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).
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.