Three vessels have different shapes, but the area of their bottom surface is

the same, and all three are filled with water with the same depth (1.|_|
2.\_/ 3./_\ ). Rank the
magnitudes of the net forces exerted by the water on the bottom surface.

the same depth means the same pressure at the bottom

the forces are equal

To rank the magnitudes of the net forces exerted by the water on the bottom surface of the three vessels, we need to consider the principles of fluid pressure and surface area.

Fluid pressure at a given depth is determined by the height of the fluid column above it and the density of the fluid. Since the depth of water is the same in all three vessels, we can assume that the fluid pressures are equal.

The magnitude of the net force exerted by a fluid on a submerged object is determined by multiplying the fluid pressure by the surface area. Therefore, to rank the magnitudes of the net forces, we need to compare the surface areas of the bottom surfaces of the vessels.

Let's analyze the shapes of the three vessels and compare their bottom surface areas:

1. Vessel 1: |_|
The shape of the bottom surface is a rectangular shape, which has a larger surface area compared to the other two vessels.

2. Vessel 2: \_/
The shape of the bottom surface is a triangular shape, which has a smaller surface area compared to Vessel 1 but larger than Vessel 3.

3. Vessel 3: /_\
The shape of the bottom surface is a trapezoidal shape, which has the smallest surface area among the three vessels.

Therefore, the ranking of the magnitudes of the net forces exerted by the water on the bottom surface would be as follows:
1. Vessel 1 (rectangular shape) - largest net force
2. Vessel 2 (triangular shape) - intermediate net force
3. Vessel 3 (trapezoidal shape) - smallest net force