A rough slope is inclined to the horizontal at an angle ϕ\phiϕ, where tanϕ=724\displaystyle \tan \phi = \frac{7}{24}tanϕ=247. A package of mass m m\,m kg is placed on the slope and released. The coefficient of friction between the package and the slope is 14\displaystyle \frac{1}{4}41.
Find the acceleration of the package down the slope.
A different package with mass 2m kg is placed on the same slope. Explain how the acceleration of this package 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.