A small, smooth cube made of wood that has a mass density of \(850 \mathrm{~kg} / \mathrm{m}^{3}\) is dropped from rest \(5.00 \mathrm{~m}\) above the surface of a lake. Determine (a) the maximum depth the cube reaches and \((b)\) the time interval the wood is under water before it returns to the surface. Assume that viscous drag is negligible so that the only force the water exerts on the cube is the buoyant force.