{"id":5115,"date":"2026-05-21T10:06:46","date_gmt":"2026-05-21T10:06:46","guid":{"rendered":"https:\/\/diznr.com\/?p=5115"},"modified":"2026-05-22T05:16:07","modified_gmt":"2026-05-22T05:16:07","slug":"physics-unit-and-dimension-gravitation-notes-pdf-download","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/physics-unit-and-dimension-gravitation-notes-pdf-download\/","title":{"rendered":"Physics Unit and Dimension Gravitation Notes Pdf Download"},"content":{"rendered":"<div id=\"pl-5115\" class=\"panel-layout\">\n<div id=\"pg-5115-0\" class=\"panel-grid panel-no-style\">\n<div id=\"pgc-5115-0-0\" class=\"panel-grid-cell\" data-weight=\"1\">\n<div id=\"panel-5115-0-0-0\" class=\"so-panel widget widget_black-studio-tinymce widget_black_studio_tinymce panel-first-child panel-last-child\" data-index=\"0\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\">\n<div class=\"textwidget\">\n<p>The gravitational constant (also known as the universal gravitational constant, the Newtonian constant of gravity, or the Cavendish gravitational constant), denoted by the letter G, is an empirical physical constant that is defined in Sir Isaac Newton&#8217;s law of universal gravitational effects. included in the calculation. In Gravity and Albert Einstein&#8217;s General Theory of Relativity.<\/p>\n<p>Each measurement has two parts. The first one is a number (n) and the next one is a unit (u). Q = no. For example, length of an object = 40 cm. A number expressing the magnitude of a physical quantity is inversely proportional to the chosen unit.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"pg-5115-1\" class=\"panel-grid panel-no-style\">\n<div id=\"pgc-5115-1-0\" class=\"panel-grid-cell\" data-weight=\"1\">\n<div id=\"panel-5115-1-0-1\" class=\"so-panel widget widget_black-studio-tinymce widget_black_studio_tinymce panel-last-child\" data-index=\"2\" data-style=\"{&quot;background_image_attachment&quot;:false,&quot;background_display&quot;:&quot;tile&quot;}\">\n<div class=\"textwidget\">\n<p data-start=\"0\" data-end=\"224\">Understanding the concepts of Units and Dimensions, as well as Gravitation, is fundamental in physics. Here are some reputable resources that provide comprehensive notes on these topics, available for download in PDF format:<\/p>\n<p data-start=\"226\" data-end=\"251\"><strong data-start=\"226\" data-end=\"250\">Units and Dimensions<\/strong>:<\/p>\n<ol data-start=\"253\" data-end=\"697\">\n<li data-start=\"253\" data-end=\"479\">\n<p data-start=\"256\" data-end=\"301\"><strong data-start=\"256\" data-end=\"300\">Career Point Kota \u2013 Units and Dimensions<\/strong>:<\/p>\n<ul data-start=\"305\" data-end=\"479\">\n<li data-start=\"305\" data-end=\"453\">This material offers an in-depth overview of different units of physical quantities, the concept of dimensions, and their applications in physics.<\/li>\n<li data-start=\"457\" data-end=\"479\">Access the PDF here:<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"481\" data-end=\"697\">\n<p data-start=\"484\" data-end=\"519\"><strong data-start=\"484\" data-end=\"518\">Resonance \u2013 Units &amp; Dimensions<\/strong>:<\/p>\n<ul data-start=\"523\" data-end=\"697\">\n<li data-start=\"523\" data-end=\"671\">This document provides detailed explanations of fundamental quantities, derived quantities, and the importance of dimensional analysis in physics.