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How direct is the relationship between water pressure and the weight of the water, as determined by the local gravity where the water is?

In other words - let's say we have a submersible with a crush depth of 1000 feet on Earth. If we moved that submersible to a watery planet with one fourth of Earth's gravity - would the crush depth become 4000 feet?

To phrase it another way - if I had a body of water large enough to swim in in a microgravity environment - would the water offer any resistance as I swam through it?

Do issues of surface tension, friction, viscosity and so so on play a significant role in determining water pressure? Or is it a simple direct correlation between water pressure and gravity - half the gravity means half the water pressure for equal volumes of water?

Thanks very much.