OCR M1 2011 January — Question 4

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2011
SessionJanuary
TopicNewton's laws and connected particles

4
\includegraphics[max width=\textwidth, alt={}, center]{4c6c9323-8238-4ec2-94a1-6e8188a34521-03_156_1141_258_502} A block \(B\) of mass 0.8 kg and a particle \(P\) of mass 0.3 kg are connected by a light inextensible string inclined at \(10 ^ { \circ }\) to the horizontal. They are pulled across a horizontal surface with acceleration \(0.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\), by a horizontal force of 2 N applied to \(B\) (see diagram).
  1. Given that contact between \(B\) and the surface is smooth, calculate the tension in the string.
  2. Calculate the coefficient of friction between \(P\) and the surface.