Oblique Collisions with a Surface (Edexcel A-Level Further Mathematics): Flashcards

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Oblique Collisions with a Surface
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How is velocity resolved in oblique collision?

Into perpendicular and parallel components to the surface

What applies perpendicular to surface in oblique collision?

Newton's law of restitution

Why is parallel velocity unchanged in oblique impact?

No impulse acts in the parallel direction

Formula: perpendicular velocity after collision

v⊥,after=−ev⊥,beforev_{\perp, \text{after}} = -e v_{\perp, \text{before}}

Range of coefficient of restitution ee

0≤e≤10 \leq e \leq 1

Formula: parallel velocity after collision

v∥,after=v∥,beforev_{\parallel, \text{after}} = v_{\parallel, \text{before}}

Formula: loss of kinetic energy in oblique collision

ΔKE=12m(1−e2)v⊥,before2\Delta KE = \frac{1}{2}m(1 - e^2)v_{\perp,\text{before}}^2

Which component contributes to kinetic energy loss?

Only the perpendicular component

Where does restitution apply in oblique collision?

Only perpendicular to the surface

Direction of perpendicular component after impact?

Reverses direction

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