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June 2021 p41 q3
3390
Three particles P, Q and R, of masses 0.1 kg, 0.2 kg and 0.5 kg respectively, are at rest in a straight line on a smooth horizontal plane. Particle P is projected towards Q at a speed of 5 m s-1. After P and Q collide, P rebounds with speed 1 m s-1.
Find the speed of Q immediately after the collision with P.
Q now collides with R. Immediately after the collision with Q, R begins to move with speed V m s-1.
Given that there is no subsequent collision between P and Q, find the greatest possible value of V.
Solution
(a) Using conservation of momentum for the collision between P and Q: