Which equation represents the resultant force on a submerged surface?

The equation representing the resultant force on a submerged surface is correctly given by the product of pressure and area, which aligns with the choice stated.

In fluid mechanics, the pressure exerted by a fluid at a depth 'h' below its surface is defined as ( p = \rho gh ), where ( \rho ) is the fluid density, ( g ) is the acceleration due to gravity, and ( h ) is the depth. The resultant force on a surface submerged in a fluid is derived from the pressure acting on that surface area. Therefore, to determine the resultant force (F) on the submerged surface, you multiply the pressure (p) by the area (A) of the surface being acted upon:

[ F = p \cdot A ]

This relationship signifies that the force exerted on a surface is proportional to both the pressure at that depth and the total area over which it acts.

The other expressions, while related to fluid mechanics, do not directly represent the resultant force on a submerged surface. For example, the product of pressure and height or area alone does not account for the relationship necessary to quantify the force accurately. Thus, the equation ( p \cdot A ) encapsulates the essential