<\/li>\n<li data-start=\"675\" data-end=\"697\">Access the PDF here:<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p data-start=\"699\" data-end=\"715\"><strong data-start=\"699\" data-end=\"714\">Gravitation<\/strong>:<\/p>\n<ol data-start=\"717\" data-end=\"1184\">\n<li data-start=\"717\" data-end=\"960\">\n<p data-start=\"720\" data-end=\"774\"><strong data-start=\"720\" data-end=\"773\">Vedantu \u2013 Class 11 Physics Chapter 8: Gravitation<\/strong>:<\/p>\n<ul data-start=\"778\" data-end=\"960\">\n<li data-start=\"778\" data-end=\"934\">These revision notes cover topics such as Newton&#8217;s law of universal gravitation, gravitational potential energy, and the motion of planets and satellites.<\/li>\n<li data-start=\"938\" data-end=\"960\">Access the PDF here:<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"962\" data-end=\"1184\">\n<p data-start=\"965\" data-end=\"1001\"><strong data-start=\"965\" data-end=\"1000\">MasterJEE Classes \u2013 Gravitation<\/strong>:<\/p>\n<ul data-start=\"1005\" data-end=\"1184\">\n<li data-start=\"1005\" data-end=\"1158\">This resource delves into Newton&#8217;s law of gravitation, gravitational field intensity, and potential, providing a thorough understanding of the subject.<\/li>\n<li data-start=\"1162\" data-end=\"1184\">Access the PDF here:<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p data-start=\"1186\" data-end=\"1341\">These resources should assist you in gaining a comprehensive understanding of Units and Dimensions, as well as Gravitation, enhancing your physics studies.<\/p>\n<h3 data-start=\"1186\" data-end=\"1341\"><a href=\"https:\/\/gppanchkula.ac.in\/wp-content\/uploads\/2020\/03\/PHYSICS-LEARNING-MATERIAL.pdf\" target=\"_blank\" rel=\"noopener\">Physics Unit and Dimension Gravitation Notes Pdf Download<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/ncerthelp.com\/cbse%20notes\/class%2011\/physics\/Physics%20Notes%20Class%2011%20CHAPTER%208%20GRAVITATION.pdf\" target=\"_blank\" rel=\"noopener\">Physics Notes Class 11 CHAPTER 8 GRAVITATION<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/physicswithpradeep.wordpress.com\/wp-content\/uploads\/2013\/04\/unit-dimensions-and-measurement.pdf\" target=\"_blank\" rel=\"noopener\">Unit dimensions and Measurement<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/careerpoint.ac.in\/wp-content\/uploads\/2022\/11\/IIT_Physics_Unit_Dimension.pdf\" target=\"_blank\" rel=\"noopener\">Physics_Unit &amp; Dimension.p65<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.smtasmc.org\/images\/I_Sem_Phyics_Unit_1_NEP.pdf\" target=\"_blank\" rel=\"noopener\">01 Units and Measurements<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.spiroacademy.com\/pdf-notes\/study-meterials\/Physics\/gravitation.pdf\" target=\"_blank\" rel=\"noopener\">GRAVITATION<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/physicswithpradeep.wordpress.com\/wp-content\/uploads\/2013\/04\/gravitation.pdf\" target=\"_blank\" rel=\"noopener\">gravitation.pdf<\/a><\/h3>\n<h3 data-section-id=\"1yk4skk\" data-start=\"274\" data-end=\"305\"><span role=\"text\"><strong data-start=\"278\" data-end=\"305\">1. Units and Dimensions<\/strong><\/span><\/h3>\n<h4 data-start=\"307\" data-end=\"331\"><span role=\"text\"><strong data-start=\"312\" data-end=\"331\">A. Introduction<\/strong><\/span><\/h4>\n<ul data-start=\"332\" data-end=\"600\">\n<li data-section-id=\"12aioow\" data-start=\"332\" data-end=\"418\"><strong data-start=\"334\" data-end=\"356\">Physical Quantity:<\/strong> A property that can be measured (e.g., length, mass, time).<\/li>\n<li data-section-id=\"wo6gpe\" data-start=\"419\" data-end=\"510\"><strong data-start=\"421\" data-end=\"431\">Units:<\/strong> Standard measurement of a physical quantity (e.g., meter, kilogram, second).<\/li>\n<li data-section-id=\"1gzx7sm\" data-start=\"511\" data-end=\"600\"><strong data-start=\"513\" data-end=\"528\">Dimensions:<\/strong> Express physical quantity in terms of fundamental quantities (M, L, T).