Easy -1.2 This is a straightforward application of the circular motion formula F = mv²/r with all values directly given. It requires only substitution into a standard formula with no problem-solving, making it significantly easier than average A-level questions which typically require multiple steps or conceptual understanding.
4 A car of mass 1400 kg drives around a horizontal circular bend of radius 60 metres.
The car has a constant speed of \(12 \mathrm {~ms} ^ { - 1 }\) on the bend.
Calculate the magnitude of the resultant force acting on the car. [0pt]
[2 marks]
\(5 \quad\) A region bounded by the curve with equation \(y = 4 - x ^ { 2 }\), the \(x\)-axis and the \(y\)-axis is shown below.
\includegraphics[max width=\textwidth, alt={}, center]{cd0d239b-ab92-4d17-9cb8-45722e2894cb-04_641_380_408_831}
The region is rotated through \(360 ^ { \circ }\) around the \(x\)-axis to create a uniform solid.
4 A car of mass 1400 kg drives around a horizontal circular bend of radius 60 metres.\\
The car has a constant speed of $12 \mathrm {~ms} ^ { - 1 }$ on the bend.\\
Calculate the magnitude of the resultant force acting on the car.\\[0pt]
[2 marks]\\
$5 \quad$ A region bounded by the curve with equation $y = 4 - x ^ { 2 }$, the $x$-axis and the $y$-axis is shown below.\\
\includegraphics[max width=\textwidth, alt={}, center]{cd0d239b-ab92-4d17-9cb8-45722e2894cb-04_641_380_408_831}
The region is rotated through $360 ^ { \circ }$ around the $x$-axis to create a uniform solid.\\
\hfill \mbox{\textit{AQA Further Paper 3 Mechanics 2023 Q4 [2]}}