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Unformatted text preview: Equations for the Final Physics 6A, Winter 2008 Physical Constants Mass of the earth: m E = 5 . 974 10 24 kg Radius of the earth: r E = 6 . 378 10 6 m Gravitational constant: G = 6 . 67 10- 11 m 3 kg- 1 s- 2 Geometry Area of circle: A = r 2 Circumfrence of circle: C = 2 r Volume of sphere: V = 4 3 r 3 Density: = M V Vector Math For some vector vector r with components x and y : vector r = ( x,y ) Magnitude r = | vector r | = radicalbig x 2 + y 2 Angle = arctan ( y x ) x = r cos y = r sin vector r 1 + vector r 2 = ( x 1 + x 2 ,y 1 + y 2 ) Velocity and Acceleration Average velocity: vector v = vector x t Displacement in case of constant velocity: x = x + v x t Average acceleration: vector a = vector v t Velocity in case of constant acceleration: v x = v x + a x t Displacement in case of constant acceleration: x = x + v x t + 1 2 a x t 2 Velocity, acceleration, and displacement:...
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- Winter '07