4.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{5a2cf693-d966-4787-8778-ecc8a79a6265-12_647_396_251_776}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}

Figure 1 shows a large bucket used by a crane on a building site to move materials between the ground and the top of the building. The mass of the bucket is 15 kg .

The bucket is attached to a vertical cable with the bottom of the bucket horizontal. The cable is modelled as light and inextensible.

When the bucket is on the ground, a bag of cement of mass 25 kg is placed in the bucket.

The bucket with the bag of cement moves vertically upwards with constant acceleration $0.2 \mathrm {~ms} ^ { - 2 }$. Air resistance is modelled as being negligible.
\begin{enumerate}[label=(\alph*)]
\item Find the tension in the cable.

At the top of the building, the bag of cement is removed. A box of tools of mass 12 kg is now placed in the bucket.

Later on the bucket with the box of tools is moving vertically downwards with constant deceleration $0.1 \mathrm {~m} \mathrm {~s} ^ { - 2 }$. Air resistance is again modelled as being negligible.
\item Find the magnitude of the normal reaction between the bucket and the box of tools.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2021 Q4 [6]}}