A cube, 10 cm on a side, is tethered to the bottom of an aquarium. The aquarium is filled with heavy cream, which has a density of 1.5 g/cm3. The top half of the cube has a mass of 400g and the bottom half of the cube has a mass of 200g. a. Determine the buoyant force exerted on the block by the cream. b. Determne the tension in the string. c. The top half of the block suddenly breaks free form the bottom half and accelerates toward the surface. Find the magnitude of its acceleration right after it breaks free. d. When the top half of the block reaches the surface, it floats. What volume of the top half is now above the surface of the cream? Explain your reasoning. e. Find the new tension of the string, now that the top half of the block is gone.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A cube, 10 cm on a side, is tethered to the bottom of an aquarium. The aquarium is filled with heavy cream, which has a density of 1.5 g/cm3. The top half of the cube has a mass of 400g and the bottom half of the cube has a mass of 200g.
a. Determine the buoyant force exerted on the block by the cream.
b. Determne the tension in the string.
c. The top half of the block suddenly breaks free form the bottom half and accelerates toward the surface. Find the magnitude of its acceleration right after it breaks free.
d. When the top half of the block reaches the surface, it floats. What volume of the top half is now above the surface of the cream? Explain your reasoning.
e. Find the new tension of the string, now that the top half of the block is gone.
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