MediaWiki API result
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{
"compare": {
"fromid": 1,
"fromrevid": 1,
"fromns": 0,
"fromtitle": "Tuisblad",
"toid": 2,
"torevid": 2,
"tons": 0,
"totitle": "Ho\u00ebrskool Natuur- en Skeikunde/Deel 3-1: Meganika",
"*": "<tr><td colspan=\"2\" class=\"diff-lineno\" id=\"mw-diff-left-l1\">Lyn 1:</td>\n<td colspan=\"2\" class=\"diff-lineno\">Lyn 1:</td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">'''MediaWiki is suksesvol ge\u00efnstalleer</del>.<del class=\"diffchange diffchange-inline\">'''</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Beweging in Twee Dimensies==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Hierdie hoofstuk handel oor die vertikale projektielbeweging asook beweging in twee dimensies. Die behoud van momentum in twee dimensies sal ook ondersoek word</ins>.</div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">Konsulteer </del>'''<del class=\"diffchange diffchange-inline\">[https://www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org/wiki/Special:MyLanguage/Help:Contents User</del>'<del class=\"diffchange diffchange-inline\">s Guide]</del>''' vir <del class=\"diffchange diffchange-inline\">inligting oor hoe om </del>die <del class=\"diffchange diffchange-inline\">wikisagteware te gebruik</del>.</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Projektielbeweging===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voorheen is daar gekyk na die beweging van voorwerpe wat vryval, en waargeneem dat so 'n voorwerp onderworpe is aan gravitasieversnelling, '</ins>'<ins class=\"diffchange diffchange-inline\">g</ins>''. <ins class=\"diffchange diffchange-inline\">In hierdie afdeling gaan die beweging van voorwerpe wat in die lug opwaarts gegooi, en dan terugval aarde toe, bestudeer word</ins>. <ins class=\"diffchange diffchange-inline\">Laasgenoemde tipe beweging word '''''projektielbeweging</ins>''''<ins class=\"diffchange diffchange-inline\">' genoem, en </ins>vir <ins class=\"diffchange diffchange-inline\">hierdie waarneming sal daar net gekyk word na voorwerpe wat loodreg opwaarts en terug afwaarts beweeg, dus geen horisontale verplasing van die voorwerp word waargeneem nie, slegs </ins>die <ins class=\"diffchange diffchange-inline\">vertikale verplasing</ins>.</div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>== <del class=\"diffchange diffchange-inline\">Hoe </del>om te <del class=\"diffchange diffchange-inline\">Begin </del>==</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>==<ins class=\"diffchange diffchange-inline\">==Beweging in 'n Gravitasieveld====</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual</del>:<del class=\"diffchange diffchange-inline\">Configuration_settings Configuration settings list</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Wanneer 'n voorwerp in 'n gravitasieveld beweeg, sal die voorwerp altyd afwaarts versnel met 'n konstante versnelling ''g'', ongeag die voorwerp se beweging opwaarts of afwaarts.</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>* [<del class=\"diffchange diffchange-inline\">https</del>://<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">wiki</del>/<del class=\"diffchange diffchange-inline\">Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual</del>:<del class=\"diffchange diffchange-inline\">FAQ MediaWiki FAQ</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[l\u00eaer:Beweging in gravistasieveld met teks.png|thumb|centre|500px|Voorwerpe wat op- of afwaarts beweeg sal altyd afwaarts versnel in 'n gravitasieveld.]]</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* [https</del>://<del class=\"diffchange diffchange-inline\">lists</del>.<del class=\"diffchange diffchange-inline\">wikimedia</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">postorius</del>/<del class=\"diffchange diffchange-inline\">lists</del>/<del class=\"diffchange diffchange-inline\">mediawiki</del>-<del class=\"diffchange diffchange-inline\">announce</del>.<del class=\"diffchange diffchange-inline\">lists</del>.<del class=\"diffchange diffchange-inline\">wikimedia</del>.<del class=\"diffchange diffchange-inline\">org</del>/ <del class=\"diffchange diffchange-inline\">MediaWiki release mailing list]</del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Dit beteken dat, indien die voorwerp opwaarts beweeg, sal die snelheid daarvan verminder tot dit stop (''v<sub>f</sub> = 0 m.s<sup>-1</sup>''). Dit is dan die maksimum hoogte wat so 'n voorwerp kan bereik, en na daardie oomblik sal die begin terugval na die aarde.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[l\u00eaer:Beweging in gravistasieveld - op en af met teks.png|thumb|centre|500px|(a) 'n Voorwerp word opwaarts gegooi vanaf 'n hoogte ''h<sub>0</sub>''. (b) Na 'n sekere tydsverloop ''t<sub>m</sub>'' bereik die voorwerp 'n maksimum hoogte en begin dan terugval Aarde toe. (c) Na 'n tyd 2 \u00d7 ''t<sub>m</sub>'' bereik die voorwerp weer die oorspronklike hoogte by ''h<sub>0</sub>''.