Collisions in Two Dimensions
Real-world collisions don't always happen in straight lines - balls bounce off walls at angles, cars crash at junctions, and snooker balls scatter across tables. Two-dimensional collisions require you to consider momentum in both horizontal and vertical directions separately.
For oblique impacts against walls, momentum parallel to the wall doesn't change if speed stays constant. However, momentum perpendicular to the wall changes by -2mv sin θ, where θ is the angle of impact.
When solving 2D collision problems, use Pythagoras' theorem and trigonometry. Break the momentum into components, apply conservation of momentum to each direction, then combine the results. The maths might look intimidating, but it's just careful application of the same principles.
💡 Pro strategy: Always draw a clear diagram showing before and after velocities with their angles - it makes the vector calculations much easier to follow and reduces mistakes.