A solid block of wood of mass \(m\) and uniform density \(\rho\) is completely submerged in a tank of water of density \(\rho_w\), where \(\rho < \rho_w\). A light, taut string connects the bottom of the block to the bottom of the tank, holding the block in static equilibrium. In terms of \(m\), \(g\), \(\rho\), and \(\rho_w\), what is the tension in the string?