Question

This problem uses the same concepts as Multiple-Concept Example 17, except that kinetic, rather than static, friction is involved. A crate is sliding down a ramp that is inclined at an angle 30.6 ° above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.360. Find the acceleration of the moving crate.

Answer 1

Answer:
`1.94 m/s^2`

Step-by-step explanation:

Given

inclination
`\theta =30.6^(\circ)`

Coefficient of kinetic Friction
`\mu =0.36`

Forces on crate is

`mg\sin \theta -f_r=ma`

`f_r=\mu mg\cos \theta`

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

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

`a=1.94 m/s^2`