Question

This problem uses the same concepts as Multiple-Concept, 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

1.96 m/s^2

Step-by-step explanation:

angle of inclination, θ = 30.6°

coefficient of friction, μ = 0.36

Acceleration of the crate

a = g Sin θ - μ g Cos θ

a = 9.8 ( Sin 30.6 - 0.36 x Cos 30.6)

a = 9.8 ( 0.509 - 0.309)

a = 1.96 m/s^2

Thus, the acceleration f the crate is 1.96 m/s^2.