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Beskou 'n voorwerp wat opwaarts gegooi word vanaf 'n vertikale hoogte ''h<sub>0</sub>''. Daar kan waargeneem word hoe die voorwerp opwaarts beweeg met 'n afnemende snelheid tot dit vir 'n oomblik stop, die voorwerp se maksimum hoogte, en dan daarna begin val. Die tyd wat dit vir die voorwerp neem </ins>om <ins class=\"diffchange diffchange-inline\">weer afwaarts terug </ins>te <ins class=\"diffchange diffchange-inline\">val na hoogte ''h<sub>0</sub>'' is dieselfde as die tyd wat dit die voorwerp geneem het om die maksimum hoogte vanaf ''h<sub>0</sub>'' te bereik.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Bewegingsvergelykings====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voorheen is die bewegingsvergelykings gebruik vir die verduideliking van 'n voorwerp in vryval. Hierdie vergelykings kan ook gebruik word vir projektielbeweging. Dit is eenders aan die bewegingsvergelykings wat voorheen afgelei is, maar met ''a = g''. Vervolgens sal ''g = 9,8 m.s<sup>-2</sup>'' vir berekeninge gebruik word.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>v_i</math> = beginsnelheid (''m.s<sup>-1</sup>'') by tyd ''t = 0 ''<br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>v_f</math> = eindsnelheid (''m.s<sup>-1</sup>'') by tyd ''t''<br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>\\Delta x </math> = hoogte bokant die grondoppervlak (''m'')<br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>t</math> = tyd (''s'')<br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>\\Delta t </math> = tydinterval (''s'')<br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>g </math> = gravitasieversnelling (''m.s<sup>-2</sup>'')<br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>v_f = v_i + gt\\,\\!</math><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>\\Delta x = \\frac{(v_i + v_f)}{2} t</math><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>\\Delta x = v_it + \\frac{1}{2}gt^2 </math><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>v_f^2 = v_i^2 + 2g\\Delta x </math><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><br /></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Grafieke van Vertikale Projektielbeweging==</ins>==</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Vertikale projektielbeweging is eenders aan beweging teen 'n konstante versnelling, wat reeds voorheen bespreek is. Die grafieke vir vertikale projektielbeweging is daarom identies aan aan die grafieke van beweging onderhewig aan konstante versnelling. Wanneer die grafieke vir vertikale projektielbeweging geteken word, moet daar twee gevalle in gedagte gehou word: die voorwerp wat opwaarts beweeg en dan dieselfde voorwerp wat daarna van rigting verander en afwaarts beweeg. Indien die opwaartse rigting positief gekies word, kan die grafieke gevolglik die verandering van verplasing, snelheid en versnelling aandui.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[</ins>[<ins class=\"diffchange diffchange-inline\">L\u00eaer</ins>:<ins class=\"diffchange diffchange-inline\">Grafieke - vertikale projektielbeweging.png|thumb|right|500px| Hierdie grafieke toon die (a) verplasing, (b) snelheid en (c) versnelling van 'n voorwerp wat opwaarts gegooi word teenoor tyd. Die voorwerp word opwaarts gegooi met 'n beginsnelheid van ''v<sub>i</sub>''. Dit neem die voorwerp 'n tyd van ''t<sub>m</sub>'' om die maksimum hoogte ''h<sub>m</sub>'' te bereik, en dan terug te val na die grond toe. Let op hoe die versnelling konstant en negatief bly gedurende die voorwerp se beweging.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Verandering in verplasing''<</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">In hierdie geval vorm die grafiek van verplasing teenoor tyd 'n onderstebo \u201cU\u201d waar die verplasing by 'n hoogte gelyk aan nul begin (''h<sub>0<</ins>/<ins class=\"diffchange diffchange-inline\">sub> = 0'')</ins>. <ins class=\"diffchange diffchange-inline\">Soos die voorwerp opwaarts beweeg neem die verandering van hoogte teenoor tyd af, totdat die kurwe afplat, waar die voorwerp se snelheid gelyk is aan nul, en die maksimum hoogte (''h = h<sub>m</sub>'') bereik is wat ook ooreenstem met die tyd van maksimum hoogte (''t<sub>m</sub>'')</ins>. <ins class=\"diffchange diffchange-inline\">Vandaar beweeg die voorwerp afwaarts tot dit weer die oorspronklike hoogte, ''h<sub>0<</ins>/<ins class=\"diffchange diffchange-inline\">sub> = 0'' bereik, wat ooreenstem met die tyd ''t<sub>f<</ins>/<ins class=\"diffchange diffchange-inline\">sub>''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Verandering in snelheid''</br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Met die verandering