16 A simple lifting mechanism comprises a light inextensible wire which is passed over a smooth fixed pulley.
One end of the wire is attached to a rigid triangular container of mass 2 kg , which rests on horizontal ground.
A load of \(m \mathrm {~kg}\) is placed in the container.
The other end of the wire is attached to a particle of mass 5 kg , which hangs vertically downwards.
The mechanism is initially held at rest as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{091aecd0-d812-4a8f-8596-a1c91f3bae1c-24_858_677_943_683}
The mechanism is released from rest, and the container begins to move upwards with acceleration \(a \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
The wire remains taut throughout the motion.
\includegraphics[max width=\textwidth, alt={}]{091aecd0-d812-4a8f-8596-a1c91f3bae1c-25_2484_1740_219_150}
16 (c) In this question use \(g = 9.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
The load reaches a height of 2 metres above the ground 1 second after it is released.
Find the mass of the load.
16 (d) Ignoring air resistance, describe one assumption you have made in your model.
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