Melanie says that when a diver enters an underwater cave of height h, the pressure on her is no greater than ?Wgh. 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 ?WgH. Which one, if either, is correct? (The density of water is ?W.)
a. Melanie, because the roof of the cave absorbs the water pressure from above.
b. Melanie, because only the fluid directly above any volume of the fluid can contribute to the pressure on that volume.
c. Rosalind, because a fluid exerts equal pressure in all directions at a given depth.
d. Rosalind, because the pressure also depends on the density, ?c, of the material above the cave roof, so that p = ?cg(H ? h) + ?Wgh.
e. Melanie, because the pressure equals p = ?WgH ? ?cg(H ? h).
c
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