Final answer:
The buoyant force acting on the barge can be determined by finding the weight of the water displaced. The draft (submersion depth) of the barge can be calculated by dividing the volume of water displaced by the cross-sectional area of the barge. The stability of the barge depends on factors such as its shape, weight distribution, and the position of its center of gravity.
Step-by-step explanation:
To calculate the buoyant force on the barge when it is floating in water, we need to find the weight of water displaced. The buoyant force is equal to the weight of the water displaced by the barge. The formula to calculate buoyant force is given by Fb = ρgV, where ρ is the density of the fluid (water), g is the acceleration due to gravity, and V is the volume of the fluid displaced by the barge.
To calculate the draft (submersion depth) of the barge in the water, we can use Archimedes' principle. The buoyant force is equal to the weight of the water displaced by the barge. We can determine the draft by calculating the volume of water displaced and dividing it by the cross-sectional area of the barge.
The gravitational force acting on the barge can be determined using the formula Fg = mg, where m is the mass of the barge and g is the acceleration due to gravity.
The stability of the barge in different water conditions depends on factors such as its shape, weight distribution, and the position of its center of gravity. A barge with a lower center of gravity and a wide base will be more stable than a barge with a higher center of gravity and a narrow base.