<\/li>\n<\/ul>\n<h4 data-start=\"602\" data-end=\"644\"><span role=\"text\"><strong data-start=\"607\" data-end=\"644\">B. Fundamental Quantities &amp; Units<\/strong><\/span><\/h4>\n<div class=\"TyagGW_tableContainer\">\n<div class=\"group TyagGW_tableWrapper flex flex-col-reverse w-fit\" tabindex=\"-1\">\n<table class=\"w-fit min-w-(--thread-content-width)\" data-start=\"645\" data-end=\"970\">\n<thead data-start=\"645\" data-end=\"676\">\n<tr data-start=\"645\" data-end=\"676\">\n<th class=\"last:pe-10\" data-start=\"645\" data-end=\"656\" data-col-size=\"sm\">Quantity<\/th>\n<th class=\"last:pe-10\" data-start=\"656\" data-end=\"665\" data-col-size=\"sm\">Symbol<\/th>\n<th class=\"last:pe-10\" data-start=\"665\" data-end=\"676\" data-col-size=\"sm\">SI Unit<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"709\" data-end=\"970\">\n<tr data-start=\"709\" data-end=\"742\">\n<td data-start=\"709\" data-end=\"720\" data-col-size=\"sm\">Length<\/td>\n<td data-col-size=\"sm\" data-start=\"720\" data-end=\"729\">L<\/td>\n<td data-col-size=\"sm\" data-start=\"729\" data-end=\"742\">meter (m)<\/td>\n<\/tr>\n<tr data-start=\"743\" data-end=\"780\">\n<td data-start=\"743\" data-end=\"754\" data-col-size=\"sm\">Mass<\/td>\n<td data-col-size=\"sm\" data-start=\"754\" data-end=\"763\">M<\/td>\n<td data-col-size=\"sm\" data-start=\"763\" data-end=\"780\">kilogram (kg)<\/td>\n<\/tr>\n<tr data-start=\"781\" data-end=\"815\">\n<td data-start=\"781\" data-end=\"792\" data-col-size=\"sm\">Time<\/td>\n<td data-col-size=\"sm\" data-start=\"792\" data-end=\"801\">T<\/td>\n<td data-col-size=\"sm\" data-start=\"801\" data-end=\"815\">second (s)<\/td>\n<\/tr>\n<tr data-start=\"816\" data-end=\"853\">\n<td data-start=\"816\" data-end=\"835\" data-col-size=\"sm\">Electric Current<\/td>\n<td data-col-size=\"sm\" data-start=\"835\" data-end=\"839\">I<\/td>\n<td data-col-size=\"sm\" data-start=\"839\" data-end=\"853\">ampere (A)<\/td>\n<\/tr>\n<tr data-start=\"854\" data-end=\"886\">\n<td data-start=\"854\" data-end=\"868\" data-col-size=\"sm\">Temperature<\/td>\n<td data-col-size=\"sm\" data-start=\"868\" data-end=\"872\">\u03b8<\/td>\n<td data-col-size=\"sm\" data-start=\"872\" data-end=\"886\">kelvin (K)<\/td>\n<\/tr>\n<tr data-start=\"887\" data-end=\"929\">\n<td data-start=\"887\" data-end=\"908\" data-col-size=\"sm\">Luminous Intensity<\/td>\n<td data-col-size=\"sm\" data-start=\"908\" data-end=\"913\">Iv<\/td>\n<td data-col-size=\"sm\" data-start=\"913\" data-end=\"929\">candela (cd)<\/td>\n<\/tr>\n<tr data-start=\"930\" data-end=\"970\">\n<td data-start=\"930\" data-end=\"952\" data-col-size=\"sm\">Amount of Substance<\/td>\n<td data-col-size=\"sm\" data-start=\"952\" data-end=\"956\">N<\/td>\n<td data-col-size=\"sm\" data-start=\"956\" data-end=\"970\">mole (mol)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<h4 data-start=\"972\" data-end=\"1002\"><span role=\"text\"><strong data-start=\"977\" data-end=\"1002\">C. Derived Quantities<\/strong><\/span><\/h4>\n<ul data-start=\"1003\" data-end=\"1187\">\n<li data-section-id=\"1tl7jqi\" data-start=\"1003\" data-end=\"1059\">Expressed as a combination of fundamental quantities<\/li>\n<li data-section-id=\"1r2u1ra\" data-start=\"1060\" data-end=\"1187\">Examples:\n<ul data-start=\"1076\" data-end=\"1187\">\n<li data-section-id=\"1kfbfkl\" data-start=\"1076\" data-end=\"1110\">Velocity: <span class=\"katex\"><span class=\"katex-mathml\">[v]=LT\u22121[v] = L T^{-1}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">v<\/span><span class=\"mclose\">]<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">L<\/span><span class=\"mord\"><span class=\"mord mathnormal\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u22121<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li