# An object with a mass of 6 kg is on a plane with an incline of  - pi/6 . If it takes 18 N to start pushing the object down the plane and 15 N to keep pushing it, what are the coefficients of static and kinetic friction?

May 5, 2017

${\mu}_{k} = 0.5$
${\mu}_{s} = 0.6$

#### Explanation:

We have ${\mu}_{k} \times 6 \times 10 \times \sin \left(\frac{\pi}{6}\right) = 15$
$\therefore {\mu}_{k} = \frac{1}{2} = 0.5$
Also
${\mu}_{s} \times 6 \times 10 \times \sin \left(\frac{\pi}{6}\right) = 18$
$\therefore {\mu}_{s} = 0.6$