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  • Calculating Acceleration: Crane Force and Weight Equilibrium
    Here's how to solve this problem:

    1. Understand the Forces

    * Weight (Force of Gravity): The crate has a mass of 50 kg. The force of gravity acting on it (its weight) is calculated using:

    * Weight (Fg) = mass (m) * acceleration due to gravity (g)

    * Fg = 50 kg * 9.8 m/s² = 490 N (downward)

    * Crane Force: The crane exerts an upward force of 600 N.

    2. Calculate the Net Force

    * The net force is the difference between the upward force and the downward force:

    * Net Force (Fnet) = Crane Force - Weight

    * Fnet = 600 N - 490 N = 110 N (upward)

    3. Apply Newton's Second Law

    * Newton's Second Law states: Fnet = mass * acceleration (a)

    * We can solve for acceleration:

    * a = Fnet / mass

    * a = 110 N / 50 kg = 2.2 m/s²

    Answer: The acceleration of the crate is 2.2 m/s² upward.

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