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  • Calculating Acceleration: Friction & Net Force of a Crate
    Here's how to solve this problem:

    1. Calculate the frictional force:

    * Frictional force (Ff) = coefficient of kinetic friction (μk) * normal force (N)

    * Since the crate is on a horizontal surface, the normal force equals the weight of the crate: N = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s²).

    * Ff = 0.15 * (186 kg * 9.8 m/s²) ≈ 273.3 N

    2. Calculate the net force:

    * Net force (Fnet) = Applied force (F) - Frictional force (Ff)

    * Fnet = 730 N - 273.3 N ≈ 456.7 N

    3. Calculate the acceleration:

    * Acceleration (a) = Net force (Fnet) / Mass (m)

    * a = 456.7 N / 186 kg ≈ 2.45 m/s²

    Therefore, the acceleration of the crate is approximately 2.45 m/s².

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