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Question 4
Explain which container has the highest pressure at the bottom, and which container has the lowest. Use information from Figure 3 and Figure 4.
Step 1
Answer
Pressure at a point in a fluid at rest is given by the formula:
ho g h$$ where: - $P$ is the pressure, - $ ho$ is the density of the fluid, - $g$ is the acceleration due to gravity, - $h$ is the height (or depth) of the fluid above the point. This implies that the pressure increases with depth and density.Step 2
Answer
Comparing the heights of fluid columns in different containers, the container with the greatest fluid height will exhibit the highest pressure at the bottom. Based on the figures provided (Figure 3 and Figure 4), if one container demonstrates a greater depth or denser fluid, it will result in higher pressure according to the equation mentioned.
Step 3
Answer
Conversely, the container with the smallest fluid height or the least dense fluid will have the lowest pressure at the bottom. Evaluating the figures reveals which container meets these criteria, allowing for a conclusion to be drawn regarding the container with the lowest pressure.
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