{"id":2317,"date":"2019-09-05T07:55:35","date_gmt":"2019-09-05T07:55:35","guid":{"rendered":"https:\/\/soniuch.net\/?p=2317"},"modified":"2019-09-05T07:55:35","modified_gmt":"2019-09-05T07:55:35","slug":"%d0%bc%d0%b5%d1%85%d0%b0%d0%bd%d0%b8%d0%ba-%d0%ba%d0%b8%d0%bd%d0%b5%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b8%d0%b9%d0%bd-%d0%b1%d0%be%d0%b4%d0%bb%d0%be%d0%b3%d0%be","status":"publish","type":"post","link":"https:\/\/soniuch.net\/?p=2317","title":{"rendered":"\u041c\u0435\u0445\u0430\u043d\u0438\u043a: \u041a\u0438\u043d\u0435\u043c\u0430\u0442\u0438\u043a\u0438\u0439\u043d \u0431\u043e\u0434\u043b\u043e\u0433\u043e"},"content":{"rendered":"<p>\u04e8\u043d\u0434\u04e9\u0440 \u0446\u0430\u043c\u0445\u0430\u0433 \u0434\u044d\u044d\u0440\u044d\u044d\u0441 \u0447\u0443\u043b\u0443\u0443\u0433 \u0445\u044d\u0432\u0442\u044d\u044d \u0447\u0438\u0433\u0442 $\\upsilon_0=20\u043c\/\u0441$ \u0445\u0443\u0440\u0434\u0442\u0430\u0439 \u0448\u0438\u0434\u044d\u0432. \u042f\u043c\u0430\u0440 \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u043d\u044b \u0434\u0430\u0440\u0430\u0430 \u0447\u0443\u043b\u0443\u0443\u043d\u044b \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 \u043d\u044c 3 \u0434\u0430\u0445\u0438\u043d \u0438\u0445 \u0431\u043e\u043b\u043e\u0445 \u0432\u044d? \u0425\u04af\u043d\u0434\u0438\u0439\u043d \u0445\u04af\u0447\u043d\u0438\u0439 \u0445\u0443\u0440\u0434\u0430\u0442\u0433\u0430\u043b $g=9.81\u043c\/\u0441^2$ \u0431\u043e\u043b\u043d\u043e.<\/p>\n<p>&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/p>\n<p>\u04e8\u0433\u0441\u04e9\u043d \u043d\u044c:<\/p>\n<p>$\\upsilon_0=20\u043c\/\u0441$<\/p>\n<p>$g=9.81\u043c\/\u0441^2$<\/p>\n<p>$E\/E_0=3$<\/p>\n<p>&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-<\/p>\n<p>\u041e\u043b\u043e\u0445 \u043d\u044c $t=?$<\/p>\n<p>\u0411\u043e\u0434\u043e\u043b\u0442:<\/p>\n<p>\u042d\u0445\u043b\u044d\u044d\u0434 \u0448\u0438\u0434\u044d\u0445 \u04af\u0435\u0438\u0439\u043d \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 $E_0$&#8211;\u0438\u0439\u0433 \u043e\u043b\u044a\u0451.<\/p>\n<p>$$E_0 = \\frac{m \\upsilon_0^2}{2}$$<\/p>\n<p>\u0425\u0443\u0433\u0430\u0446\u0430\u0430 \u04e9\u043d\u0433\u04e9\u0440\u04e9\u0445 \u0442\u0443\u0442\u0430\u043c \u0447\u0443\u043b\u0443\u0443\u043d\u044b \u0434\u043e\u043e\u0448\u043e\u043e \u0447\u0438\u0433\u043b\u044d\u0441\u044d\u043d \u0445\u0443\u0440\u0434 \u0445\u04af\u043d\u0434\u0438\u0439\u043d \u0445\u04af\u0447\u043d\u0438\u0439 \u04af\u0439\u043b\u0447\u043b\u044d\u043b\u044d\u044d\u0440 \u043d\u044d\u043c\u044d\u0433\u0434\u044d\u0445 \u0442\u0443\u043b \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 \u043d\u044c \u0447 \u043c\u04e9\u043d \u043d\u044d\u043c\u044d\u0433\u0434\u044d\u043d\u044d. \u042d\u0445\u043d\u0438\u0439 \u0430\u0433\u0448\u0438\u043d\u0434 \u0447\u0443\u043b\u0443\u0443 \u0437\u04e9\u0432\u0445\u04e9\u043d \u0445\u044d\u0432\u0442\u044d\u044d \u0447\u0438\u0433\u0442 \u0445\u0443\u0440\u0434\u0442\u0430\u0439 \u0431\u0430\u0439\u0441\u0430\u043d \u0431\u043e\u043b \u0442\u04af\u04af\u043d\u044d\u044d\u0441 \u0445\u043e\u0439\u0448 \u0431\u043e\u0441\u043e\u043e \u0431\u043e\u043b\u043e\u043d \u0445\u044d\u0432\u0442\u044d\u044d \u0442\u044d\u043d\u0445\u043b\u044d\u0433\u0438\u0439\u043d \u0430\u043b\u044c \u0430\u043b\u0438\u043d\u044b\u0445 \u043d\u044c \u0434\u0430\u0433\u0443\u0443\u0434 \u0445\u0443\u0440\u0434\u0442\u0430\u0439 \u0431\u043e\u043b\u043d\u043e. \u0418\u043d\u0433\u044d\u044d\u0434 $t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u043d\u044b \u0434\u0430\u0440\u0430\u0430 \u0447\u0443\u043b\u0443\u0443\u043d\u044b \u0445\u0443\u0440\u0434 \u043d\u044c \u0431\u043e\u0441\u043e\u043e \u0442\u044d\u043d\u0445\u043b\u044d\u0433\u0438\u0439\u043d \u0434\u0430\u0433\u0443\u0443\u0445 \u0445\u0443\u0440\u0434 $\\upsilon_y$ \u0431\u0430 \u0445\u044d\u0432\u0442\u044d\u044d \u0442\u044d\u043d\u0445\u043b\u044d\u0433\u0438\u0439\u043d \u0434\u0430\u0433\u0443\u0443\u0445 \u0445\u0443\u0440\u0434 $\\upsilon_x$&#8211;\u0438\u0439\u043d \u043d\u0438\u0439\u043b\u0431\u044d\u0440\u044d\u044d\u0440 \u0442\u043e\u0434\u043e\u0440\u0445\u043e\u0439\u043b\u043e\u0433\u0434\u043e\u043d\u043e.<\/p>\n<p>$$\\vec{\\upsilon} =\\vec{i} \\upsilon_x + \\vec{j} \\upsilon_y$$<\/p>\n<p>$\\vec{i}$ \u0431\u0430 $\\vec{j}$ \u043d\u044c \u0445\u0430\u0440\u0433\u0430\u043b\u0437\u0430\u043d \u0445\u044d\u0432\u0442\u044d\u044d \u0431\u0430 \u0431\u043e\u0441\u043e\u043e \u0442\u044d\u043d\u0445\u043b\u044d\u0433\u0438\u0439\u043d \u0434\u0430\u0433\u0443\u0443\u0445 \u043d\u044d\u0433\u0436 \u0432\u0435\u043a\u0442\u043e\u0440\u0443\u0443\u0434 \u044e\u043c. \u0411\u0438\u0434 \u044d\u043d\u0435\u0440\u0433\u0438\u0439\u0433 \u043e\u043b\u043e\u0445 \u0433\u044d\u0436 \u0431\u0430\u0439\u0433\u0430\u0430 \u0442\u0443\u043b \u0445\u0443\u0440\u0434\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440 \u0431\u0438\u0448 \u0445\u0430\u0440\u0438\u043d \u0445\u0443\u0440\u0434\u043d\u044b \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u044b\u043d \u0443\u0442\u0433\u0430 \u0445\u044d\u0440\u044d\u0433\u0442\u044d\u0439. \u041f\u0438\u0444\u0430\u0433\u043e\u0440\u044b\u043d \u0442\u0435\u043e\u0440\u0435\u043c\u0438\u0439\u0433 \u0445\u044d\u0440\u044d\u0433\u043b\u044d\u0432\u044d\u043b:<\/p>\n<p>$$\\upsilon^2=\\upsilon_x^2+\\upsilon_y^2$$<\/p>\n<p>\u0425\u044d\u0432\u0442\u044d\u044d \u0442\u044d\u043d\u0445\u043b\u044d\u0433\u0438\u0439\u043d \u0434\u0430\u0433\u0443\u0443\u0434 \u0445\u04af\u0447 \u04af\u0439\u043b\u0447\u043b\u044d\u044d\u0433\u04af\u0439 \u0442\u0443\u043b $t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u043d\u044b \u0434\u0430\u0440\u0430\u0430\u0445 \u0445\u0443\u0440\u0434 \u043d\u044c $\\upsilon_x = \\upsilon_0$ \u0431\u0430\u0439\u043d\u0430.<\/p>\n<p style=\"text-align: justify;\">\u0411\u043e\u0441\u043e\u043e \u0447\u0438\u0433\u043b\u044d\u043b\u0434 \u0445\u04af\u043d\u0434\u0438\u0439\u043d \u0445\u04af\u0447 \u04af\u0439\u043b\u0447\u043b\u044d\u0445 \u0442\u0443\u043b \u0445\u0443\u0440\u0434 \u043d\u044c \u0430\u043d\u0445 0 \u0431\u0430\u0439\u0441\u043d\u0430\u0430 \u043d\u044d\u043c\u044d\u0433\u0434\u0441\u044d\u044d\u0440 $t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u043d\u044b \u0434\u0430\u0440\u0430\u0430 $\\upsilon_y=gt$ \u0431\u043e\u043b\u043d\u043e.<\/p>\n<p>\u0425\u044d\u0440\u044d\u0432 \u044d\u043d\u044d \u0437\u04af\u0439\u043b \u043e\u0439\u043b\u0433\u043e\u043c\u0436\u0433\u04af\u0439 \u0431\u0430\u0439\u0432\u0430\u043b \u0434\u043e\u043e\u0440 \u0431\u0430\u0439\u0433\u0430\u0430 \u0432\u0438\u0434\u0435\u043e \u0431\u0438\u0447\u043b\u044d\u0433\u0438\u0439\u0433 \u04af\u0437\u043d\u044d \u04af\u04af.<\/p>\n<p>\u0418\u043d\u0433\u044d\u044d\u0434<\/p>\n<p>$$\\upsilon^2=\\upsilon_x^2+\\upsilon_y^2 =\\upsilon_0^2+{(gt)}^2$$<\/p>\n<p>$t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u043d\u044b \u0434\u0430\u0440\u0430\u0430 \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 \u043d\u044c:<\/p>\n<p>$$E=\\frac{m\\upsilon^2}{2} = \\frac{m(\\upsilon_0^2+{(gt)}^2)}{2}$$<\/p>\n<p>\u0411\u043e\u0434\u043b\u043e\u0433\u044b\u043d \u043d\u04e9\u0445\u0446\u04e9\u043b \u0451\u0441\u043e\u043e\u0440:<\/p>\n<p>$$\\frac{E}{E_0} = \\frac{\\frac{m(\\upsilon_0^2+{(gt)}^2)}{2}}{\\frac{m \\upsilon_0^2}{2}} = 3$$<\/p>\n<p>\u042d\u043d\u0434\u044d\u044d\u0441<\/p>\n<p>$$\\frac{m(\\upsilon_0^2+{(gt)}^2)}{2} = 3\\frac{m \\upsilon_0^2}{2}$$<\/p>\n<p>\u0431\u0443\u044e\u0443<\/p>\n<p>$$\\upsilon_0^2+{(gt)}^2 = 3 \\cdot \\upsilon_0^2$$ \u0431\u043e\u043b\u043d\u043e. \u0425\u0443\u0433\u0430\u0446\u0430\u0430\u0433 \u043e\u043b\u0431\u043e\u043b:<\/p>\n<p>$$t =\\sqrt{2} \\cdot \\upsilon_0\/g \\approx 2.88\u0441\u0435\u043a$$<\/p>\n<p>2.88\u0441\u0435\u043a-\u0438\u0439\u043d \u0434\u0430\u0440\u0430\u0430 \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 \u043d\u044c 3 \u0434\u0430\u0445\u0438\u043d \u043d\u044d\u043c\u044d\u0433\u0434\u044d\u043d\u044d.