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Chapter 13, “Momentum and Collisions”

Axis-Aligned Vector Reflection

If the stationary boundary is vertical, vf = [–vix viy] and if the stationary boundary is horizontal, vf = [vixviy] for incoming velocity vi = [vix viy].

Non-Axis-Aligned Vector Reflection

vf = 2 * P + vi

where vi = the incoming velocity and P = the projection of –vi onto the normal of the boundary line.

Momentum

p = mv

where m = mass and v = velocity.

Impulse

Impulse = Ft

where F = net force and t = a very small amount of time.

Impulse-Momentum Theorem

Impulse = Ft = (Δp)

where F = net force, t = a very small amount of time, and p = momentum.

Conservation of Momentum Theorem

m1v1i + m2v2i = m1v1f + m2v2f

where the 1 subscript represents object 1 and the 2 subscript represents ...

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