Fluids displaced and modeled
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Part A: A raft floats and displaces 4.5 m^3 of water. The volume of the raft id 8 m^3 and its area is 10 m^2. When the tide is low the raft is attached to an anchor. As the tide comes in the water level rises .25 m but the raft is constrained and rise. What is the tension on the anchor?
Part B: If the raft is taken to the Dead Sea where the water density is 1280 kg/m^3, what is the fraction of the height of the raft will be in the water when it floats?
Part C: What mass of passengers does the raft support before it sinks?
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Solution Summary
This response calculates tension and weight of a rafter floating in water.
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(A)
Additional water displaced during high tide = 0.25 x 10 m^3
Additional mass of water displaced by the raft as it sinks due to high tide = 0.25 x 10 x 1000
= 2500 Kg
Additional buoyant force ...
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