An aluminium wire is wound on a piece of cork of mass `m_("cork")`. The densities `rho_("cork")`, `rho_(a1)`, and `rho_(w)`, of cork, aluminium, and water are `0.5 xx 10^(3) kg//m^(3), 2.7 xx 10^(3) kg//m^(3)`, and `1 xx 10^(3) kg//ms` respectively. Determine the minimum mass ma t of the wire that should be wound on the cork so that the cork with the wire is completely submerge 1 in water.