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college physics

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Suppose that the coefficient of friction between your feet and the floor, while wearing socks, is 0.250. Knowing this, you decide to get a running start and then slide across the floor. If your speed is 3.00 m/s when you start to slide, what distance, d, will you slide before stopping?

  • college physics -

    (initial kinetic energy) = (work done against friction)

    (1/2) M V^2 = F * d

    F is the friction force, which in this case is 0.25 M g. The 0.25 factor is the coefficient of kinetic friction.

    Solve for the distance d. M cancels out.

    d = (1/2) V^2/(0.25 g) = 2 V^2/g

  • college physics -

    1.84 m

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