Problem 1 Consider a solid object floating along the interface between two fluids in quiescent state, as shown in figure 3. The solid object has volume V of which Vi is submerged in fluid 1 and V2 is submerged in fluid 2 (VV+V2). Let us define the volume fraction a such that V = aV and V = (1 - a)V. Given volumes V1, V2, and the density of both fluids P1, P2, determine the density of the solid object ps as a function of P1, P2, and a (5 pts). Based on your solution, estimate the volume fraction of draft ice that appears above sea water (find necessary physical values yourself) (1 pts). V P1 Ps V2 (g) P2 Figure 1: Problem setup for a solid floating at the interface of two fluids.