<\/p>\n<p>&nbsp;<\/p>\n<p><iframe loading=\"lazy\" title=\"How are horizontal and vertical motion connected: from fizzics.org\" width=\"980\" height=\"551\" src=\"https:\/\/www.youtube.com\/embed\/NJ0ptu9koYk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u04e8\u043d\u0434\u04e9\u0440 \u0446\u0430\u043c\u0445\u0430\u0433 \u0434\u044d\u044d\u0440\u044d\u044d\u0441 \u0447\u0443\u043b\u0443\u0443\u0433 \u0445\u044d\u0432\u0442\u044d\u044d \u0447\u0438\u0433\u0442 $\\upsilon_0=20\u043c\/\u0441$ \u0445\u0443\u0440\u0434\u0442\u0430\u0439 \u0448\u0438\u0434\u044d\u0432. \u042f\u043c\u0430\u0440 \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u043d\u044b \u0434\u0430\u0440\u0430\u0430 \u0447\u0443\u043b\u0443\u0443\u043d\u044b \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 \u043d\u044c 3 \u0434\u0430\u0445\u0438\u043d \u0438\u0445 \u0431\u043e\u043b\u043e\u0445 \u0432\u044d? \u0425\u04af\u043d\u0434\u0438\u0439\u043d \u0445\u04af\u0447\u043d\u0438\u0439 \u0445\u0443\u0440\u0434\u0430\u0442\u0433\u0430\u043b $g=9.81\u043c\/\u0441^2$ \u0431\u043e\u043b\u043d\u043e. &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212; \u04e8\u0433\u0441\u04e9\u043d \u043d\u044c: $\\upsilon_0=20\u043c\/\u0441$ $g=9.81\u043c\/\u0441^2$ $E\/E_0=3$ &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;- \u041e\u043b\u043e\u0445 \u043d\u044c $t=?$ \u0411\u043e\u0434\u043e\u043b\u0442: \u042d\u0445\u043b\u044d\u044d\u0434 \u0448\u0438\u0434\u044d\u0445 \u04af\u0435\u0438\u0439\u043d \u043a\u0438\u043d\u0435\u0442\u0438\u043a \u044d\u043d\u0435\u0440\u0433\u0438 $E_0$&#8211;\u0438\u0439\u0433 \u043e\u043b\u044a\u0451. $$E_0 = \\frac{m \\upsilon_0^2}{2}$$ \u0425\u0443\u0433\u0430\u0446\u0430\u0430 \u04e9\u043d\u0433\u04e9\u0440\u04e9\u0445 \u0442\u0443\u0442\u0430\u043c \u0447\u0443\u043b\u0443\u0443\u043d\u044b \u0434\u043e\u043e\u0448\u043e\u043e \u0447\u0438\u0433\u043b\u044d\u0441\u044d\u043d \u0445\u0443\u0440\u0434&#8230; <a class=\"read-more\" href=\"https:\/\/soniuch.net\/?p=2317\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[24],"tags":[],"class_list":["post-2317","post","type-post","status-publish","format-standard","hentry","category-kinematicsproblem"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/posts\/2317","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2317"}],"version-history":[{"count":0,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/posts\/2317\/revisions"}],"wp:attachment":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2317"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2317"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2317"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}