A submarine under the sea has a lower density than the seawater around it, which is 1 025 kg/m3, because most of the submarine’s volume consists of air that has a density of 1.225 kg/m3. If 90% of the submarine’s volume is air and 10% of its volume is steel of density 7 700 kg/m3, how many times greater is the upthrust force that the water applies to the submarine than the submarine’s weight? Round your answer to one decimal place.
A cube-shaped object, with sides that are 130 cm long each, has a density of 950 kg/m3. The cube is placed into a body of water. The water has a density of 1 000 kg/m3.
What is the volume of the object in cubic meters?
What is the mass of the object? Answer to the nearest kilogram.
How many cubic meters of water have a mass equal to that of the object?
How far below the water’s surface must the base of the object be in order to displace a mass of water equal to that of the object? Answer to the nearest centimeter.
A cylindrical object is at rest in water with its top circular face just at the water’s surface, as shown in the diagram. The water pressure at the base of the object is 1 200 Pa. The area of a circular face of the object is 2.45 m2. What must the mass of the object be for its weight to be equal to the force that the water exerts on the submerged circular face of the object?