📚 Learning Guide
Hydrostatic Equilibrium
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In a deep lake, how does the hydrostatic pressure at the bottom compare to that at the surface, considering the influence of gravity?

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Choose the Best Answer

A

The pressure increases with depth due to the weight of the water above.

B

The pressure remains constant regardless of depth.

C

The pressure decreases with depth due to gravitational pull.

D

The pressure fluctuates randomly at different depths.

Understanding the Answer

Let's break down why this is correct

Answer

In a deep lake, the pressure at the bottom is higher than at the surface because the weight of the water above pushes down, and gravity pulls that weight toward the lake floor. The increase in pressure is proportional to the depth, the density of water, and the strength of gravity: ΔP = ρgh, where ρ is about 1000 kg/m³ for fresh water, g is 9. 8 m/s², and h is the depth. Thus the deeper the lake, the larger the pressure difference, and the stronger the gravitational pull, the steeper the pressure rise. For example, in a 10‑meter‑deep lake, the bottom pressure exceeds the surface pressure by roughly 100 kPa (about 1 atm), because 1000 kg/m³ × 9.

Detailed Explanation

The bottom feels more pressure because the water above it pushes down. Other options are incorrect because Some people think pressure stays the same at all depths, but that ignores the weight of the water above; The idea that pressure decreases with depth comes from confusing gravity pull with pressure drop.

Key Concepts

Gravitational Effects on Fluids
Hydrostatic Pressure
Topic

Hydrostatic Equilibrium

Difficulty

medium level question

Cognitive Level

understand

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