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  • Understanding Buoyant Force: Definition & Archimedes' Principle
    The size of the buoyant force acting on an object is equal to the weight of the fluid displaced by the object. This is known as Archimedes' principle.

    Here's a breakdown:

    * Buoyant force: An upward force exerted by a fluid that opposes the weight of an object immersed in it.

    * Fluid: Any substance that can flow, such as liquids and gases.

    * Displaced fluid: The amount of fluid that is pushed aside by the object when it is submerged.

    * Weight: The force of gravity acting on an object's mass.

    Formula:

    Buoyant force (F_b) = Density of fluid (ρ) × Volume of displaced fluid (V) × Acceleration due to gravity (g)

    Where:

    * F_b is the buoyant force in Newtons (N)

    * ρ is the density of the fluid in kilograms per cubic meter (kg/m³)

    * V is the volume of the displaced fluid in cubic meters (m³)

    * g is the acceleration due to gravity (approximately 9.8 m/s²)

    Example:

    Imagine a block of wood with a volume of 0.1 m³ submerged in water. The density of water is approximately 1000 kg/m³.

    * The volume of the displaced fluid is equal to the volume of the block, which is 0.1 m³.

    * Using the formula, the buoyant force on the block is:

    F_b = 1000 kg/m³ × 0.1 m³ × 9.8 m/s² = 980 N.

    Key points:

    * The buoyant force acts upward, opposing gravity.

    * The greater the volume of fluid displaced, the greater the buoyant force.

    * If the buoyant force is greater than the weight of the object, the object will float. If the weight is greater, the object will sink.

    * The buoyant force is independent of the object's shape.

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