data-section-id=\"1pdhvsk\" data-start=\"1113\" data-end=\"1151\">Acceleration: <span class=\"katex\"><span class=\"katex-mathml\">[a]=LT\u22122[a] = L T^{-2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mclose\">]<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">L<\/span><span class=\"mord\"><span class=\"mord mathnormal\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u22122<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li data-section-id=\"1ika8ch\" data-start=\"1154\" data-end=\"1187\">Force: <span class=\"katex\"><span class=\"katex-mathml\">[F]=MLT\u22122[F] = M L T^{-2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">F<\/span><span class=\"mclose\">]<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">M<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mord\"><span class=\"mord mathnormal\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u22122<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h4 data-start=\"1189\" data-end=\"1232\"><span role=\"text\"><strong data-start=\"1194\" data-end=\"1232\">D. Dimensional Formula &amp; Equations<\/strong><\/span><\/h4>\n<ul data-start=\"1233\" data-end=\"1499\">\n<li data-section-id=\"84wonq\" data-start=\"1233\" data-end=\"1312\">Dimensional formula: Represents physical quantity in terms of M, L, T, etc.<\/li>\n<li data-section-id=\"11ozb85\" data-start=\"1313\" data-end=\"1405\">Dimensional equation: Relates physical quantities mathematically using their dimensions.<\/li>\n<li data-section-id=\"6rl6t1\" data-start=\"1406\" data-end=\"1499\"><strong data-start=\"1408\" data-end=\"1425\">Applications:<\/strong> Checking correctness of equations, deriving relations, converting units<\/li>\n<\/ul>\n<h3 data-section-id=\"14hxlug\" data-start=\"1506\" data-end=\"1528\"><span role=\"text\"><strong data-start=\"1510\" data-end=\"1528\">2. Gravitation<\/strong><\/span><\/h3>\n<h4 data-start=\"1530\" data-end=\"1570\"><span role=\"text\"><strong data-start=\"1535\" data-end=\"1570\">A. Universal Law of Gravitation<\/strong><\/span><\/h4>\n<ul data-start=\"1571\" data-end=\"1798\">\n<li data-section-id=\"18shfzu\" data-start=\"1571\" data-end=\"1780\"><strong data-start=\"1573\" data-end=\"1605\">Newton\u2019s Law of Gravitation:<\/strong> Every particle attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.<\/li>\n<li data-section-id=\"jgic26\" data-start=\"1781\" data-end=\"1798\"><strong data-start=\"1783\" data-end=\"1796\">Equation:<\/strong><\/li>\n<\/ul>\n<h3><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">F=Gm1m2r2F = G \\frac{m_1 m_2}{r^2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">F<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">G<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<p data-start=\"1833\" data-end=\"1885\">where <span class=\"katex\"><span class=\"katex-mathml\">G=6.67\u00d710\u221211\u2009Nm\u00b2\/kg\u00b2G = 6.67 \\times 10^{-11} \\, \\text{Nm\u00b2\/kg\u00b2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">G<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">6.67<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u221211<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord text\"><span class=\"mord\">Nm\u00b2\/kg\u00b2<\/span><\/span><\/span><\/span><\/span><\/p>\n<h4 data-start=\"1887\" data-end=\"1926\"><span role=\"text\"><strong data-start=\"1892\" data-end=\"1926\">B. Acceleration Due to Gravity<\/strong><\/span><\/h4>\n<ul data-start=\"1927\" data-end=\"1955\">\n<li data-section-id=\"fmpcx4\" data-start=\"1927\" data-end=\"1955\">At the surface of Earth:<\/li>\n<\/ul>\n<h3><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">g=GMR2g = \\frac{G M}{R^2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">GM<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<ul