Answer :
Final answer:
The gauge pressure 15 meters below the surface of the water is 147,000 Pa, which is calculated by multiplying the depth in meters by approximately 9,800 Pa.
Explanation:
The subject of this question is the gauge pressure at a certain depth underwater. Gauge pressure is the pressure relative to ambient air pressure. It's calculated by subtracting atmospheric pressure from absolute pressure. Here, the depth is 15 meters and the atmospheric pressure is 14.7 PSIA (Pound per square inch absolute). When dealing with pressure in water, we often use Pascal (Pa) as the unit instead of PSIA. One important concept in fluid mechanics is that the pressure in a fluid, like water, increases by approximately 9,800 Pa for every meter increase in depth.
By this rule, the additional pressure due to the water depth is 15 meters * 9,800 Pa/meter = 147,000 Pa. This value is just the pressure due to the depth of the water and does not include atmospheric pressure. Since gauge pressure is the pressure above the atmospheric, we don't need to convert the atmospheric pressure to Pa and add it. Therefore, the gauge pressure 15 meters below the surface would be D)147,000 Pa.
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