6. Consider an empty river cargo barge which weighs 60 metric tons. The dimensions of the barge are W = 10 meters wide, L = 25 meters long, and H = 3 meters high. Determine the draft of the barge (i.e., depth of bottom of barge below river water surface) when the barge is loaded with 180 metric tons of cargo. (Note: 1 metric ton = 1000 kgf = 2000 lbs = 9806.7 N; 1 kgf = 9.8067 N)

Problem 4: Buoyancy I Pontoon bridges use buoyant forces to support loads. This problem will ask you to consider a 10 ft section of the pontoon bridge sketched below. The bridge deck is 4 ft wide, and each 10 ft section has five 55 gallon drums on each side. Each drum has a diameter of 22 in, so the cross-sectional area of each drum is 2.64 ft², and each drum is 2.79 ft tall. Assume the bridge deck and the bracing system for the drums weigh 2300 lb per 10 ft section but occupy negligible volume. The bridge floats in water with y = 62.3 lb/ft³. Part A What is the cross-sectional area of all ten drums? [ft²] Part B What is the volume of all ten drums? [ft³] Part C When the bridge is unloaded, what length of the drums will be underwater? [ft] PLAN VIEW ∞∞∞∞0 ooooo SECTION VIEW Part D How much weight can each 10 ft section carry without sinking? [lb]

Number 11 - 13 only

Mass 80 kg