data-start=\"1984\" data-end=\"2032\">\n<li data-section-id=\"11ssfsw\" data-start=\"1984\" data-end=\"2032\">Variation of g with height (h) and depth (d)<\/li>\n<\/ul>\n<h3><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">gh=g(1\u22122hR),gd=g(1\u2212dR)g_h = g \\left(1 &#8211; \\frac{2h}{R}\\right), \\quad g_d = g \\left(1 &#8211; \\frac{d}{R}\\right)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">h<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\">1<\/span><span class=\"mbin\">\u2212<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">R<\/span>2<span class=\"mord mathnormal\">h<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mord\"><span class=\"mord mathnormal\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">d<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\">1<\/span><span class=\"mbin\">\u2212<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">R<\/span><span class=\"mord mathnormal\">d<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<h4 data-start=\"2122\" data-end=\"2164\"><span role=\"text\"><strong data-start=\"2127\" data-end=\"2164\">C. Gravitational Potential Energy<\/strong><\/span><\/h4>\n<ul data-start=\"2165\" data-end=\"2254\">\n<li data-section-id=\"dj3lwk\" data-start=\"2165\" data-end=\"2213\"><strong data-start=\"2167\" data-end=\"2179\">Formula:<\/strong> <span class=\"katex\"><span class=\"katex-mathml\">U=\u2212Gm1m2rU = &#8211; \\frac{G m_1 m_2}{r}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">U<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">G<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">1<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">2<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li data-section-id=\"txl1ut\" data-start=\"2214\" data-end=\"2254\">Negative sign indicates bound system<\/li>\n<\/ul>\n<h4 data-start=\"2256\" data-end=\"2283\"><span role=\"text\"><strong data-start=\"2261\" data-end=\"2283\">D. Escape Velocity<\/strong><\/span><\/h4>\n<ul data-start=\"2284\" data-end=\"2331\">\n<li data-section-id=\"1kckjrl\" data-start=\"2284\" data-end=\"2331\">Minimum velocity to escape Earth&#8217;s gravity:<\/li>\n<\/ul>\n<h3><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">ve=2GMR=2gRv_e = \\sqrt{\\frac{2GM}{R}} = \\sqrt{2 g R}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">e<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"svg-align\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"mord mathnormal\">R<\/span>2<span class=\"mord mathnormal\">GM<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"svg-align\"><span class=\"mord\">2<span class=\"mord mathnormal\">g<\/span><span class=\"mord mathnormal\">R<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<h4 data-start=\"2381\" data-end=\"2407\"><span role=\"text\"><strong data-start=\"2386\" data-end=\"2407\">E. Orbital Motion<\/strong><\/span><\/h4>\n<ul data-start=\"2408\" data-end=\"2519\">\n<li data-section-id=\"pz4elo\" data-start=\"2408\" data-end=\"2459\">Orbital velocity: <span class=\"katex\"><span class=\"katex-mathml\">v=GMrv = \\sqrt{\\frac{GM}{r}}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">v<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"svg-align\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">GM<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li data-section-id=\"1na2w42\" data-start=\"2460\" data-end=\"2519\">Satellite period: <span class=\"katex\"><span class=\"katex-mathml\">T=2\u03c0r3GMT = 2 \\pi \\sqrt{\\frac{r^3}{GM}}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">T<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"svg-align\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">GM<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"sizing