You have submerged a cubic box in sea water (Psea = 1030 kg m-³). The box has side length 1 = 20 cm, and has mass m = 6.00 kg. a. Calculate the average density of the box. b. Draw a free-body-diagram of the box and calculate the net force acting on it. Will the box float, sink, or remain at mid-water. You have to motivate your answer to obtain any points. c. If the top face of the box was at a depth h = 1.5 m, calculate the pressure water was exerting on the top face of the box. Patm = 1.01 × 105 Pa. d. With the box in the same position, calculate the force water was exerting on the bottom face of the box. Having established that the box would float in sea water, once the box ches its equilibrium position, calculate the fraction of the box that will be merged.
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.
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