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27 October, 01:38

A 17-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 24 N. Starting from rest, the sled attains a speed of 2.5 m/s in 9.4 m. Find the coefficient of kinetic friction between the runners of the sled and the snow.

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  1. 27 October, 05:17
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    The coefficient friction

    μ = 0.11

    Explanation:

    To find the coefficient of kinetic can be find using conserved energy equations and knowing the friction force is

    fk = μ * N

    Now to determine use the equation

    Wf = ¹/₂ * m * v² = ¹/₂ * 17 kg * 2.5² m / s = 53.125 J

    We = 24.0 N * cos (0) * 9.4 m = 225.6 J

    Wt = Wf - We = 53.125 J - 225.6 J = - 172.475 J

    Wt = fk * d

    fk = Wt / d = 18.35 N

    Now to find the coefficient μ'

    N = m * g = 17 kg * 9.8 m/s² = 166.6 N

    μ = fk / N

    μ = 18.35 N / 166.6 N

    μ = 0.11
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