Particles $$\(P\)$$ of mass $$\(m \mathrm{~kg}\)$$ and $$\(Q\)$$ of mass $$\(0.2 \mathrm{~kg}\)$$ are free to move on a smooth horizontal plane. $$\(P\)$$ is projected at a speed of $$\(2 \mathrm{~m} \mathrm{~s}^{-1}\)$$ towards $$\(Q\)$$ which is stationary. After the collision $$\(P\)$$ and $$\(Q\)$$ move in opposite directions with speeds of $$\(0.5 \mathrm{~m} \mathrm{~s}^{-1}\)$$ and $$\(1 \mathrm{~m} \mathrm{~s}^{-1}\)$$ respectively. Find $$\(m\)$$. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................

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