A cube, 0.8 cm on a side, and a mass of 100 g is completely submerged under water (pwater = 1.0 g/cm3= 1000 kg/m3 ) and released. a) What is the density of the cube in g/cm3? b) Draw a free-body diagram for the cube. c) What is the buoyancy force on the cube? d) What is the acceleration of the block after being released under water? (include direction of acceleration in your answer)
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.
Given data
*The mass of the cube is m = 100 g = 0.100 kg
*The side of the cube is a = 0.8 cm = 0.8 × 10-2 m
*The given density of water is = 1000 kg/m3
(a)
The expression for the density of the cube is given as,
*Here V = a3 is the volume of the cube
Substitute the values in the above expression as
Thus the density of the cube is D = 195.31 g/cm3
(b)
The free-body diagram of the cube is given below
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