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29 March, 15:35

A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.15 and the push imparts an initial speed of 3.5m/s?

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  1. 29 March, 17:38
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    F = ma

    Ff = μ*Fn

    Fn = Fw

    Fw = mg

    So we have:

    Ff = μmg

    And

    Ff = ma

    So ...

    μmg = ma

    μg = a

    And we can solve for the acceleration:

    (0.15) (9.81 m/s²) = a

    a = 1.47 m/s²
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