At the end of the movie Titanic, Rose lies on a piece of furniture, floating in the ocean, and Jack drowns. A common objection posed to this scene is that there’s room on the furniture for Jack as well, so why didn’t she let him get on it with her?
Let’s assume that the piece of furniture has an area of 1.5 m , a thickness of 5 cm, and is made of pine (ρ = 350 kg/m3). Assuming Rose has a mass of 46 kg and Jack has a mass of 58 kg, could they have both managed to stay afloat on the raft together? Assume the density of seawater is approximately 1025 kg/m3 and that the raft is completely submerged when rose is on top of it.