Suppose that the coefficient of kinetic friction between Zak’s feet and the floor, while wearing socks, is 0.250. Knowing this, Zak decides

Question

Suppose that the coefficient of kinetic friction between Zak’s feet and the floor, while wearing socks, is 0.250. Knowing this, Zak decides to get a running start and then slide across the floor. Part A If Zak’s speed is 3.00 m/s when he starts to slide, what distance d will he slide before stopping? Use 9.81 m/s2 for the acceleration due to gravity.

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Dâu 4 years 2021-08-10T14:06:01+00:00 1 Answers 2 views 0

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  1. RobertKer
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    2021-08-10T14:07:05+00:00
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    Answer:

    The distance travel before stopping is 1.84 m

    Explanation:

    Given :

    coefficient of kinetic friction \mu_{k} = 0.250

    Zak’s speed v = 3 \frac{m}{s}

    Gravitational acceleration g = 9.8 \frac{m}{s^{2} }

    Work done by frictional force is given by,

      W = \Delta K

     \mu _{k} mg d = \frac{1}{2} m v^{2}

      d = \frac{v^{2} }{2 g \mu _{k} }

      d = \frac{9}{2 \times 9.8 \times 0.250}

      d = 1.84 m

    Therefore, the distance travel before stopping is 1.84 m

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