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The Système International SI Units GEL2006 More free powerpoints at www.worldofteaching.com

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Base Quantity Base Unit NameSymbolNameSymbol Time Length Mass Temperature Electric Current Amount of Substance Luminous Intensity t l m T, Ө I n (not in A Level) second metre kilogram kelvin ampere mole candela s m kg K A mol cd

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Physical Quantity Defined as :UnitSpecial Name velocity acceleration density momentum force pressure work (energy) power electrical charge potential difference resistance

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Homogenous Equations E p = m g h = Nm = kg kgms -2 kg -1 m kgms -2 m = kgm 2 s -2 kgm 2 s -2 = kgm 2 s -2 This equation is homogenous JkgNkg -1 m

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Homogenous Equations v 2 = u 2 +2ax = + m 2 s -2 = m 2 s -2 + m 2 s -2 This equation is homogenous m 2 s -2 m 2 s -2 ms -2 m

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Homogenous Equations F = mv r = kgms -2 = kgs -1 This equation is not homogenous Nkgms -1 m -1

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Homogenous Equations What is missing? kgms -2 = kgs -1 The equation should read: F = mv 2 r ms -1 =v on rhs

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Homogenous Equations Try these: E k = ½ m v 2 and v = u + at 2 J = kg m 2 s -2 N m = kg m 2 s -2 kg m 2 s -2 = kg m 2 s -2 OK ms -1 = ms -1 + ms -2 s 2 ms -1 = ms -1 + m Not OK s -1 is missing, so equation should read: V = u + at

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Homogenous Equations Homework: Show that these equations are homogenous a) x = ut + ½at 2 b) T = 2π√l/g c) v = fλ d) I = nAve e) W = ½CV 2 What is missing here? f) F = mv - mu

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