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8 September, 16:55

Jonah is trying to move his 22-kg desk by pushing on it with a force of 130 N, but his brother is leaning on it with a downward force of 24 N, just preventing it from moving. What is the coefficient of static friction between the desk and the floor?

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  1. 8 September, 18:39
    0
    0.54

    Explanation:

    Draw a free body diagram. There are 5 forces on the desk:

    Weight force mg pulling down

    Applied force 24 N pushing down

    Normal force Fn pushing up

    Applied force 130 N pushing right

    Friction force Fnμ pushing left

    Sum of the forces in the y direction:

    ∑F = ma

    Fn - mg - 24 = 0

    Fn = mg + 24

    Fn = (22) (9.8) + 24

    Fn = 240

    Sum of the forces in the x direction:

    ∑F = ma

    130 - Fnμ = 0

    Fnμ = 130

    μ = 130 / Fn

    μ = 130 / 240

    μ = 0.54
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