CAIE M1 2022 November — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2022
SessionNovember
TopicMotion on a slope

2 A particle \(P\) of mass 0.4 kg is in limiting equilibrium on a plane inclined at \(30 ^ { \circ }\) to the horizontal.
  1. Show that the coefficient of friction between the particle and the plane is \(\frac { 1 } { 3 } \sqrt { 3 }\).
    A force of magnitude 7.2 N is now applied to \(P\) directly up a line of greatest slope of the plane.
  2. Given that \(P\) starts from rest, find the time that it takes for \(P\) to move 1 m up the plane.