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A boat of volume 200 m³ floats on sea water of density 1030 kg m⁻³. Calculate the upthrust of the sea water on the boat. [g = 10 m s⁻²]
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4 steps6.d)
ii) A boat of volume floats on sea water of density . Calculate the upthrust of the sea water on the boat. []
Identify the given values.
Volume of the boat () =
Density of sea water () =
Acceleration due to gravity () =Apply Archimedes' principle.
Upthrust () is equal to the weight of the fluid displaced. The weight of the fluid displaced is calculated as .
Make an assumption to solve the problem.
Since the mass of the boat is not provided, and the question asks for the upthrust, we assume that the given volume of the boat () refers to the volume of water displaced for the purpose of this calculation. This implies the boat is fully submerged or the question is asking for the upthrust if it were fully submerged.
Substitute the values and calculate the upthrust.
The upthrust of the sea water on the boat is .
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