A sled of weight 50 N is held on a rough hill inclined at an angle of 45∘ 45^\circ\,45∘ to the horizontal. A rope pulls the sled up the hill with a force of 60 N, and the sled is in equilibrium on the point of slipping up the hill.
Find the coefficient of friction between the sled and the hill.
The 60 N force is removed. Determine whether or not the sled moves.
10 exam-style questions on OCR A Level Maths 3.3.20 Coefficient of friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.