CAIE M1 2023 November — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2023
SessionNovember
TopicMotion on a slope

3 A block of mass 8 kg slides down a rough plane inclined at \(30 ^ { \circ }\) to the horizontal, starting from rest. The coefficient of friction between the block and the plane is \(\mu\). The block accelerates uniformly down the plane at \(2.4 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
  1. Draw a diagram showing the forces acting on the block.
  2. Find the value of \(\mu\).
  3. Find the speed of the block after it has moved 3 m down the plane.