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.
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.