Written Challenge Problem, Fluid Statics: Wooden cube, density 620kg/m³, is 0.08m tall, 0.12m wide, and 0.12m thick. It floats in a liquid with density 900kg/m?. A string attached to the bottom of the container prevents the cube from floating up to the surface. Find the tension in the string. [8] 1) Draw a pictorial representation of the problem. 2) Draw a free body diagram of the wooden cube. 3) Choose a coordinate system. What direction will you designate as positive? 4) Write out the Newton's second law (net force) equation for the wooden cube. 5) What variables in the force equation can you fill in from the given information? 6) Substitute the given information into he force equation as appropriate, and solve for the tension. 7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result could be easily identified as not believable for this problem?

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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.