3D Billiard Ball Collision

3D Billiard Ball Collision Physics

This 3D simulation demonstrates the 53° angle needed for a billiard player to sink the target ball at 37° after an elastic collision.

Cue Ball Angle (θ₁): 53°

Target Angle: 37°

Collision Type: Elastic

Success: -

Physics Explanation:

For an elastic collision between equal mass billiard balls:

Momentum conservation:
v₁ᵢ = v₁f + v₂f

Energy conservation:
v₁ᵢ² = v₁f² + v₂f²

Combining these gives:
cos(θ₁ + θ₂) = 0 ⇒ θ₁ + θ₂ = 90°

For θ₂ = 37° (corner pocket):
θ₁ = 90° - 37° = 53°

The cue ball must strike the target ball at 53° to send it toward the pocket at 37°.

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3D Billiard Ball Collision Physics

Physics Explanation:

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11 Example 6.13

3D Billiard Ball Collision Physics

Physics Explanation:

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