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30 November, 12:29

a 5.0 kg tool box is raised from the ground by a rope. if the upward acceleration of the bucket is 2.5 m/s^2, find the force exerted by the rope on the tool box. acceleration due to gravity is 9.8 m/s^2

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  1. 30 November, 12:45
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    62 N

    Explanation:

    Sum of the forces on the toolbox:

    ∑F = ma

    T - mg = ma

    T = mg + ma

    T = m (g + a)

    T = (5.0 kg) (9.8 m/s² + 2.5 m/s²)

    T = 61.5 N

    Rounded to two significant figures, the force exerted by the rope is 62 N.
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