# If an object is moving at 6 m/s over a surface with a kinetic friction coefficient of u_k=3 /g, how far will the object continue to move?

Feb 5, 2016

$x = 6 m$

#### Explanation:

$\Delta {E}_{k} = \frac{1}{2} . m . \left({v}^{2} - {0}^{2}\right)$
Delta E_k=1/2 .m. v²
$\text{work doing by friction force=W}$
$W = \Delta {E}_{k}$
${u}_{k} . m . g . x = \frac{1}{2} . m . {v}^{2}$
$\frac{3}{\cancel{g}} . \cancel{m} . \cancel{g} . x = \frac{1}{2} . \cancel{m} {.6}^{2}$
$6. x = 36$
$x = \frac{36}{6}$
$x = 6 m$