Please show work!

Question

The crate shown in the figure lies on a plane tilted at an angle of 27^o to the horizontal, with μ_k = 0.19.

Determine the acceleration of the crate as it slides down the plane.

If the crate starts from rest 7.65 m up the plane from its base, what will be the crate's speed when it reaches the bottom of the incline?

Answer 1

In this video, the concepts of a free body diagram, momentum/force balance, and energy balance are used to solve for the acceleration and velocity. Numerical answers are:

a = 2.79 m/s^2

v = 9.70 m/s