AQA M1 2012 June — Question 6

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2012
SessionJune
TopicNewton's laws and connected particles

6 A child pulls a sledge, of mass 8 kg , along a rough horizontal surface, using a light rope. The coefficient of friction between the sledge and the surface is 0.3 . The tension in the rope is \(T\) newtons. The rope is kept at an angle of \(30 ^ { \circ }\) to the horizontal, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{828e8db1-efcf-4878-8292-ba5bbd80115c-4_273_775_516_644} Model the sledge as a particle.
  1. Draw a diagram to show all the forces acting on the sledge.
  2. Find the magnitude of the normal reaction force acting on the sledge, in terms of \(T\).
  3. Given that the sledge accelerates at \(0.05 \mathrm {~m} \mathrm {~s} ^ { - 2 }\), find \(T\).