Alright 👑ApN~Glam👑 — let's do this.
Step 1: Define initial conditions and set up equations for conservation of momentum and coefficient of restitution.
Let the direction of particle A's initial motion be positive.
- Mass of particle A: mA=m
- Mass of particle B: mB=3m
- Initial velocity of particle A: uA=4u
- Initial velocity of particle B: uB=−u (since it's moving towards A)
- Final velocity of particle A: vA
- Final velocity of particle B: vB
- Coefficient of restitution: $e