Answer true or false. If a square, flat surface is suspended vertically in water and its center is 64 m deep, the force on the bottom side of the object will triple if the object is relocated to a depth of 192 m. Neglect the effect of the atmosphere above the liquid.

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Quizplus · Accepted Answer

The force exerted by a fluid in rest on an object submerged in it depends on the depth of the object, the area of the object, and the density of the fluid, according to the formula $P = \rho gh$, where $P$ is the pressure, $\rho$ is the density of the fluid, $g$ is the acceleration due to gravity, and $h$ is the depth of the fluid. Although the pressure does increase with depth, it does not triple when the depth is tripled; it increases linearly with depth. Therefore, if the depth triples, the pressure (and thus the force, since $F = PA$, where $A$ is the area) also triples, assuming the area and the fluid density remain constant.

Answer True or False