PHYSICS ATAR COURSE YEAR 12 FORMULAE AND DATA BOOKLET 2017 Copyrigh School Curriculum and Sandards Auhoriy, 2016 This documen apar from any hird pary copyrigh maerial conained in i may be freely copied, or communicaed on an inrane, for non-commercial purposes in educaional insiuions, provided ha i is no changed and ha he School Curriculum and Sandards Auhoriy is acknowledged as he copyrigh owner, and ha he Auhoriy s moral righs are no infringed. Copying or communicaion for any oher purpose can be done only wihin he erms of he Copyrigh Ac 1968 or wih prior wrien permission of he School Curriculum and Sandards Auhoriy. Copying or communicaion of any hird pary copyrigh maerial can be done only wihin he erms of he Copyrigh Ac 1968 or wih permission of he copyrigh owners. Any conen in his documen ha has been derived from he Ausralian Curriculum may be used under he erms of he Creaive Commons Aribuion 4.0 Inernaional (CC BY) licence. This documen is valid for eaching and examining unil 31 December 2017. Physics Year 12 Formulae and Daa Bookle February 2017 Ref: 17-068
PHYSICS YEAR 12 2 FORMULAE AND DATA BOOKLET Graviy and moion Average velociy v av = s Equaions of moion v = u + a s = u + ½ a 2 v 2 = u 2 + 2as Force F ne = ma Weigh force F = mg Kineic energy E k = ½ mv 2 Graviaional poenial energy E p = m g Δh Work done W = Fs = ΔE Equaions of circular moion v = 2 r T a c = v 2 r F c = ma c = mv2 r Newon s law of universal graviaion Kepler's 3rd law Graviaional field srengh Momen of a force (force a angle θ o lever arm) F = G m 1 m 2 r 2 4 T 2 = 2 r GM 3 g = G M r 2 τ = r Fsinθ Noe: he variable refers o he 'ime aken', someimes referred o as he 'change in ime' or Δ. Wave paricle dualiy and he quanum heory Wave period Wave equaion Energy of phoon Energy ransiions Phooelecric effec De Broglie wavelengh T = 1 f c = fλ E = h f ΔE = E 2 E 1 = h f E k = h f W λ = h p See nex page
FORMULAE AND DATA BOOKLET 3 PHYSICS YEAR 12 Elecromagneism Coulomb's law Elecric field srengh Magneic field srengh F = 1 q 1 q 2 4 ε 0 r 2 F V q d E = = µ 0 B = 2 I r Magneic force on a charged paricle F = q v B where v B Magneic force on a curren-carrying conducor F = I l B where l B Paricle moion in a magneic field m v r = q B Torque on a coil τ = r F Magneic flux Ф = B A Elecromagneic inducion induced emf = l v B where v B (Ф induced emf = 2 Ф 1 ) N = N ΔФ = N Δ(B A ) Ohm s law Elecric curren AC generaor emf max = 2NlvB = 2 NBA f V = IR I = q Work and energy W = Vq emf rms = emf max 2 Ideal ransformer urns raio V P V s N P = Power P = VI N s Special relaiviy Relaivisic effecs v l = l 2 0 1 = 0 1 v 2 u = v + u v u 1 + u = u v v u 1 Relaivisic momenum p v = m v 1 v 2 Mass-energy equivalence E = m v 1 2 c 2 See nex page
PHYSICS YEAR 12 4 FORMULAE AND DATA BOOKLET The Sandard Model Elemenary paricles See nex page
FORMULAE AND DATA BOOKLET 5 PHYSICS YEAR 12 Physical daa Mean acceleraion due o graviy on he Earh... g = 9.80 m s -2 Mean acceleraion due o graviy on he Moon... g M = 1.62 m s -2 Mean radius of he Earh...R E Mass of he Earh...M E Mean radius of he Sun...R S Mass of he Sun...M S Mean radius of he Moon...R M Mass of he Moon...M M Mean Earh-Moon disance... Mean Earh-Sun disance... Mass of elecron...m e = 6.37 10 6 m = 5.97 10 24 kg = 6.96 10 8 m = 1.99 10 30 kg = 1.74 10 6 m = 7.35 10 22 kg = 3.84 10 8 m = 1.50 10 11 m = 9.11 10-31 kg Mass of proon...m p = 1.67 10-27 kg Tonne... 1 = 10 3 kg Physical consans Speed of ligh in vacuum or air... c = 3.00 10 8 m s -1 Elecron charge...e = 1.60 10-19 C Planck consan...h = 6.63 10-34 J s Newonian consan of graviaion... G = 6.67 10-11 N m 2 kg -2 Elecron vol... 1 ev = 1.60 10-19 J Elecronic consan...ε 0 = 8.85 10-12 F m -1 Magneic consan...µ 0 = 4 10 7 N A 2 = 1.26 10 6 N A 2 Elecromagneic specrum Noe: shaded areas represen regions of overlap. See nex page
PHYSICS YEAR 12 6 FORMULAE AND DATA BOOKLET Prefixes of he meric sysem Facor Prefix Symbol Facor Prefix Symbol 10 12 era T 10-3 milli m 10 9 giga G 10-6 micro µ 10 6 mega M 10-9 nano n 10 3 kilo k 10-12 pico p Mahemaical expressions Quadraic equaions Given ax 2 + bx + c = 0, x = b ± b2 4ac 2a Triangles The following expressions apply o he riangle ABC as shown: c B a A b C a sin A b = = sin B c sin C a = b 2 + 2bc cos A See nex page End of bookle
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ACKNOWLEDGEMENTS Elemenary paricles Adaped from Sandard Model image: MissMJ. (2006). File:Sandard Model of Elemenary Paricles.svg. Rerieved June, 2016, from hps://commons.wikimedia.org/wiki/file:sandard_model_of_elemenary_ Paricles.svg Used under Creaive Commons Aribuion 3.0 Unpored licence. Published by he School Curriculum and Sandards Auhoriy of Wesern Ausralia 303 Sevenoaks Sree CANNINGTON WA 6107