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Two-Dimensional Collision Questions

Edexcel A-level PhysicsFurther MechanicsLesson 15 of 15

Two-dimensional collision questions combine everything in this topic. A reliable approach:
1. Sketch all velocities (with angles) before and after.
2. Resolve every momentum along x and y.
3. Conserve momentum in x and in y separately.
4. Solve, then recombine with Pythagoras and tan.
5. If asked, compare total kinetic energy before and after to test for an elastic collision.

Diagram

Worked example: a 0.20 kg ball moving at 5.0 m s-1 strikes an identical stationary ball and moves off at 4.0 m s-1 at 37° to its original direction. Find the second ball's velocity; is the collision elastic?

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Key terms in this lesson

elastic collision
A collision in which the total kinetic energy of the colliding objects is conserved.

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