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formulasheetfinal

# formulasheetfinal - Formula Sheet for LSU Physics 2101...

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Formula Sheet for LSU Physics 2101, Exams, Spring ’11 Units: 1 m = 39.4 in = 3.28 ft 1 mi = 5280 ft 1 min = 60 s, 1 day = 24 h 1 rev = 360 = 2 π rad 1 atm = 1.013 × 10 5 Pa 1 cal = 4.187 J T = 1 K 1 C T C + 273 . 15 K T F = 9 F 5 C T C + 32 F Constants: g = 9.8 m/s 2 R Earth = 6 . 37 × 10 6 m M Earth = 5.98 × 10 24 kg G = 6.67 × 10 - 11 m 3 /(kg · s 2 ) R Moon = 1 . 74 × 10 6 m M Moon = 7.36 × 10 22 kg Earth-Sun distance = 1.50 × 10 11 m M Sun = 1.99 × 10 30 kg Earth-Moon distance = 3.82 × 10 8 m k = 1 . 38 × 10 - 23 J/K R = 8.31 J/(mol · K) Avogadro’s # = 6.02 × 10 23 particles/mol Properties of H 2 O: Density: ρ water = 1000 kg/m 3 Specific heat: c water = 4187 J/(kg K) c ice = 2220 J/(kg K) Heats of transformation: L vaporization = 2 . 256 × 10 6 J/kg L fusion = 3 . 33 × 10 5 J/kg Quadratic formula: for ax 2 + bx + c = 0 , x 1 , 2 = - b ± b 2 - 4 ac 2 a Magnitude of a vector: | ~a | = q a 2 x + a 2 y + a 2 z Dot Product: ~a · ~ b = a x b x + a y b y + a z b z = | ~a | fl fl fl ~ b fl fl fl cos( φ ) ( φ is smaller angle between ~a and ~ b ) Cross Product: ~a × ~ b = ( a y b z - a z b y ı + ( a z b x - a x b z + ( a x b y - a y b x ) ˆ k , fl fl fl ~a × ~ b fl fl fl = | ~a | fl fl fl ~ b fl fl fl sin( φ ) Equations of Constant Acceleration: linear equation along x missing missing rotational equation v x = v ox + a x t x - x o θ - θ o ω = ω o + α x t x - x o = v ox t + 1 2 a x t 2 v x ω θ - θ o = ω o t + 1 2 αt 2 v 2 x = v 2 ox + 2 a x ( x - x o ) t t ω 2 = ω 2 o + 2 α ( θ - θ o ) x - x o = 1 2 ( v ox + v x ) t a x α θ - θ o = 1 2 ( ω o + ω ) t x - x o = v x t - 1 2 a x t 2 v ox ω o θ - θ o = ωt - 1 2 αt 2 Vector Equations of Motion for Constant Acceleration: ~ r = ~ r o + ~v o t + 1 2 ~at 2 , ~v = ~v o + ~at Projectile Motion: (with + direction pointing up from Earth) x - x o = ( v o cos θ o ) t y - y o = ( v o sin θ o ) t - 1 2 gt 2 v x = v o cos θ o v y = ( v o sin θ o ) - gt v 2 y = ( v o sin θ o ) 2 - 2 g ( y - y o ) y = (tan θ o )

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formulasheetfinal - Formula Sheet for LSU Physics 2101...

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