in snelheid teenoor tyd is dit belangrik om daarop te let dat</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># Die opwaartse snelheid was gekies as positief,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># Die voorwerp begin met 'n positiewe snelheid \u00earens op die y-as (''v<sub>i</sub>''),</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># Die voorwerp se snelheid neem af tot dit nul bereik teenoor die maksimum hoogte daarvan (''v = 0'' by ''h<sub>m</sub>'' en ''t<sub>m</sub>''),</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"># Die voorwerp beweeg dan in die teenoorgestelde rigting, daarom 'n negatiewe snelheid, tot dit die grond bereik met ''v<sub>f</sub>'' by ''t<sub>f</sub>''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Verandering in versnelling''<</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Soos wat die voorwerp beweeg is ''a = g'', met die opwaartse rigting gekies as positief. Omdat die gravitasieversnelling van die aarde afwaarts is en nie verander nie, sal die versnelling van die voorwerp regdeur die beweging daarvan konstant en negatief bly.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Behoud van Momentum in Twee Dimensies===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Daar is voorheen bespreek dat momentum in 'n spesifieke sisteem bewaar word indien daar nie ander eksterne kragte bestaan wat op daardie sisteem inwerk nie. In teenstelling daarmee, 'n eksterne krag veroorsaak 'n verandering in momentum, oftewel ''\u0394p'', met 'n impuls vanaf 'n krag wat daarop inwerk, ''F'' vir 'n tyd ''\u0394t'' soos gegee deur</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>\\Delta p = F \\cdot \\Delta t</math></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Dieselfde beginsels vir die bewaring van momentum in een dimensie soos gestudeer geld vir toepassings van probleme vir die bewaring van momentum in twee dimensies.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die berekening van momentum in twee dimensies is dieselfde as vir een dimensie. Vir die berekeninge in twee dimensies word die momentum opgebreek in die momentum se ''x''- en ''y''-as komponente. Die beginsel van die behoud van momentum word dan toegepas op die onderskeie komponente.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Beskou twee bewegende voorwerpe wat na mekaar beweeg. Die situasie kan geanaliseer word deur die ''x'' en ''y''-komponente van elkeen se momentum te bereken.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Behoud van momentum in 2D - voor.png|thumb|center|300px|Totale momentum van die sisteem '''voor''' die botsing.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Voor die botsing''</br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Totale momentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i1} = m_1 v_{i1}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i2} = m_2 v_{i2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''x''-komponent van die momentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i1x} = m_1 v_{i1x} = m_1 v_{i1} \\cos \\theta_1</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i2x} = m_2 u_{i2x} = m_2 v_{i2} \\sin \\theta_2</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''y''-komponent van die momentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i1y} = m_1 v_{i1y} = m_1 v_{i1} \\cos \\theta_1</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i2y} = m_2 v_{i2y} = m_2 v_{i2} \\sin \\theta_2</math></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Behoud van momentum in 2D - na.png|thumb|center|300px|Totale momentum van die sisteem '''na''' die botsing.</ins>]<ins class=\"diffchange diffchange-inline\">]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Na die botsing''</br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Totale momentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f1} = m_1 v_{f1}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f2} = m_2 v_{f2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''x''-komponent van die momentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f1x} = m_1 v_{f1x} = m_1 v_{f1} \\cos \\phi_1</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f2x} = m_2 v_{f2x} = m_2 v_{f2} \\sin \\phi_2</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''y''-komponent van die momentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f1y} = m_1 v_{f1y} = m_1 v_{f1} \\cos \\phi_1</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f2y} = m_2 v_{f2y} = m_2 v_{f2} \\sin \\phi_2</math></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Behoud van momentum''</br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die aanvanklike momentum is gelyk aan die eindmomentum:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i}=p_{f}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{i} = p_{i1}+p_{i2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math> p_{f} = p_{f1}+p_{f2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die bostaande vorm die basis van enige momentum analise en die behoud van momentum in twee dimensies.