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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.

Respuesta :

Answer:

The distance travel before stopping is 1.84 m

Explanation:

Given :

coefficient of kinetic friction [tex]\mu_{k} = 0.250[/tex]

Zak's speed [tex]v = 3 \frac{m}{s}[/tex]

Gravitational acceleration [tex]g = 9.8[/tex] [tex]\frac{m}{s^{2} }[/tex]

Work done by frictional force is given by,

  [tex]W = \Delta K[/tex]

 [tex]\mu _{k} mg d = \frac{1}{2} m v^{2}[/tex]

  [tex]d = \frac{v^{2} }{2 g \mu _{k} }[/tex]

  [tex]d = \frac{9}{2 \times 9.8 \times 0.250}[/tex]

  [tex]d = 1.84[/tex] m

Therefore, the distance travel before stopping is 1.84 m

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