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105 - exam 4 - Fall 2009

# 105 - exam 4 - Fall 2009 - Fall 2009 Physics 105 sections 1...

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Fall 2009 RED barcode here Physics 105, sections 1 and 2 Exam 4 Colton 2-3669 Please write your CID here _______ No time limit. No notes. No books. Testing Center calculators only. 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 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): 3.3 × 10 5 J/kg Latent heat of boiling (water): 2.26 × 10 6 J/kg Thermal conduct. of aluminum: 238 J/s m ⋅° C v air = 343 m/s at 20 ° 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 = 2 4 r π Volume of sphere = ( 29 3 4 3 r π 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 k f N μ = (or s f N μ ) // cos P F v Fv θ = = F t p ∆ = ∆ r r Elastic: ( v 1 - v 2 ) bef = ( v 2 - v 1 ) after arc length: s r θ = v r ϖ = tan a 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 θ = = = 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 ρ ρ ρ ρ + + = + + T L L = 0 α 0 ; 3 V V T β β α = = 2 1 3 transl. 2 2 ave ave B KE mv k T = = ; Q mc T Q mL = = L T T kA T Q 1 2 - = 4 P e AT σ = |W on gas | = area under P-V curve = P V (constant pressure) = ( 29 2 1 ln nRT V V (isothermal) = U (adiabatic) 3 3 2 2 B U Nk T nRT = = (monatomic) 5 5 2 2 B U Nk T nRT = = (diatomic, 300K) 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 = ϖ , k m T π 2 = L g = ϖ , g L T π 2 = μ T v = , m L μ = = 0 log 10 I I β 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 1 Did you write down your CID at the top of the page? _______ If not, you may not get this test booklet back.

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Instructions: Record your answers on the bubble sheet. The Testing Center no longer allows students to see which problems they got right & wrong, so I strongly encourage you to mark your answers in this test booklet . You will get this test booklet back (but only if you write your CID at the top of the first page ). You may write on this exam booklet, and are strongly encouraged to do so. In all problems, ignore friction, air resistance, and the mass of all springs, pulleys, ropes, cables, strings etc., unless specifically stated otherwise.
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105 - exam 4 - Fall 2009 - Fall 2009 Physics 105 sections 1...

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