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21 February, 21:22

A 50-kg man is driving his snowmobile at a constant speed. The engine applies a force of 360 N and the coefficient of kinetic friction between the snowmobile and the snow is 0.2. What is the mass of the snowmobile?

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  1. 21 February, 21:47
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    134 kg

    Explanation:

    The snowmobile is moving at constant speed, so the acceleration is 0.

    Sum of the forces in the x direction:

    ∑F = ma

    F - 360 = 0

    F = 360

    Friction force equals the normal force times the coefficient of friction:

    Nμ = 360

    On level ground, the normal force equals the combined weight:

    (m + 50) g μ = 360

    m + 50 = 360 / (gμ)

    m = - 50 + 360 / (gμ)

    m = - 50 + 360 / (9.8 * 0.2)

    m ≈ 134 kg

    Round as needed.
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