Edexcel M1 2015 June — Question 4

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicNewton's laws and connected particles

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{de3245a7-cf6e-423e-8689-9a074bdbc23b-06_428_373_246_788} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} A lift of mass 200 kg is being lowered into a mineshaft by a vertical cable attached to the top of the lift. A crate of mass 55 kg is on the floor inside the lift, as shown in Figure 2. The lift descends vertically with constant acceleration. There is a constant upwards resistance of magnitude 150 N on the lift. The crate experiences a constant normal reaction of magnitude 473 N from the floor of the lift.
  1. Find the acceleration of the lift.
  2. Find the magnitude of the force exerted on the lift by the cable.