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formulasheet2-coversheet(1)

formulasheet2-coversheet(1) - Formula Sheet for LSU Physics...

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Formula Sheet for LSU Physics 2101, Exams, Spring ’11 Units: 1m = 39.4in = 3.28ft 1mi = 5280ft 1min = 60s, 1day = 24h 1rev = 360 = 2 π rad Constants: g = 9.8m/s 2 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 | ~ b 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 , ~a × ~ b = | ~a | ~ b sin( φ ) Equations of Constant Acceleration: linear equation along x missing v x = v ox + a x t x - x o x - x o = v ox t + 1 2 a x t 2 v x v 2 x = v 2 ox + 2 a x ( x - x o ) t x - x o = 1 2 ( v ox + v x ) t a x x - x o = v x t - 1 2 a x t 2 v ox 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 ) x - gx 2 2( v o cos θ o ) 2 R = v 2 o sin(2 θ o ) g Newton’s Second Law: X
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