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).
108 exam-style questions on Edexcel A Level Maths Forces and Friction, covering 5.1 Resolving Forces, 5.2 Inclined Planes, and 5.3 Friction. Each one has a worked solution and a mark scheme showing where the marks go.