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Tipes Botsings====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Daar bestaan twee tipes botsings wat van toepassing op momentumbehoud is:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>* <ins class=\"diffchange diffchange-inline\">elastiese botsings, en</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* onelastiese botsings.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Vir beide tipes botsings sal die totale momentum ''altyd'' behoue bly. Kinetiese energie word bewaar in elastiese botsings, maar nie vir onelastiese botsings nie.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=====Elastiese Botsings=====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''Definisie van elastiese botsings:''' 'n elastiese botsing is 'n botsing waar die '''totale momentum''' en '''totale kinetiese energie''' behoue bly.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die bostaande definisie beteken dat vir 'n elastiese botsing die totale momentum ''en'' totale kinetiese energie voor die botsing ''dieselfde'' sal wees as na die botsing. Vir hierdie tipe botsings sal die kinetiese energie nie verander na 'n ander tipe energie nie.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>[<ins class=\"diffchange diffchange-inline\">[L\u00eaer</ins>:<ins class=\"diffchange diffchange-inline\">Elastiese momentum - voor.png|thumb|center|400px|Twee voorwerpe '''voor''' hulle bots.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Voor die botsing''<</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voor twee voorwerpe bots is die totale momentum van die stelsel gelyk aan die som van die individuele momentums.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Gestel voorwerp 1 het 'n momentum van ''p<sub>i1</sub>'' en voorwerp 2 het 'n momentum van ''p<sub>i2</sub>'', sal dit beteken dat die totale momentum voor botsing:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>p_{i} = p_{i1}+ p_{i2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die kinetiese energie kan op dieselfde wyse bereken word</ins>. <ins class=\"diffchange diffchange-inline\">Voorwerp 1 het 'n kinetiese energie gelyk aan ''KE<sub>i1</sub>'' en voorwerp 2 het 'n kinetiese energie gelyk aan ''KE<sub>i2</sub>''</ins>. <ins class=\"diffchange diffchange-inline\">Dit beteken die totale kinetiese energie voor die botsing is:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>KE_i = KE_{i1} + KE_{i2}<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer</ins>:<ins class=\"diffchange diffchange-inline\">Elastiese momentum - na.png|thumb|center|300px|Twee voorwerpe '''nadat''' hulle gebots het.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">''Na die botsing''</br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Na die botsing bons die twee voorwerpe weg van mekaar af; albei besit nuwe momentums en nuwe kinetiese energie\u00eb. Soos voorheen is die totale momentum van die sisteem gelyk aan die som van al die individuele momentums.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voorwerp 1 besit nou 'n momentum ''p<sub>f1</sub>'' en voorwerp 2 besit 'n momentum ''p<sub>f2</sub>''. Dit beteken dus dat die totale momentum na die botsing is:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>p_{f} = p_{f1}+ p_{f2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Voorwerp 1 het nou 'n kinetiese energie gelyk aan ''KE<sub>f1</sub>'' en voorwerp 2 se kinetiese energie is ''KE<sub>f2</sub>'', wat dus maak dat die totale kinetiese energie na die botsing is:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>KE_f = KE_{f1} + KE_{f2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Omdat hierdie botsing 'n ''elastiese'' botsing is, is die totale momentum voor die botsing gelyk aan die totale momentum na die botsing '''en''' die totale kinetiese energie voor die botsing is gelyk aan die totale kinetiese energie na die botsing, wat dus maak dat:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>Begin = Einde</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>p_i = p_f<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>p_{i1}+ p_{i2} = p_{f1}+ p_{f2}</math></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''en'''</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>KE_i = KE_f</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>KE_{i1} + KE_{i2} = KE_{f1} + KE_{f2}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=====Nie-elastiese Botsings=====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''Definisie van nie-elastiese botsings:''' 'n nie-elastiese botsing is 'n botsing waar die '''totale momentum''' en '''totale kinetiese energie''' ''nie'' behoue bly ''nie''. Die kinetiese energie word ''omgeskakel'' na ander vorme van energie.