Elastic Collisions in 2D (Edexcel A-Level Further Mathematics): Quizzes

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Oblique Collisions with a Surface
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In an oblique collision, into which two directions is the velocity decomposed?

Perpendicular and parallel to surface

Where does Newton's law of restitution apply in an oblique collision?

Perpendicular to the surface

What happens to the parallel component of velocity during an oblique collision?

It remains unchanged

What is the formula for perpendicular velocity after collision?

v=euv_\perp = -e u_\perp

What is the valid range for the coefficient of restitution ee?

0e10 \leq e \leq 1

What is the formula for loss of kinetic energy in an oblique collision?

12m(1e2)u2\frac{1}{2}m(1 - e^2)u_\perp^2

Which velocity component contributes to the loss of kinetic energy?

Only the perpendicular component

What happens to the direction of the perpendicular component after collision?

It reverses direction

If u=6u_\perp = 6 ms⁻¹ and e=0.5e = 0.5, what is vv_\perp after collision?

3-3 ms⁻¹

Why does the parallel velocity remain unchanged in an oblique collision?

No impulse acts in that direction

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