{"id":1987,"date":"2023-10-02T08:07:15","date_gmt":"2023-10-02T08:07:15","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=1987"},"modified":"2023-10-02T08:08:50","modified_gmt":"2023-10-02T08:08:50","slug":"week-7-ss1-first-term-physics-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-7-ss1-first-term-physics-notes\/","title":{"rendered":"Week 7 &#8211; SS1 First Term Physics Notes"},"content":{"rendered":"<p><strong>WEEK SEVEN<\/strong><br \/>\n\t\t<strong>TOPIC: DENSITY &amp; RELATIVE DENSITY<br \/>\n<\/strong><strong>CONTENT<br \/>\n<\/strong><\/p>\n<ul>\n<li>Definition of Density\n<\/li>\n<li>Determination of Density\n<\/li>\n<li>Relative Density\n<\/li>\n<li>Determination of Relative Density of Solids  &amp; Liquid\n<\/li>\n<\/ul>\n<p>\u00a0<strong>DEFINITION OF DENSITY<br \/>\n<\/strong>The density of a substance is the mass per unit volume of the substance.<br \/>\nDensity = mass of a given substance<br \/>\n\u00a0\u00a0\u00a0\u00a0         Volume of the substance<br \/>\nDensity is scalar quantity&amp; measured in kgm-<sup>3 <\/sup>(kilogram per cubic meter)<\/p>\n<p>\u00a0<strong>Determination of Density<\/strong><br \/>\n\t\tThe determination of density involves the determination of a mass and a volume. The mass can be found by weighing. The density of a substance can be determined using a graduated density bottle.<\/p>\n<p>\u00a0<strong>Relative Density<br \/>\n<\/strong>Relative density is also known as specific gravity. Relative density of a substance is defined as the density of the substance per density of water.<br \/>\n\u00a0\u00a0\u00a0\u00a0R.D = Density of the substance<br \/>\n\t\t\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Density of water<br \/>\nR.D is also equal to the ratio weight of a substance to weight of an equal volume of water. As weight is proportional to mass<br \/>\n R.D = mass of substance<br \/>\n\u00a0\u00a0\u00a0\u00a0mass of equal volume of water<\/p>\n<p>\u00a0<strong>Determination of R.D of Solid (e.g. Sand)<br \/>\n<\/strong>Mass of empty bottle = m<sub>1<\/sub><br \/>\n\t\tMass of bottle + sand = m<sub>2<\/sub><br \/>\n\t\tMass of bottle + sand + water = m<sub>3<br \/>\n<\/sub><sub><br \/>\n\t\t\t<\/sub>Mass of bottle + water only= m<sub>4<\/sub><br \/>\n\t\tMass of sand = m<sub>2<\/sub> \u2013 m<sub>1<\/sub><br \/>\n\t\tMass of water added to sand = m<sub>3<\/sub> \u2013m<sub>2<\/sub><br \/>\n\t\tMass of water filling the bottle = m<sub>4<\/sub> \u2013 m<sub>1<br \/>\n<\/sub>Mass of water having the same volume as sand = (M<sub>4<\/sub>-M<sub>1<\/sub>) \u2013 (M<sub>3<\/sub>-M<sub>2<\/sub>)<br \/>\nRelative density =            Mass of sand<br \/>\n\t\t<sub><br \/>\n\t\t\t<\/sub>                                    Mass of equal volume of water<br \/>\n        R.D =       m<sub>2<\/sub> \u2013 m<sub>1<\/sub><br \/>\n\t\t\t\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<br \/>\n\t\t\t\u00a0\u00a0\u00a0\u00a0     (m<sub>4 <\/sub>&#8211; m<sub>1<\/sub>) &#8211; (m<sub>3 <\/sub>-m<sub>2 <\/sub>)<\/p>\n<p>\u00a0<strong>EVALUATION<br \/>\n<\/strong><\/p>\n<ol>\n<li>Differentiate between density &amp; relative density\n<\/li>\n<li>\n<div>A glass block of length 100cm width 60cm and thickness 20cm has a mass of 4000g.\n<\/div>\n<p>calculate the density of the glass<\/p>\n<p>\u00a0<strong>Determination of R.D of Liquid<br \/>\n<\/strong>mass of empty density bottle = m<sub>1<br \/>\n<\/sub>mass of bottle filled with water = m<sub>2<\/sub><br \/>\n\t\t\t\tmass of bottle filled with liquid = m<sub>3<\/sub><br \/>\n\t\t\t\tR.D of liquid = m<sub>3<\/sub> \u2013 m<sub>1<\/sub><br \/>\n\t\t\t\t                        m<sub>2<\/sub> \u2013 m<sub>1<\/sub><br \/>\n\t\t\t\tExample <strong>&#8211; <\/strong>A glass block of length 10cm width 8cm and thickness 2cm has a mass of 400g. calculate the density of the glass.