| Exam Board | CAIE |
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2014 |
| Session | November |
| Topic | Momentum and Collisions 1 |
1 Two smooth spheres \(A\) and \(B\), of equal radii and masses \(2 m\) and \(m\) respectively, lie at rest on a smooth horizontal table. The spheres \(A\) and \(B\) are projected directly towards each other with speeds \(4 u\) and \(3 u\) respectively. The coefficient of restitution between the spheres is \(e\). Find the set of values of \(e\) for which the direction of motion of \(A\) is reversed in the collision.