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  • Calculating Acceleration: Net Force & Object Motion
    Here's how to solve this problem:

    1. Identify the Forces:

    * Gravitational Force (Fg): This acts downward and is calculated using Fg = mg, where:

    * m = mass (1.4 kg)

    * g = acceleration due to gravity (approximately 9.8 m/s²)

    * Air Resistance (Fair): This acts upward and is given as 2.5 N.

    2. Calculate the Net Force:

    * The net force (Fnet) is the vector sum of all forces acting on the object. Since the forces are in opposite directions, we subtract them:

    * Fnet = Fg - Fair

    3. Calculate the Acceleration:

    * Use Newton's Second Law of Motion: Fnet = ma, where:

    * a = acceleration

    Calculations:

    1. Gravitational Force:

    * Fg = (1.4 kg)(9.8 m/s²) = 13.72 N

    2. Net Force:

    * Fnet = 13.72 N - 2.5 N = 11.22 N

    3. Acceleration:

    * a = Fnet / m = 11.22 N / 1.4 kg = 8.01 m/s²

    Answer: The acceleration of the object is approximately 8.01 m/s² downward.

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