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Archimedes' law- Completly immersed (10 points)?

Consider a wooden block of density 650 kg/m^3 and volume 2.2 m^3. What force is required to hold it completely under water?

The answer is 7550 N

Please help me get there. Thanks.

1 Answer

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  • 8 years ago
    Favorite Answer

    The weight of the block is pulling it downward, and the buoyant force is pushing it upward.

    Weight = mass * g, Mass = density * volume

    Weight = 650 * 2.2 * 9.81 = 14,028.3 N

    Buoyant force = Volume of displaced water * Density of water * g

    Since the block is completely under water, the volume of displaced water is equal to the volume of the block.

    Buoyant force = 2.2 * 1000 * 9.81 = 21,582 N

    21,582 – 14,028.3 = 7,553.7 N

    To 3 sig digs, F = 7550 N

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