1.
\begin{figure}[h]
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\caption{Figure 1}
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\end{figure}
A car moves round a bend in a road which is banked at an angle \(\alpha\) to the horizontal, as shown in Fig. 1. The car is modelled as a particle moving in a horizontal circle of radius 100 m . When the car moves at a constant speed of \(14 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), there is no sideways frictional force on the car.
Find, in degrees to one decimal place, the value of \(\alpha\).