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die totale momentum voor 'n nie-elastiese botsing bly dieselfde na die botsing, maar die totale ''kinetiese'' energie voor en na die onelastiese botsing is ''verskillend''. Dit beteken egter nie dat die totale energie bewaar word nie, maar eerder dat die energie ''omgeskakel'' word na 'n ander tipe energie.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'n Duimre\u00ebl vir wanneer nie-elastiese botsings plaasvind is dat die botsende op 'n sekere wyse voorwerpe vervorm. Gewoonlik verander die vorm van so 'n voorwerp. Die verandering van die voorwerp se vorm verg energie en dit is waarheen die \u201cvermiste\u201d kinetiese energie verdwyn het. 'n Klassieke voorbeeld van 'n nie-elastiese botsing is 'n motorvoertuigongeluk. Die motors verander van vorm tydens 'n botsing, en daar is 'n waarneembare verandering in die kinetiese energie van die motors voor en na die botsing. Die energie was gebruik om die metaal te buig en die bakwerk te vervorm.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer</ins>:<ins class=\"diffchange diffchange-inline\">Nie-elastiese momentum - voor.png|thumb|right|300px|'n Astero\u00efde wat na die Maan beweeg - voor die botsing.]</ins>]</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Gestel die voorbeeld van 'n astero\u00efde wat na die Maan beweeg word gebruik. Voor die asteroide teen die Maan bots is die totale momentum van die stelsel:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>p_{i} = p_{im}+ p_{ia}</math></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die totale kinetiese energie van die stelsel is:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>:<ins class=\"diffchange diffchange-inline\"><math>KE_i = KE_{im} + KE_{ia}<</ins>/<ins class=\"diffchange diffchange-inline\">math><</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"></br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Nie-elastiese momentum - na</ins>.<ins class=\"diffchange diffchange-inline\">png|thumb|right|200px|Die astero\u00efde het met die Maan gebots en 'n krater gevorm</ins>.<ins class=\"diffchange diffchange-inline\">]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Wanneer die astero\u00efde onelasties bots teen die Maan, sal die kinetiese energie daarvan omgeskakel word na meestal hitte-energie. Indien die hitte-energie groot genoeg is, kan dit veroorsaak dat die astero\u00efde en gebied wat die astero\u00efde op die Maan se oppervlak tref begin smelt! Vanaf die krag van die astero\u00efde se impak kan die gesmelte rots uitwaarts vloei en 'n krater op die Maan vorm.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Na die botsing is die totale momentum van die stelsel dieselfde soos voorheen, maar omdat die botsing ''onelasties'' is (wat waargeneem word deur die verandering van die voorwerpe se vorm), is die kinetiese energie '''nie''' dieselfde as voor die botsing '''nie'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Momentum bly behoue:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>p_i = p_f<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Maar die totale kinetiese energie van die stelsel bly nie behoue nie:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>KE_i \\ne KE_f<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Ho\u00eb Energie Botsings====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Verwysingsraamwerke===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Inleiding====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Verwysingsraamwerke 01 met teks.png|thumb|right|400px|'n Illustrasie van 'n motor wat van Oos na Wes beweeg. Persoon A is Suid van die pad, en B Noord.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Verwysingsraamwerke kan ge\u00efllustreer word deur die voorbeeld van 'n motor wat van Oos van Wes beweeg, en twee persone A en B wat onderskeidelik Suid en Noord van die aankomende motor staan. Vir die B wat na die Suide kyk beweeg die motor na regs, maar vir persoon A wat na die Noorde kyk, beweeg die motor na links. Hierdie verskil van die persone se sienings aangaande die beweging van die motor word veroorsaak deur elkeen se unieke ''verwysingsraamwerk'' met betrekking tot die stelsel. Indien elke persoon gevra sou word in watter rigting die motor beweeg, sou elkeen 'n verskillende antwoord gee. Die antwoord sou relatief tot elkeen se verwysingsraamwerk wees.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Wat is 'n Verwysingsraamwerk?====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''Definisie van 'n verwysingsraamwerk:'''\u00a0 'n ''verwysingsraamwerk'' is die spesifieke oogpunt waaruit 'n stelsel waargeneem word.