a boat with a flat bottom and its cargo weigh 5000 N. the area of the boats bottom is 4m^2 how far below the surface of the water is the boats bottom when it is floating in water

Bird bones have air pockets in them to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 49.3 g and its apparent mass when submerged is 4.06 g (the bone is watertight). (a) What mass (in g) of water is displaced? (b) What is the volume (in cm3) of the bone? (c) What is its average density (in g/cm3)?

An object has a weight of 2.46 N  in air and has a volume  of  2 x 10^−5m^3. What is  its weight when completely submerged in water? What volume of water is displaced? What is the buoyant force of the water on the object?

You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3ρw=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.221 m0.221 m. The fluid that is floating on top of the water is 0.342 m0.342 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa1.049×105 Pa, what is the density, ?lρl, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2g=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 PaP0=1.013×105 Pa.

A symmetric U-tube is open to the atmosphere at both ends. Water with a density 1x10^3 kg/m^3 is poured into a tube until the water rises halfway along the straight sides. Then some unknown liquid with a density of 8.5 x 10^2 kg/m^3 is poured into one end. This causes the water surface on that side to go down by 9mm. Calculate the height of the unknown liquid in the tube, h.

A solid, square of floating ice measuring 5 m on a side and 0.33 meter thick floats partially submerged in water.  Determine the number of penguins that can stand on the ice block without any of them getting their flippers wet? (i.e. such that the top surface of the ice block floats at water level)?  Assume that the mass of each penguin is 10 kg. Round your answer to the nearest whole number of penguins. Assume the density of saltwater is 1030 kg/m3 and the density of ice is 980 kg/m^3