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.

Answer 1

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