<br \/>\nSolution<br \/>\nl = 10cm = 0.1m, b = 8cm = 0.08cm, h = 2cm = 0.02m, m = 400g = 0.4kg<br \/>\nV = lbh = 0.1 x 0.08 x 0.02 = 0.00016m<sup>3<\/sup><br \/>\n\t\t\t\tDensity = Mass (m)            =      0.4             =   2500kgm<sup>3<\/sup><br \/>\n\t\t\t\t          Volume (V)  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00.00016<br \/>\nExample &#8211; Calculate the volume in m<sup>3<\/sup> of a piece of wood of mass 500g and density 0.76 gcm-3<br \/>\nmass of the wood = 500g<br \/>\ndensity = 0.76gcm<sup>-3<\/sup><br \/>\n\t\t\t\tvolume = ?<br \/>\nvolume = mass \/ density= 500<br \/>\n\t\t\t\t0.76<br \/>\nvolume = 658cm<sup>3 <\/sup>= 6.58 x 10-4 m<sup>3<\/sup><br \/>\n\t\t\t\tExample &#8211; An empty relative density bottle has a mass of 15.0g. when completely filled with water, its mass is 39.0g. what will be its mass if completely filled with acid of relative density 1.20?<br \/>\nsolution<br \/>\nm<sub>1<\/sub>, mass of empty bottle = 15.0g<br \/>\nm<sub>2<\/sub>, mass of bottle + water = 39.0g<br \/>\nmass of acid = n \u2013 15 . 0g<br \/>\nmass of water = 39.0 \u2013 15.0g<br \/>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= 24.0g<br \/>\nR.D = 1.20<br \/>\nR.D = n \u2013 15.0g<br \/>\n\u00a0\u00a0\u00a0\u00a039.0 \u2013 15.0g<br \/>\n1.20 = n \u201315.0<br \/>\n\u00a0\u00a0\u00a0\u00a0     24.0<br \/>\nn- 15.0= 1.20&#215;24.0<br \/>\nn- 15= 28.8<br \/>\nn =28.8+15<br \/>\nn=43.8g<br \/>\n<strong>NB: <\/strong>The hydrometer is an instrument used to measure the relative density of liquids<\/p>\n<p>\u00a0<strong>EVALUATION<br \/>\n<\/strong><\/p>\n<ol>\n<li>\n<h2>The volume of an object is 1.5x10m and its mass is 3.0&#215;10 kg. Calculate its density.<br \/>\n<\/h2>\n<\/li>\n<li>\n<h2>A relative density bottle weighs 20g when empty, 80g when filled with water &amp; 100g when filled with liquid. Find the relative density of the liquid.<br \/>\n<\/h2>\n<\/li>\n<\/ol>\n<p>\u00a0<strong>READING ASSIGNMENT<br \/>\n<\/strong>New school physics by M.W.Anyakoha,Phd.Pg 152 \u2013 157<\/p>\n<p>\u00a0<\/p>\n<h2>WEEKEND ASSIGNMENT<br \/>\n<\/h2>\n<ol>\n<li>\n<div>Find the density of a substance, if the mass of the substance is 150,000g and the dimension is 20m by 10m by 500cm.\n<\/div>\n<ol>\n<li> 0.5kg1m b. 0.24kg1m c. 1.50kg\/m.\n<\/li>\n<\/ol>\n<\/li>\n<li>\n<div>What is the height of a cylindrical iron if the density is 7900kg\/m<sup>3<\/sup>? The mass is 700kg and the radius is 0.1m.\n<\/div>\n<ol>\n<li> 2.918m b. 2.819m c. 3.418m.\n<\/li>\n<\/ol>\n<\/li>\n<li>\n<div>Density is defined as the ratio of mass to&#8212;&#8212;-\n<\/div>\n<ol>\n<li> Pressure b. area c. volume\n<\/li>\n<\/ol>\n<\/li>\n<li>\n<div>Relative density is the ratio of mass of a substance to&#8212;&#8212;\n<\/div>\n<ol>\n<li> Mass of 2an equal volume of water b. volume of a substance c. density\n<\/li>\n<\/ol>\n<\/li>\n<li>The S.I unit of density is &#8212;&#8212;&#8212;&#8212;- a. g1cm b. kg1m c.kg1m .\n<\/li>\n<\/ol>\n<p>\u00a0<strong>THEORY<br \/>\n<\/strong><\/p>\n<ol>\n<li>Alcohol of mass 33.2g and density 790kg1m is mixed with 9g of water. What is the density of the resulting mixture?(density of water is 1g1cm ).\n<\/li>\n<li>Define relative density of liquid.<strong><br \/>\n\t\t\t\t\t\t<\/strong><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>WEEK SEVEN TOPIC: DENSITY &amp; RELATIVE DENSITY CONTENT Definition of Density Determination of Density Relative&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,176],"tags":[],"class_list":["post-1987","post","type-post","status-publish","format-standard","hentry","category-posts","category-first-term-ss1-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1987","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=1987"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1987\/revisions"}],"predecessor-version":[{"id":1988,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1987\/revisions\/1988"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=1987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=1987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=1987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}