Jack Could Have Lived

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.

Calculations:

Volume of Board

V=1.90125 m² X 0.2 m

V=.38025 m³

Jack is 73 kg

Rose is 63 kg

Buoyant Force of the Wood

F_b=PVG

F_b=(1025 kg/m³)(.38025 m³)(9.8 m/s²)

F_b=3819.61125 N

ΣF=F_b+Mg_wood+ Mg _(rose+jack)

ΣF=(3819.61125 N) - 228 kg(9.8m/s²) - (73+63kg)(9.8m/s²)

ΣF=252.41125 N

The total force is still pointing upward so Rose and Jack could have both fit on the board and been saved.