CAIE M1 2018 November — Question 4

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2018
SessionNovember
TopicPulley systems

4 Two particles \(A\) and \(B\), of masses \(m \mathrm {~kg}\) and 0.3 kg respectively, are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley and the particles hang freely below it. The system is released from rest, with both particles 0.8 m above horizontal ground. Particle \(A\) reaches the ground with a speed of \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find the tension in the string during the motion before \(A\) reaches the ground.
  2. Find the value of \(m\).