Two particles $$\(A\)$$ and $$\(B\)$$ have masses $$\(m \mathrm{~kg}\)$$ and $$\(0.1 \mathrm{~kg}\)$$ respectively, where $$\(m>0.1\)$$. The particles are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley and the particles hang vertically below it. Both particles are at a height of $$\(0.9 \mathrm{~m}\)$$ above horizontal ground (see diagram). The system is released from rest, and while both particles are in motion the tension in the string is $$\(1.5 \mathrm{~N}\)$$. Particle $$\(B\)$$ does not reach the pulley. Find the speed at which $$\(A\)$$ reaches the ground. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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