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  • Calculating Force for a Given Acceleration and Mass - Physics Problem
    Here's how to solve this problem:

    Understanding the Concepts

    * Newton's Second Law of Motion: This law states that the force acting on an object is directly proportional to its acceleration and its mass. The equation is:

    * F = m * a

    * Where:

    * F = Force (in Newtons, N)

    * m = Mass (in kilograms, kg)

    * a = Acceleration (in meters per second squared, m/s²)

    Calculations

    1. Identify the given values:

    * Mass (m) = 6 kg

    * Acceleration (a) = 4 m/s²

    2. Plug the values into Newton's Second Law equation:

    * F = (6 kg) * (4 m/s²)

    3. Calculate the force:

    * F = 24 N

    Answer: A force of 24 Newtons would be needed to produce an acceleration of 4 meters per second squared in a ball with a mass of 6 kg.

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