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  • Calculating Mass from Weight: A Comprehensive Guide
    You can't directly convert weight (measured in newtons) to mass (measured in kilograms) without knowing the acceleration due to gravity. Here's why and how to calculate it:

    Understanding Weight and Mass

    * Mass is the amount of matter in an object. It's a fundamental property and doesn't change based on location.

    * Weight is the force of gravity acting on an object's mass. It depends on both the object's mass and the strength of the gravitational field.

    Calculation

    1. Newton's Second Law: The relationship between weight (force), mass, and acceleration is described by Newton's Second Law:

    * Force (F) = Mass (m) * Acceleration (a)

    2. Acceleration due to Gravity: On Earth, the acceleration due to gravity (g) is approximately 9.8 m/s².

    3. Solving for Mass:

    * We know the weight (F) is 250 N.

    * We know the acceleration due to gravity (a) is 9.8 m/s².

    * Rearrange the equation: Mass (m) = Force (F) / Acceleration (a)

    * Plug in the values: m = 250 N / 9.8 m/s²

    * Calculate: m ≈ 25.5 kg

    Therefore, the mass of the rock is approximately 25.5 kg.

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