{"id":6997,"date":"2014-12-11T20:21:12","date_gmt":"2014-12-11T20:21:12","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=6997"},"modified":"2018-01-27T22:46:06","modified_gmt":"2018-01-27T22:46:06","slug":"physics-dilution-of-gravity","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/physics-dilution-of-gravity\/","title":{"rendered":"Physics:  dilution of gravity"},"content":{"rendered":"<h1>Tutoring physics, gravity is perennial.\u00a0The tutor explains the dilution of gravity that occurs on a slope.<\/h1>\n<p>Everyone knows that a ball rolls more slowly down a slope than if it falls straight down. The gentler the slope, the more slowly the ball rolls.<\/p>\n<p>Yet, a physicist would never be comfortable with just that knowledge.  &#8220;<em>How<\/em> fast does it accelerate at a given steepness?&#8221; the physicist would ask.  They always need a number.<\/p>\n<p>Well, in this case, coming up with the number is relatively easy.  First of all, we need to agree that the straight-down acceleration due to gravity on Earth, called g, has the following value:<\/p>\n<p>g=-9.8m\/s<sup>2<\/sup><\/p>\n<p>where the negative sign just means &#8220;down&#8221; (positive means up).<\/p>\n<p>Now, let&#8217;s examine this slope:<\/p>\n<p><img decoding=\"async\" src=\"\/..\/gravdil0.png\" style=\"display:block;margin-left:auto;margin-right:auto\"\/><\/p>\n<p>The acceleration due to gravity, down this slope, will be<\/p>\n<p>a=g(h\/L) = -9.8*(h\/L)m\/s<sup>2<\/sup><\/p>\n<p><strong>Example 1<\/strong>:  Imagine a slope 7m long that rises 3m.  What is the acceleration due to gravity down this slope?<\/p>\n<p><strong>Solution<\/strong>:  First, we draw a diagram, as below:<\/p>\n<p><img decoding=\"async\" src=\"\/..\/gravdil1.png\" style=\"display:block;margin-left:auto;margin-right:auto\"\/><\/p>\n<p>Now we invoke the dilution formula:<\/p>\n<p>a=g(h\/L)=-9.8*3\/7=-4.2m\/s<sup>2<\/sup><\/p>\n<p>Of course, the dilution formula doesn&#8217;t consider friction; the actual acceleration will be slower with the effect of friction.<\/p>\n<p>Hope this helps:)<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tutoring physics, gravity is perennial.\u00a0The tutor explains the dilution of gravity that occurs on a slope. Everyone knows that a ball rolls more slowly down a slope than if it falls straight down. The gentler the slope, the more slowly &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/physics-dilution-of-gravity\/\"> <span class=\"screen-reader-text\">Physics:  dilution of gravity<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[346,344,345],"class_list":["post-6997","post","type-post","status-publish","format-standard","hentry","category-physics","tag-acceleration-due-to-gravity-down-a-slope","tag-dilution-of-gravity","tag-gravity-on-a-slope"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6997","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=6997"}],"version-history":[{"count":14,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6997\/revisions"}],"predecessor-version":[{"id":28845,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6997\/revisions\/28845"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=6997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=6997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=6997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}