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9709 P41 - Jun 2021 - 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.

  1. Find the speed of Q immediately after the collision with P.
  2. Q now collides with R. Immediately after the collision with Q, R begins to move with speed V m s-1.
  3. Given that there is no subsequent collision between P and Q, find the greatest possible value of V.
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