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Question: problem 2 archimedes principle archimedes principle states that the total...

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Problem 2: Archimedes principle Archimedes principle states that the total force acting on a body immersed in a fluid is equal to the weight of the displaced fluid. ез g.p a2 Let S2 C R3 represent a submerged body in an incompressible fluid with density p in a gravitational field g. (2a) The force exerted by water at any point on a surface with normal n is equal to f Tn where Tpl, p is the hydrostatic pressure, and I is the identity tensor. Express the total force of the water on Ω as an integral over 02. (Hint: Remember that the pressure is only related to the depth or x.) (2b) Use the divergence theorem to show that the total force of the water on Ω is equal to the weight of the water inside Ω.
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