<aside> 📌 Glancing collision: a collision in which the first object, after an impact with the second object, travels at an angle to the direction it was originally travelling

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For objects in motion in two dimensions, the change in momentum for each component can be considered independently:

$\Sigma \overrightarrow F_x \triangle t = \triangle \overrightarrow p_x$

$\Sigma \overrightarrow F_y \triangle t = \triangle \overrightarrow p_y$

The conversion of momentum equation can be expressed in terms of horizontal and vertical components: $\overrightarrow p_{i1x} + \overrightarrow p_{i2x} = \overrightarrow p_{f1x} + \overrightarrow p_{f2x}$

$\overrightarrow p_{i1y} + \overrightarrow p_{i2y} = \overrightarrow p_{f1y} + \overrightarrow p_{f2y}$

• Always take direction into consideration!

Final momentum: $\overrightarrow P = \sqrt{mv^2_x + mv^2_y}$ (for perfectly inelastic collisions)