An explosion blows a rock into three parts Two parts go off at right angles to each other. These
two are, $1\, kg$ first part moving with a velocity of $12\, ms ^{-1}$ and $2\, kg$ second part moving with a velocity of $8\, ms ^{-1}$. If the thirds part files off with a velocity of $4\, ms ^{-1}$, its mass would be :