AQA M1 2010 June — Question 2

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2010
SessionJune
TopicFriction

2 A block, of mass 10 kg , is at rest on a rough horizontal surface, when a horizontal force, of magnitude \(P\) newtons, is applied to the block, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{5d474771-fe32-47c6-8bf3-60ff7a25dd12-04_108_962_461_539} The coefficient of friction between the block and the surface is 0.5 .
  1. Draw and label a diagram to show all the forces acting on the block.
    1. Calculate the magnitude of the normal reaction force acting on the block.
    2. Find the maximum possible magnitude of the friction force between the block and the surface.
    3. Given that \(P = 30\), state the magnitude of the friction force acting on the block.
  2. Given that \(P = 80\), find the acceleration of the block.
    \includegraphics[max width=\textwidth, alt={}]{5d474771-fe32-47c6-8bf3-60ff7a25dd12-05_2484_1709_223_153}