u3002\u5730\u8868\u304b\u3089\u6253\u3061\u4e0a\u3052\u305f\u7269\u4f53\u304c\u518d\u3073\u623b\u3063\u3066\u3053\u306a\u3044\u305f\u3081\u306b\u5fc5\u8981\u306a\u521d\u901f\u5ea6\\(v_0\\)\u306b\u3064\u3044\u3066\u3001\\(r\\)\u3068\\(g\\)\u3092\u5229\u7528\u3057\u3066\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u7269\u4f53\u3092\u6253\u3061\u4e0a\u3052\u305f\u5f8c\u306e\u901f\u3055\u3092\\(v\\)\u3068\u3059\u308b\u3068\u304d\u3001\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{2}mv_0^2-G\\displaystyle\\frac{mM}{r}=\\displaystyle\\frac{1}{2}mv^2\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/08\/kfje12.jpg\" alt=\"\" width=\"600\" height=\"237\" class=\"aligncenter size-full wp-image-9248\" \/><\/p>\n<p>\u7121\u9650\u9060\u306b\u7269\u4f53\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u30bc\u30ed\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u306e\u901f\u3055\u306f\\(v\\)\u3067\u3042\u308b\u305f\u3081\u3001\u7269\u4f53\u306f\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u307f\u4fdd\u6709\u3057\u3066\u3044\u307e\u3059\u3002\u4e00\u65b9\u3001\u5730\u8868\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u306f\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u30de\u30a4\u30ca\u30b9\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u4e21\u65b9\u3092\u3082\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f<span style=\"color: #0000ff;\">\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3088\u308a\u3082\u9ad8\u3044\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3067\u6253\u3061\u4e0a\u3052\u308b\u3068\u3001\u7121\u9650\u9060\u306e\u3068\u304d\u306b\u7269\u4f53\u306f\u901f\u3055\\(v\\)\u3067\u5730\u7403\u304b\u3089\u9060\u3056\u304b\u308b\u305f\u3081\u3001\u5730\u8868\u306b\u623b\u3063\u3066\u304f\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p>\u7121\u9650\u9060\u306e\u3068\u304d\u306b\u7269\u4f53\u304c\u901f\u3055\\(v\\)\u3068\u306a\u308b\u6761\u4ef6\u306f\u5148\u307b\u3069\u306e\u5f0f\u3088\u308a\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{2}mv_0^2-G\\displaystyle\\frac{mM}{r}=\\displaystyle\\frac{1}{2}mv^2\u22670\\)<\/p>\n<p>\u3064\u307e\u308a\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{1}{2}mv_0^2-G\\displaystyle\\frac{mM}{r}\u22670\\)<\/p>\n<p>\\(v_0^2\u22672G\\displaystyle\\frac{M}{r}\\)<\/p>\n<p>\\(v_0\u2267\\sqrt{\\displaystyle\\frac{2GM}{r}}\\) \uff08\\(v_0&gt;0\\)\uff09<\/p>\n<p>\u306a\u304a\u307b\u304b\u306e\u7df4\u7fd2\u554f\u984c\u3067\u89e3\u8aac\u3057\u305f\u901a\u308a\u3001\u5730\u8868\u3067\u306e\u91cd\u529b\u306b\u3088\u308b\u5f71\u97ff\\(mg\\)\u3068\u4e07\u6709\u5f15\u529b\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\\(mg=G\\displaystyle\\frac{mM}{r^2}\\)<\/p>\n<p>\\(G=\\displaystyle\\frac{gr^2}{M}\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\\(G=\\displaystyle\\frac{gr^2}{M}\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(v_0\u2267\\sqrt{\\displaystyle\\frac{2GM}{r}}\\)<\/p>\n<p>\\(v_0\u2267\\sqrt{2gr}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u521d\u901f\u5ea6\u304c\\(v_0\u2267\\sqrt{2gr}\\)\u306e\u3068\u304d\u3001\u7269\u4f53\u306f\u518d\u3073\u5730\u8868\u306b\u623b\u308b\u3053\u3068\u306a\u304f\u3001\u5b87\u5b99\u7a7a\u9593\u3092\u9032\u3080\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u4e07\u6709\u5f15\u529b\u306e\u516c\u5f0f\u3092\u899a\u3048\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b<\/h2>\n<p>\u3059\u3079\u3066\u306e\u7269\u4f53\u306b\u4e07\u6709\u5f15\u529b\u304c\u5b58\u5728\u3059\u308b\u3082\u306e\u306e\u3001\u4eba\u9593\u3092\u542b\u3081\u8efd\u3044\u7269\u4f53\u540c\u58eb\u3067\u4e07\u6709\u5f15\u529b\u3092\u611f\u3058\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u306f\u60d1\u661f\u3084\u885b\u661f\u3001\u5f57\u661f\u306a\u3069\u5b87\u5b99\u7a7a\u9593\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u4e07\u6709\u5f15\u529b\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u30012\u3064\u306e\u7269\u4f53\u306e\u8cea\u91cf\u3092\u304b\u3051\u3001\u8ddd\u96e2\u306e2\u4e57\u3067\u5272\u308a\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306b\u3088\u308a\u30012\u3064\u306e\u7269\u4f53\u306b\u50cd\u304f\u529b\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u4e07\u6709\u5f15\u529b\u3092\u5b66\u3076\u3068\u304d\u3001\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5229\u7528\u3057\u3066\u5f0f\u3092\u4f5c\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u30b1\u30fc\u30b9\u304c\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u3002\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u5229\u7528\u3057\u3066\u5f0f\u3092\u4f5c\u308b\u306e\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u306a\u305c\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u30de\u30a4\u30ca\u30b9\u306b\u306a\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5b87\u5b99\u304c\u95a2\u308f\u308b\u5b66\u554f\u306b\u4e07\u6709\u5f15\u529b\u304c\u3042\u308a\u307e\u3059\u3002\u8ecc\u9053\u306e\u8a08\u7b97\u3084\u30ed\u30b1\u30c3\u30c8\u306e\u901f\u5ea6\u3001\u4eba\u5de5\u885b\u661f\u306e\u6253\u3061\u4e0a\u3052\u3067\u306f\u3053\u3046\u3057\u305f\u77e5\u8b58\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u529b\u5b66\u306e\u8a08\u7b97\u306f\u5b87\u5b99\u3067\u5fc5\u9808\u3067\u3042\u308a\u3001\u3053\u308c\u3089\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3059\u3079\u3066\u306e\u7269\u4f53\u304c\u53d7\u3051\u308b\u529b\u306b\u4e07\u6709\u5f15\u529b\u304c\u3042\u308a\u307e\u3059\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u304c\u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u3092\u767a\u898b\u3057\u305f\u3053\u3068\u3067\u6709\u540d\u3067\u3059\u3002 \u4e07\u6709\u5f15\u529b\u306e\u6cd5\u5247\u306f\u4e3b\u306b\u5b87\u5b99\u7a7a\u9593\u3067\u306e\u529b\u5b66\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u4eba\u9593\u306e\u3088\u3046\u306b\u3001\u8efd\u3044\u7269\u4f53\u306b\u50cd\u304f\u4e07\u6709\u5f15\u529b\u306e\u5f71\u97ff\u306f\u975e\u5e38\u306b\u5c0f\u3055\u3044\u3067\u3059\u3002\u305d\u306e\u305f\u3081 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":9249,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"class_list":{"0":"post-9226","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics-2"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/9226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=9226"}],"version-history":[{"count":12,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/9226\/revisions"}],"predecessor-version":[{"id":9619,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/9226\/revisions\/9619"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/9249"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=9226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=9226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=9226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}