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).
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.