Melanie says that when a diver enters an underwater cave of height h, the pressure on her is no greater than ρWgh. Rosalind says that if the bottom of the cave is a distance H below the water surface, the pressure on the soles of the diver's feet can reach ρWgH. Which one, if either, is correct? (The density of water is ρW.)
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Melanie, because the roof of the cave absorbs the water pressure from above.
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Melanie, because only the fluid directly above any volume of the fluid can contribute to the pressure on that volume.
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Rosalind, because a fluid exerts equal pressure in all directions at a given depth.
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Rosalind, because the pressure also depends on the density, ρc, of the material above the cave roof, so that p = ρcg(H−h) + ρWgh.
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Melanie, because the pressure equals p = ρWgH−ρcg(H−h).
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