Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 45 · Question 6
9709
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Two particles A and B of masses km and m respectively, where k and m are constants, are free to move in a straight line on a smooth horizontal plane. Particle A is projected towards B with speed 2u and at the same instant B is projected towards A with speed u. The particles collide. After the collision the speed of A is u and both particles move in the same direction as A’s original motion. It is given that 35% of the total kinetic energy is lost in the collision. Find, in terms of u, the speed of B after the collision. [8]
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