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  • Calculating Buoyant Force: Displacement and Weight Explained
    Let's break down this problem to find the buoyant force:

    Understanding the Concepts

    * Weight: The force of gravity acting on an object (measured in Newtons, N).

    * Buoyant Force: The upward force exerted by a fluid (like water) on an object submerged in it.

    * Archimedes' Principle: This principle states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

    The Missing Information

    The problem statement is incomplete. It mentions that the object displaces a volume of water, but doesn't specify the *volume* itself. We need that volume to calculate the buoyant force.

    How to Calculate Buoyant Force

    1. Determine the weight of the displaced water:

    * You need to know the volume of water displaced (let's call it 'V').

    * You also need the density of water (approximately 1000 kg/m³).

    * Weight of displaced water = Volume * Density * Gravity (where gravity is approximately 9.8 m/s²)

    2. The buoyant force is equal to the weight of the displaced water.

    Example

    Let's assume the object displaces 0.0015 m³ of water. Here's how we'd find the buoyant force:

    1. Weight of displaced water:

    * 0.0015 m³ * 1000 kg/m³ * 9.8 m/s² = 14.7 N

    2. Buoyant Force:

    * The buoyant force is 14.7 N.

    Key Point: The object's weight (20 N) is irrelevant to the buoyant force calculation. The buoyant force is determined solely by the weight of the water displaced.

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