Rank, from smallest to largest, the pressures in the tank of motionless fluid shown in the figure.
To rank the pressures in the tank of motionless fluid from smallest to largest, we need to understand how the pressure varies with depth in a fluid.
In a fluid at rest, such as the one in the tank, the pressure increases with depth. This relationship is known as Pascal's law. The deeper you go in the fluid, the greater the pressure.
With this understanding, let's now examine the figure and rank the pressures:
First, identify the lowest point in the fluid (usually the bottom of the tank). This point will have the highest pressure since it is deepest in the fluid. Label this point as "1" and note that it has the highest pressure.
Next, identify the highest point in the fluid (usually the surface of the fluid). This point will have the lowest pressure since it is the least deep in the fluid. Label this point as "4" and note that it has the lowest pressure.
Now, find the points in between. Label the points that are deeper in the fluid with increasing numbers (e.g., 2, 3) and note that their pressures will increase as well.
To summarize, the ranking of the pressures in the tank, from smallest to largest, would be:
Pressure at point 4 (surface of the fluid) < Pressure at point 3 < Pressure at point 2 < Pressure at point 1 (bottom of the tank)