105 - final exam - Fall 2008

105 - final exam - Fall 2008 - Fall 2008 Physics 105,...

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RED Barcode Here Physics 105, sections 1 and 2 Final Exam Please write your CID_____ Colton 2-3669 4 hour time limit. No notes. No books. No calculators. 100 points total, all problems equal weight. C onstants: g = 9.8 m/s 2 but you may use 10 m/ s 2 in nearly all cases G = 6.67 × 10 -11 N m 2 /kg 2 k B = 1.381 × 10 -23 J/K N A = 6.022 × 10 23 R = k B N A = 8.314 J/mol∙K σ = 5.67 × 10 -8 W/m 2 ∙K 4 Mass of Sun = 1.991 × 10 30 kg Mass of Earth = 5.98 × 10 24 kg Radius of Earth = 6.38 × 10 6 m Radius of Earth’s orbit = 1.496 × 10 11 m Density of water: 1000 kg/m 3 Density of air: 1.29 kg/m 3 Young’s modulus of steel: 20 × 10 10 N/m 2 Linear exp. coeff. of copper: 17 × 10 -6 / ° C Linear exp. coeff. of steel: 11 × 10 -6 / ° C Specific heat of water: 4186 J/kg ⋅° C Specific heat of ice: 2090 J/kg ⋅° C Specific heat of steam: 2010 J/kg ⋅° C Specific heat of aluminum: 900 J/kg ⋅° C Latent heat of melting (water): 33 × 10 5 J/kg Latent heat of boiling (water): 2.26 × 10 6 J/kg Thermal conduct. of aluminum: 238 J/s m ⋅° C sin(30 ° ) = 0.5 cos(30 ° ) 0.866 tan(30 ° ) 0.577 π 3.14 Conversion factors 1 inch = 2.54 cm 1 m 3 = 1000 L 1 atm = 1.013 × 10 5 Pa = 14.7 psi 32 5 9 + = C F T T 273.15 K C T T = + Other equations 2 4 2 b b ac x a - ± - = Surface area of sphere = 4 π r 2 Volume of sphere = (4/3) π r 3 2 i f ave v v v + = o v v at = + 2 1 2 o o x x v t at = + + 2 2 2 f o v v a x = + w = mg , PE g = mgy F = - kx , PE s = ½ kx 2 f = μ Κ N (or f S N ) P = F // ∙v = Fv cos θ F t = p Elastic: ( v 1 - v 2 ) bef = ( v 2 - v 1 ) after arc length: s = r v = r ϖ a tan = r α a c = v 2 / r 2 g GMm F r = , r GMm PE g - = I pt mass = mR 2 I sphere = (2/5) mR 2 I hoop = mR 2 I disk = (1/2) mR 2 I rod (center) = (1/12) mL 2 I rod (end) = (1/3) mL 2 sin L r p rp rp = = = stress = F / A ; strain = L / L Y = stress/strain gh P P ρ + = 0 VFR = A 1 v 1 = A 2 v 2 2 2 2 2 1 2 1 1 2 1 2 1 gy v P gy v P + + = + + T L L = 0 0 ; 3 V V T β = = T k mv KE B ave ave 2 3 2 1 2 = = ; Q mc T Q mL = = L T T kA T Q 1 2 - = 4 P e AT = |W on gas | = area under P-V curve = P V (constant pressure) 3 3 2 2 B U Nk T nRT = = (monatomic ideal gas) Q h = | W net | + Q c h c added net Q Q Q W e - = = 1 max 1 c h T e T = - m k = , k m T π 2 = L g = , g L T 2 = T v = , = m / L Y v = , B v = v air = 343 m/s at 20 ° C = 0 log 10 I I I 0 = 10 -12 W/m 2 0 ' S v v f f v v ± = ± ,... 3 , 2 , 1 2 = = n L v n f n ,... 5 , 3 , 1 4 = = n L v n f n Write your work on the exam pages if you wish. Of course also record your final answers on the bubble sheet . You will likely not get this exam booklet back, but please put your CID at the top of this page just in case. 1
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105 - final exam - Fall 2008 - Fall 2008 Physics 105,...

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