I analyzed the scene in the Titanic where Rose is on a piece of wood and jack is in the water. I wanted to determine whether Jack and Rose could both fit onto the piece of wood because I think Rose was being selfish. I estimated that the piece of wood to be a rectangle with a length of 1.69 m and a width of .75m connected to a triangle with the same height and width. I estimated the thickness of the board to be .2 meters.
Volume of Board
V=1.90125 m2 X 0.2 m
Jack is 73 kg
Rose is 63 kg
Buoyant Force of the Wood
Fb=(1025 kg/m3)(.38025 m3)(9.8 m/s2)
ΣF=Fb+Mgwood+ Mg (rose+jack)
ΣF=(3819.61125 N) - 228 kg(9.8m/s2) - (73+63kg)(9.8m/s2)
The total force is still pointing upward so Rose and Jack could have both fit on the board and been saved.