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  • Floating Objects: Understanding Mass, Volume & Buoyancy
    Here's what's true about the mass and volume of a floating object:

    Key Principle: Archimedes' Principle

    * Buoyancy Force: When an object is submerged in a fluid (like water), it experiences an upward force called the buoyancy force. This force is equal to the weight of the fluid displaced by the object.

    * Floating Condition: An object floats when the buoyancy force acting on it is equal to or greater than the object's weight.

    Relationship between Mass, Volume, and Floating

    * Mass and Weight: The mass of an object determines its weight (weight = mass x acceleration due to gravity).

    * Volume and Displacement: The volume of an object determines how much fluid it displaces when submerged.

    * Density: The relationship between mass and volume is crucial. Density is defined as mass per unit volume (Density = Mass/Volume). An object floats if its density is less than the density of the fluid it's in.

    Examples:

    * Wood: Wood is less dense than water, so it floats. A piece of wood will displace a volume of water equal to its own weight.

    * Steel Ship: Steel is denser than water. However, a ship is designed with a large hollow volume (its hull). This makes the overall density of the ship less than the density of water, allowing it to float.

    In Summary:

    * A floating object has a mass and volume that results in a density lower than the fluid it's in.

    * The object displaces a volume of fluid equal to its own weight.

    * The buoyancy force acting on the object is equal to the weight of the displaced fluid.

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