reset-size3 size1 mtight\">3<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<h4 data-start=\"2521\" data-end=\"2548\"><span role=\"text\"><strong data-start=\"2526\" data-end=\"2548\">F. Important Notes<\/strong><\/span><\/h4>\n<ul data-start=\"2549\" data-end=\"2745\">\n<li data-section-id=\"istp8k\" data-start=\"2549\" data-end=\"2601\">Weight is the force due to gravity: <span class=\"katex\"><span class=\"katex-mathml\">W=mgW = mg<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">W<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\">g<\/span><\/span><\/span><\/span><\/li>\n<li data-section-id=\"mf7iz1\" data-start=\"2602\" data-end=\"2669\">Free fall is motion under gravity only, ignoring air resistance<\/li>\n<li data-section-id=\"3k6bdr\" data-start=\"2670\" data-end=\"2745\">Kepler\u2019s Laws of Planetary Motion often applied in Gravitation problems<\/li>\n<\/ul>\n<h3 data-section-id=\"l7sf7m\" data-start=\"2752\" data-end=\"2787\"><span role=\"text\"><strong data-start=\"2756\" data-end=\"2787\">3. Tips for Using the Notes<\/strong><\/span><\/h3>\n<ol data-start=\"2788\" data-end=\"3046\">\n<li data-section-id=\"77luaz\" data-start=\"2788\" data-end=\"2865\">Memorize <strong data-start=\"2800\" data-end=\"2816\">key formulas<\/strong> for G, g, escape velocity, and orbital motion.<\/li>\n<li data-section-id=\"138ubzx\" data-start=\"2866\" data-end=\"2913\">Practice <strong data-start=\"2878\" data-end=\"2900\">numerical problems<\/strong> regularly.<\/li>\n<li data-section-id=\"1m2gxbu\" data-start=\"2914\" data-end=\"2980\">Use <strong data-start=\"2921\" data-end=\"2945\">dimensional analysis<\/strong> to check equations in mechanics.<\/li>\n<li data-section-id=\"1d5ncw5\" data-start=\"2981\" data-end=\"3046\">Draw diagrams for better understanding of orbits and forces.<\/li>\n<\/ol>\n<h2 style=\"text-align: left;\"><a href=\"https:\/\/ncert.nic.in\/textbook\/pdf\/keph107.pdf\" target=\"_blank\" rel=\"noopener\">Physics Unit and Dimension Gravitation Notes Pdf Download<\/a><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>The gravitational constant (also known as the universal gravitational constant, the Newtonian constant of gravity, or the Cavendish gravitational constant), denoted by the letter G, is an empirical physical constant that is defined in Sir Isaac Newton&#8217;s law of universal gravitational effects. included in the calculation. In Gravity and Albert Einstein&#8217;s General Theory of Relativity. [&hellip;]<\/p>\n","protected":false},"author":64,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1195],"tags":[1188,1189,1190,1191,1192,1193,1194,1196,1197,1198],"class_list":["post-5115","post","type-post","status-publish","format-standard","hentry","category-physics-unit-and-dimension-gravitation","tag-derived-quantities","tag-dimension-gravitation","tag-dimensional-formula-of-force","tag-dimensional-formula-of-gravitational-constant","tag-fundamental-quantities","tag-physical-quantity","tag-physics-unit","tag-physics-unit-and-dimension-gravitation","tag-si-unit-of-momentum","tag-unit-of-surface-tension"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/5115","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=5115"}],"version-history":[{"count":2,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/5115\/revisions"}],"predecessor-version":[{"id":11444,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/5115\/revisions\/11444"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=5115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=5115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=5115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}