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Prakties gesproke is 'n verwysingsraamwerk 'n stel asse (wat rigtings spesifiseer) met 'n oorsprong. 'n Waarnemer kan dan die posisie en beweging van alle punte in 'n stelsel peil, asook die ori\u00ebntasie van voorwerpe in die stelsel relatief tot die verwysingsraamwerk.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Daar bestaan twee tipes verwysingsraamwerke: traagheid en nie-traagheid. 'n Traagheidsverwyssingsraamwerk beweeg teen 'n konstante snelheid, wat beteken dat Newton se Eerste Wet (traagheid) waar is. 'n Nie-traagheidsverwysingsraamwerk, soos 'n bewegende motor of 'n roterende mallemeule, versnel. Daarom is Newton se Eerste Wet nie waar vir nie-traagheidsverwysingsraamwerke nie, soos voorwerpe wat skynbaar versnel sonder die gepaste kragte wat daarop inwerk.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Waarom is Verwysingsraamwerke Belangrik?====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Verwysingsraamwerke is belangrik omdat, soos daar in die inleiding se voorbeeld ge\u00efllustreer is, die snelheid van 'n voorwerp kan verskil vanwe\u00eb die verwysingsraamwerk wat gebruik word.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:''Uitbreiding van die onderwerp:''</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:Verwysingsraamwerke is veral van belang in spesiale relatiwiteit - indien s\u00f3 'n verwysingsraamwerk teen 'n beduidende breukdeel van die spoed van lig beweeg, sal die verloop van tyd nie noodwendig van toepassing wees op ander verwysingsraamwerke nie. Die spoed van lig word beskou as die enigste werklike konstante tussen verwysingsraamwerke.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Relatiewe Snelheid====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die snelheid van 'n voorwerp is raamwerk-afhanklik. Meer spesifiek, die waargenome snelheid van 'n voorwerp is afhanklik van die snelheid van die waarnemer. Byvoorbeeld, 'n persoon wat op die strand staan en die snelheid van 'n boot in die water waarneem sal verskillend wees van die waarneming van 'n passasier op dieselfde boot.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">==Werk, Krag en Energie==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Inleiding===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Gestel 'n straatverkoper dra 'n mandjie vol vrugte op haar kop. Doen sy enige ''werk''? O\u00ebnskynlik sal sy werk doen, maar in Fisika is dit nie die geval nie! Weereens, gestel 'n seun wat teen 'n muur stoot. Is hy besig om enige werk te doen? Daar sal waarskynlik waargeneem word hoe sy spiere saamtrek, en hy mag selfs sweet. Maar in Fisika doen die seun geen werk nie!</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Indien die straatverkoper die mandjie vir 'n baie lang afstand dra mag daar dalk 'n opmerking gemaak word dat sy baie ''energie'' het, wat beteken dat sy baie stamina besit. Indien 'n motor baie vinnig beweeg kan dit beskryf word as baie kragtig, oftewel dit besit baie ''drywing''. Dus is daar 'n verband tussen spoed en drywing. In Fisika beteken ''drywing'' egter iets anders. Hierdie hoofstuk beskryf die verband tussen ''werk'', ''energie'' en ''drywing''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Werk en energie is verwant aan mekaar. Die energie van 'n voorwerp is die kapasiteit daarvan om werk te verrig, en om werk te verrig is die proses van energie-omskakeling vanaf een vorm na 'n ander. Met ander woorde,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*'n voorwerp met baie energie kan baie werk doen, en</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*wanneer werk gedoen word, word energie verloor deur die voorwerp wat die werk verrig en opgeneem deur die voorwerp waarop die werk gedoen word.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Deur 'n voorwerp op te tel of te gooi vereis dat werk gedoen moet word \u2014 werk word op die voorwerp gedoen. Selfs met die opwekking van elektrisiteit vereis dat 'n vorm van werk verrig moet word. Iets moet energie besit en dit oordra deur werk te doen sodat dinge kan gebeur.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Werk en Krag===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''Definisie van werk''': wanneer 'n krag op 'n voorwerp uitgeoefen word, en dit die voorwerp laat beweeg, word werk gedoen op die voorwerp, tensy die krag en verplasing loodreg is teenoor mekaar.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Krag F teen cos theta.png|thumb|center|200px|Die krag ''F'' veroorsaak dat die voorwerp met 'n afstand ''\u0394x'' verplaas word teen 'n hoek ''\u03b8''.