Question

A box slides down a 31° ramp with an acceleration of 0.99 m/s2. Determine the coefficient of kinetic friction between the box and the ramp.μk=______.

Answer 1

Answer:$\mu$=0.48

Explanation:

Given

inclination $\theta =31^{\circ}$

Acceleration of object$=0.99 m/s^2$

Now using FBD

$mg\sin \theta -f_r=ma$

$mg\sin \theta -\mu mg\cos \theta =ma$

$a=g\sin \theta -\mu g\cos \theta$

$0.99=5.04-\mu 8.4$

$\mu 8.4=4.057$

$\mu =0.48$