In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A block of mass 2 kg is at rest on a rough plane inclined at an angle θ \theta\,θ to the horizontal, where tanθ=0.75\tan\theta = 0.75tanθ=0.75. The coefficient of friction between the block and the plane is 0.2.
The block is released from rest.
Find the acceleration of the block.
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.