Spring 2005 - Scott Pratt- PHY 231 - Introductory Physics I...

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Unformatted text preview: Scott Pratt- PHY 231 - Introductory Physics I - Spring 2005 1 midterm3 Scott Pratt Do not open exam until instructed to do so. Scott Pratt- PHY 231 - Introductory Physics I - Spring 2005 2 midterm3 Scott Pratt- PHY 231 - Introductory Physics I - Spring 2005 3 midterm3 Quadratic Formula ax 2 + bx + c = 0, x = [- b ± √ b 2- 4 ac ] / (2 a ) Geometry Circle: circumference=2 πR , area= πR 2 Sphere: area=4 πR 2 , volume=4 πR 3 / 3 Trigonometry a A B b C sin α = A C , cos α = B C tan α = A B a A B b C g sin α A = sin β B = sin γ C A 2 + B 2- 2 AB cos γ = C 2 Polar Coordinates x = r cos θ, y = r sin θ r = x 2 + y 2 , tan θ = y/x SI Units and Constants quantity unit abbreviation Mass m kilograms kg Distance x meters m Time t seconds s Force F Newtons N=kg m/s 2 Energy E Joules J=N m Power P Watts W=J/s Temperature T ◦ C, ◦ K or ◦ F T ◦ F = 32 + (9 / 5) T ◦ C Pressure P Pascals Pa=N/m 2 1 cal=4.1868 J, 1 hp=745.7 W g = 9 . 81 m/s 2 , G=6 . 67 × 10- 11 Nm 2 /kg 2 ◦ C=273.15 ◦ K, N A = 6 . 023 × 10 23 R = 8 . 31 J/(mol ◦ K), k B = R/N A = 1 . 38 × 10- 23 J/ ◦ K σ = 5 . 67 × 10- 8 W/(m 2 K 4 ) v sound = 331 T / 273 m/s H 2 0: c ice , liq ., steam = { . 5 , 1 . , . 48 } cal/g ◦ C L F,V = { 80 , 540 } cal/g, ρ = 1 . 0 g/cm 3 . 1-d motion, constant a x = (1 / 2)( v + v f ) t v f = v + at x = v t + (1 / 2) at 2 x = v f t- (1 / 2) at 2 (1 / 2) v 2 f- (1 / 2) v 2 = ax Momentum, Force and Impulse p = mv, F = ma = Δ p/ Δ t I = F Δ t = Δ p Friction: F fric = μN Spring: F =- kx Scott Pratt- PHY 231 - Introductory Physics I - Spring 2005 4 midterm3 Work, Energy and Power W = F x cos θ, KE = (1 / 2) mv 2 , P = Δ E/ Δ t = F v Spring: P E = (1 / 2) kx 2 Rotational Motion v = ωr = 2 πr/T, ω = Δ θ/ Δ t = 2 πf = 2 π/T, f = 1 /T α = ( ω f- ω ) /t = a r L = Iω = mvr sin θ, ( θ = angle between v and r) KE = (1 / 2) Iω 2 = L 2 / (2 I ) τ = rF sin θ, Iα = τ, I point = mR 2 I cyl . shell = MR 2 , I sphere = (2 / 5) MR 2 I solid cyl . = (1 / 2) MR 2 , I sph . shell = (2 / 3) MR 2 a = v 2 /r = ωv = ω 2 r Gravity and circular orbits P E =- G Mm r , Δ P E = mgh (small h ) F = G Mm r 2 , GM 4 π 2 = R 3 T 2 Gases, liquids and solids P = F/A, P V = NRT, Δ P = ρgh (1 / 2) mv 2 = (3 / 2) k B T F bouyant = ρ displaced liq ....
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This note was uploaded on 04/10/2008 for the course PHY 231 taught by Professor Smith during the Spring '08 term at Michigan State University.

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Spring 2005 - Scott Pratt- PHY 231 - Introductory Physics I...

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