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Dit beteken dat om werk te doen, moet 'n voorwerp 'n afstand ''d'' beweeg met 'n krag ''F'' wat daarop inwerk, op s\u00f3 'n wyse dat daar 'n nie-nul komponent van die krag bestaan in die rigting van die verplasing. Werk word dan bereken as:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:<math>W = F \\cdot \\Delta x \\cos \\theta <</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">waar </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:''F'' die toegepaste krag is,</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:''\u0394x'' is die verplasing van die voorwerp, en</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:''\u03b8'' is die hoek tussen die toegepaste krag en die rigting van die beweging.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Dit is baie belangrik om daarop te let dat vir werk wat gedoen word daar 'n komponent van die krag in die rigting van die beweging moet wees. Kragte loodreg tot die rigting van beweging doen nie werk nie.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Krag teen rigting van verplasing.png|thumb|center|400px|(a) Die krag ''F'' veroorsaak dat die voorwerp verplaas word met ''\u0394x'' in dieselfde rigting van die krag. ''\u03b8'' = 180\u00b0 en ''cos\u03b8'' = 1. Werk word wel hier gedoen. (b) 'n Krag ''F'' werk in op 'n voorwerp. Die voorwerp word verplaas met ''\u0394y'' loodreg teen die krag. ''\u03b8'' = 90\u00b0 en ''cos\u03b8'' = 0. Werk word egter nie hier gedoen nie.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''Belangrik:''' Die betekenis van ''\u03b8'' is die hoek tussen die krag vektor en die veplasingsvektor. Vir die volgende gevalle is ''\u03b8 = 0\u00b0'':</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[L\u00eaer:Krag en verplasing </ins>- <ins class=\"diffchange diffchange-inline\">theta gelyk aan nul</ins>.<ins class=\"diffchange diffchange-inline\">png|thumb|center|450px]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Soos met alle fisiese mates moet werk eenhede h\u00ea. Soos vanuit die definisie van werk word dit gemeet in ''N\u00b7m''</ins>. <ins class=\"diffchange diffchange-inline\">Die naam wat vir hierdie kombinasie van SI-eenhede gegee word is die joule (simbool: ''J'')</ins>.</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">:'''Definisie van joule''': 1 joule is die werk wat verrig word wanneer 'n voorwerp 1 meter beweeg met 'n krag gelykstaande aan 1 newton wat daarop inwerk, in die rigting van die beweging.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Die werk wat deur 'n voorwerp gedoen word kan positief of negatief wees. Sedert die krag (''F'') en verplasing (''s'') albei vektore is, is die uitslag van die bogenoemde vergelyking afhanklik van die rigtings:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*Indien ''F'' in dieselfde rigting as die beweging inwerk sal positiewe werk gedoen word. In hierdie geval sal die voorwerp waarop die krag inwerk se energie toeneem.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*Indien die beweging en ''F'' se rigtings teenoorgesteld is, sal negatiewe werk gedoen word. Dit beteken energie word oorgedra in die teenoorgestelde rigting. Byvoorbeeld, indien 'n motor opwaarts teen 'n heuwel gestoot word deur 'n krag opwaarts, maar die motor beweeg afwaarts word daar negatiewe werk op die motor gedoen. Die teenoorgestelde daarvan is dat die motor positiewe werk op die persoon doen.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Werk en Meganiese Energie===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">====Eksterne en Interne Kragte====</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">In die Graad 10 sillabus was die behoud van meganiese energie ondersoek \u2013 meganiese energie bly behoue in die afwesigheid van eksterne kragte. Dit is belangrik om te weet of 'n krag intern of ekstern is, omdat dit bepaal of 'n krag die vermoe\u00eb beskik om 'n voorwerp se totale meganiese energie te be\u00efnvloed wanneer daar werk op die voorwerp gedoen word.</br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Wanneer 'n eksterne krag (soos wrywing, lugweerstand, en kragte wat op 'n voorwerp inwerk) op 'n voorwerp inwerk sal die totale meganiese energie (die kinetiese energie en die potensi\u00eble energie) van die voorwerp verander. Indien positiewe werk verrig word, sal die voorwerp energie wen. Indien negatiewe werk verrig word, sal die voorwerp energie verloor. Die wins of verlies van energie kan in die vorm van kinetiese of potensi\u00eble energie, of albei, geskied. Die werk wat egter gedoen word is gelyk aan die verandering van die voorwerp se meganiese energie.<</ins>/<ins class=\"diffchange diffchange-inline\">br ></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Wanneer 'n interne krag op 'n voorwerp inwerk (soos gravitasie- en veerkragte), sal die totale meganiese energie (die kinetiese en potensi\u00eble energie) van die voorwerp konstant bly, maar die voorwerp se energie kan van vorm verander.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">===Drywing===</ins></div></td></tr>\n"
}
}