Spring 2007 - Scott Pratt- PHY231, Spring 2007 - Introduct...

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Unformatted text preview: Scott Pratt- PHY231, Spring 2007 - Introduct 1 Midterm 2 (lecture students) Scott Pratt Do not open exam until instructed to do so. Scott Pratt- PHY231, Spring 2007 - Introduct 3 Midterm 2 (lecture students) Quadratic Formula ax 2 + bx + c = 0, x = [- b b 2- 4 ac ] / (2 a ) Geometry Circle: circumference=2 R , area= R 2 Sphere: area=4 R 2 , volume=4 R 3 / 3 Trigonometry a A B b C sin = A C , cos = B C tan = A B A B C sin A = sin B = sin C A 2 + B 2- 2 AB cos = C 2 Polar Coordinates x = r cos , y = r sin , r = p x 2 + y 2 , tan = 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, 1 liter=10- 3 m 3 g = 9 . 81 m/s 2 , G=6 . 67 10- 11 Nm 2 /kg 2 1 atm=1 . 013 10 5 Pa, 0 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 = 5 . 67 10- 8 W/(m 2 K 4 ) v sound = 331 p T/ 273 m/s H 2 0: c ice , liq ., steam = { . 5 , 1 . , . 48 } cal/g C L F,V = { 79 . 7 , 540 } cal/g, = 1000 kg/m 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 = a x Range : R = ( v 2 /g ) sin2 Forces, Work, Energy, Power, Momentum & Impulse F = ma , Gravity: F = mg, PE = mgh Friction: f = N , Spring: F =- kx, PE = (1 / 2) kx 2 W = Fx cos , KE = (1 / 2) mv 2 , P = E/ t = Fv p = mv, I = F t = p X cm = ( m 1 x 1 + m 2 x 2 + ) / ( m 1 + m 2 + ) Elastic coll.s: v 1- v 2 =- ( v 1- v 2 ) Rotational Motion = (1 / 2)( + f ) t, f = + t = t + (1 / 2) t 2 = f t- (1 / 2) t 2 = (1 / 2) 2 f- (1 / 2) 2 = 2 /T = 2 f, f = 1 /T Rolling: a = r, v = r a c = v 2 /r = v = 2 r = rF sin = I, I point = mR 2 I cyl . shell = M R 2 , I sphere = (2 / 5) M R 2 I solid cyl ....
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Spring 2007 - Scott Pratt- PHY231, Spring 2007 - Introduct...

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