| Exam Board | CAIE |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2012 |
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| Session | June |
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| Topic | Momentum and Collisions 1 |
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2 Two particles, of masses \(3 m\) and \(m\), are moving in the same straight line towards each other with speeds \(2 u\) and \(u\) respectively. When they collide, the impulse acting on each particle has magnitude \(4 m u\). Show that the total loss in kinetic energy is \(\frac { 4 } { 3 } m u ^ { 2 }\).