Consider a fish swimming 5 m below the free surface of water. The increase in the pressure exert

step 1 Delta P equals Rho G, Delta H, density of water is 1000 times G 9 .81 and delta H is 25 minus 5.

Consider a fish swimming 5 m below the free surface of...

Consider a fish swimming $5 \mathrm{m}$ below the free surface of water. The increase in the pressure exerted on the fish when it dives to a depth of $25 \mathrm{m}$ below the free surface is $(a) 196 \mathrm{Pa}$ $(b) 5400 \mathrm{Pa}$ $(c) 30,000 \mathrm{Pa}$ $(d) 196,000 \mathrm{Pa}$ $(e) 294,000 \mathrm{Pa}$

Consider a fish swimming $5 \mathrm{m}$ below the free surface of water. The increase in the pressure exerted on the fish when it dives to a depth of $25 \mathrm{m}$ below the free surface is
$(a) 196 \mathrm{Pa}$
$(b) 5400 \mathrm{Pa}$
$(c) 30,000 \mathrm{Pa}$
$(d) 196,000 \mathrm{Pa}$
$(e) 294,000 \mathrm{Pa}$

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Key Concepts

Fluid Density

Fluid density is a measure of mass per unit volume and significantly affects the hydrostatic pressure within the fluid. A higher density results in a larger pressure increase with depth because the weight of the fluid column above is greater.

Gravitational Acceleration

Gravitational acceleration is the acceleration due to gravity, typically around 9.8 m/s² on Earth. It is an essential factor in hydrostatic pressure calculations, as it determines the force exerted by the weight of the fluid column per unit area.

Pressure Difference

Pressure difference is the change in pressure between two points within a fluid. In problems involving changes in depth, it is calculated by finding the difference in hydrostatic pressure at the two depths. This concept is useful in understanding the additional force experienced when an object moves from one depth to another.

Hydrostatic Pressure

Hydrostatic pressure refers to the pressure exerted by a fluid at rest under the influence of gravity. This pressure increases with depth because the weight of the fluid above exerts an additional force on the fluid below. The relationship is described by the equation P = ?gh, where ? is the density of the fluid, g is gravitational acceleration, and h is the depth.

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