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).
Practise Edexcel A Level Maths Forces and Friction with exam-style questions for A Level Maths. 29 questions covering Resolving Forces, Inclined Planes, and Friction, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.