Statement
4.1.2. A rectangular prism is in a liquid; its dimensions are shown in the figure. Find the sum of the forces acting on the front and bottom faces of the prism if the pressure of the liquid is
Solution
The pressure on the faces of the prism:
Since the dimensions of the prism are small compared with the depth, we consider the pressure constant over its entire height.
The pressure forces on the front and bottom faces are equal and are determined by the hydrostatic pressure
Since the two faces are perpendicular, we find the resultant force using the Pythagorean theorem:
According to Pascal's law, the pressure is balanced, and the resultant force: