An object with a mass of 9 kg is on a plane with an incline of  - pi/4 . If it takes 24 N to start pushing the object down the plane and 5 N to keep pushing it, what are the coefficients of static and kinetic friction?

Nov 11, 2017

${\mu}_{s}$ = 0.4

${\mu}_{k}$ = 0.1

Explanation:

24N to (START PUSHING ) = ${F}_{\text{smax}}$

5N to ( KEEP PUSHING IT ) = ${F}_{K}$

${\mu}_{\text{smax}}$ = ${F}_{\text{smax}} / N$

N = mgcos($\theta$)

$\theta$ = - $\frac{\pi}{4}$

m = 9kg ---- Plug in the numbers to get ${\mu}_{\text{smax}}$

${\mu}_{k}$ = ${F}_{k} / N$ Do the same thing to get ${\mu}_{k}$