Exam-Style Problem

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Nov 2005 p4 q7
3585

Two particles A and B, of masses 0.3 kg and 0.2 kg respectively, are attached to the ends of a light inextensible string which passes over a smooth fixed pulley. Particle B is held on the horizontal floor and particle A hangs in equilibrium. Particle B is released and each particle starts to move vertically with constant acceleration of magnitude a m s-2.

  1. Find the value of a.
  2. Particle A hits the floor 1.2 s after it starts to move, and does not rebound upwards.

  3. Show that A hits the floor with a speed of 2.4 m s-1.
  4. Find the gain in gravitational potential energy by B, from leaving the floor until reaching its greatest height.
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