Consider an iceberg to be in the form of a cylinder of arbitrary diameterand floating in the ocean as shown. If the cylinder extends 2 m abovethe ocean’s surface, determine the depth of the cylinder below thesurface. The density of ocean water is w = 1024 kg/m3, and the densityof ice is I = 935 kg/m3.

A plastic block of mass m is floating on the water's surface. Some of the block is under the water and some is above. The block is exactly 4cm thick and 2.8cm beneath the surface of the water.   If the density of the water is given as pw = 1000kg/m^3, calculate the density of the plastic block.

A large rectangular cube made of wood has the follow dimentions: a height, h = 2m, and an area od A = 0.25m^2. The wood that the cube is made of has a density of 800kg/m^3. The cube is then place vertically in water where it floats to rest. The density of the water is 1000kg/m^3. Then the cube is pushed down slightly (by a distance y) and released. The resulting motion is simple harmonic motion.    A) Determine the mass of the cube. B) Determine the depth,d, that the cube will float. C) If the cube is pushed further down under water by a distance, y, write an expression for the net force on the block in terms of: y,A,g,p. Where g=9.8m/s^2 D)Use the expression for the net forcee found in part C), and apply newton's second law (Fnet = ma) to the situation of the cube that is being pushed down slightly to derive an equation for the vertical accerlation (ay) (hint: dont forget to pick a positive direction)  Compare your results from part D) to the equation for simple harmonic motion using…

A spherically shaped balloon has a radius of 12 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargovolume itself. (The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)

A life preserver is manufactured to support a 70 kg person with 25% of his volume out of the water.   If the density of the life preserver is 100 kg/m^3 and it is completely submerged, what must its volume be? Assume that the density of the person to be about the same as the density of water, 1000 kg/m^3. Express your answer with the appropriate units.

(a) If the density of an object is exactly equal to the density of a fluid, the object will (1) float, (2) sink, (3) stay at any height in the fluid, as long as it is totally immersed. (b) A cube 8.5 cm on each side has a mass of 0.65 kg. Will the cube float or sink in water? Prove your answer.

The density of ice is 917 kg/m^3, and the approximate density of the seawater in which an iceberg floats is 1025 kg/m^3. What fraction of the iceberg is beneath the water surface?

A spherically shaped balloon has a radius of 11.5 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 800 kg? Neglect the buoyant force on the cargovolume itself.(The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)