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Chapter 13, "Momentum and Collisions"Axis-Aligned Vector ReflectionIf the stationary boundary is vertical, vf = [–vix viy] and if the stationary boundary is horizontal, vf = [vix –viy] for incoming velocity vi = [vix viy]. Non-Axis-Aligned Vector Reflectionvf = 2 * P + vi where vi = the incoming velocity and P = the projection of –vi onto the normal of the boundary line. Momentump = mv where m = mass and v = velocity. ImpulseImpulse = Ft where F = net force and t = a very small amount of time. Impulse-Momentum TheoremImpulse = Ft = (Dp) where F = net force, t = a very small amount of time, and p = momentum. Conservation of Momentum Theoremm1v1i + m2v2i = m1v1f + m2v2f where the 1 subscript represents object 1 and the 2 subscript represents object 2. Linear Collision(v1f – v2f) = –e(v1i – v2i) where e = coefficient of restitution (0 < e < 1). |
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