a) What volume must a (450 kg) cube have in order to float in water? b) Suppose now that the cube from part (a) has 1/3 of the volume needed to float (so it sinks into the ocean). What is the total force on the sides of the cube at a depth of (260 m) below the ocean surface?

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 scale reads 100 N when a piece of aluminum is hanging from it. What does it read when it is lowered so that the aluminum is submerged in water? The mass density of aluminum is 2700 kg/m^3. Be careful, you are given mass density instead of weight density, and we are using SI units.i need answer in problem sigfig

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.

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

A flat-bottomed aluminum fishing boat has a mass of 60 kg and an area of 4.0 m2. When it is launched into the water (density 1,000 kg/m3), how far (in m) below the surface of the water does the bottom of the boat sink? B. A fisherman and his buddy climb into the boat. If they, along with their gear, have a mass of 300 kg, how much farther (in m) does the boat sink into the water?