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  • Calculating Force for Acceleration: A Physics Problem Solved
    Here's how to solve this problem:

    Understanding the Concepts

    * Force (F): The push or pull that can change an object's motion.

    * Mass (m): The amount of matter in an object.

    * Acceleration (a): The rate of change of velocity.

    * Newton's Second Law of Motion: F = m * a

    Calculations

    1. Find the acceleration:

    * Initial velocity (vi) = 0 m/s (at rest)

    * Final velocity (vf) = 6 m/s

    * Time (t) = 1 s

    * Acceleration (a) = (vf - vi) / t = (6 m/s - 0 m/s) / 1 s = 6 m/s²

    2. Calculate the force:

    * Mass (m) = 2 kg

    * Acceleration (a) = 6 m/s²

    * Force (F) = m * a = 2 kg * 6 m/s² = 12 N (Newtons)

    Answer: You need a force of 12 Newtons to accelerate the 2 kg physics book from rest to 6 meters per second in one second.

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