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Calculate the upthrust on a boat with a volume of 200 m3 in sea water (density 1030 kg/m3) with g = 10 m/s2.

Physics

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Step-by-step solution

2 steps

To calculate the upthrust, we use Archimedes' principle.

  1. Identify the given values.

    The volume of the boat is Vboat=200 m3V_{boat} = 200 \text{ m}^3.
    The density of sea water is ρseawater=10.30 kg m−3\rho_{sea water} = 10.30 \text{ kg m}^{-3}.
    The acceleration due to gravity is g=10 m s−2g = 10 \text{ m s}^{-2}.

  2. State the formula for upthrust.

    The upthrust (FBF_B) is calculated using the formula:

    FB=ρfluid×Vdisplaced×gF_B = \rho_{fluid} \times V_{displaced} \times g
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