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

Step-by-step 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`