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  • Newton's Second Law: Calculating Acceleration Given Force and Mass
    Let's break down this physics problem:

    Understanding the Concepts

    * Force (F): A push or pull that can cause a change in motion. Measured in Newtons (N).

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

    * Acceleration (a): The rate of change of velocity. Measured in meters per second squared (m/s²).

    * Newton's Second Law of Motion: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it's expressed as: F = ma

    Solving the Problem

    1. Identify the knowns:

    * Force (F) = 1.0 N

    * Mass (m) = 1.0 kg

    2. Apply Newton's Second Law: F = ma

    3. Rearrange the equation to solve for acceleration: a = F/m

    4. Substitute the values: a = (1.0 N) / (1.0 kg)

    5. Calculate: a = 1.0 m/s²

    Answer: When a 1.0 N force acts on a 1.0 kg object that can move freely, the object will accelerate at a rate of 1.0 m/s².

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