ARTSSCI 2D06 Study Guide - Midterm Guide: Lorentz Transformation, Quadratic Equation, Calculator
9 Jan 2019
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Complete solutions must be shown to obtain full marks for any of the problems. Taylor series: (1 + x)a 1 + ax. B2 4ac)/2a x = ( b for small x. Constant acceleration: x = x0 + v0t + 1. 2 at2, v = v0 + at, v2 = v2. Fab = fba unit vectors (i, j, k) Kinetic energy: k = (1/2)mv2 f sn. Moment of inertia of hoop: i = m r2. Centripetal acceleration: v1 = (m1 m2) (m1+m2) u1, ac = v2/r v2 = 2m1 (m1+m2) u1. Reverse lorentz tranformation: x = (x + vt ), t = (t + v c2 x ) x = (x vt), t = (t v c2 x). Kinetic energy: k = ( 1)mc2 c = 300, 000 km/sec = 3. 00 108 m/sec (speed of light) G = 6. 67 10 11 n m2/kg2 (newton"s law of gravity constant) g = 9. 8 m/s2 (acceleration of gravity near surface of earth)
