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

The distance travel before stopping is 1.84 m

Step-by-step explanation:

Given :

coefficient of kinetic friction
`\mu_(k) = 0.250`

Zak's speed
`v = 3 (m)/(s)`

Gravitational acceleration
`g = 9.8`
`(m)/(s^(2) )`

Work done by frictional force is given by,

`W = \Delta K`

`\mu _(k) mg d = (1)/(2) m v^(2)`

`d = (v^(2) )/(2 g \mu _(k) )`

`d = (9)/(2 * 9.8 * 0.250)`

`d = 1.84` m

Therefore, the distance travel before stopping is 1.84 m