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Question: The pressure on a swimmer 20 m below the surface of water at sea level is...

The pressure on a swimmer 20 m below the surface of water at sea level is

A

1.0 bar

B

2.0 bar

C

2.5 bar

D

3.0 bar

Answer

3.0 bar

Explanation

Solution

Hydrostatic Pressure Calculation:

Pwater=ρgh=(103kg/m3)(10m/s2)(20m)=200,000Pa=2.0barP_{\text{water}} = \rho g h = (10^3 \, \text{kg/m}^3)(10 \, \text{m/s}^2)(20 \, \text{m}) = 200,000 \, \text{Pa} = 2.0 \, \text{bar}

(Since 1bar105Pa1 \, \text{bar} \approx 10^5 \, \text{Pa}.)

Total Pressure:

Ptotal=Atmospheric pressure+Pwater=1.0bar+2.0bar=3.0barP_{\text{total}} = \text{Atmospheric pressure} + P_{\text{water}} = 1.0 \, \text{bar} + 2.0 \, \text{bar} = 3.0 \, \text{bar}

Pressure = Atmospheric pressure + hydrostatic pressure = 1.0bar+2.0bar=3.0bar1.0 \, \text{bar} + 2.0 \, \text{bar} = 3.0 \, \text{bar}.