A rough surface is inclined at an angle θ \theta\,θ to the horizontal, where tanθ=815\displaystyle \tan \theta = \frac{8}{15}tanθ=158. A crate of mass k k\,k kg is placed on the surface and allowed to slide. The coefficient of friction between the crate and the surface is 13\displaystyle \frac{1}{3}31.
Find the acceleration of the crate.
A different crate with mass 5k 5k\,5k kg is placed on the same surface. Explain how the acceleration of this crate would compare to your answer in part (a).
