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    <name>
      <text>6.4.5 (Circular motion example)</text>
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    <questiontext format="moodle_auto_format">
      <text><![CDATA[<h3>Example</h3>

<p>A \(900\)kg rollercoaster moving at \(10\) m/s takes a turn around a circle with a radius of \(25\)m. Determine the net force acting upon the car.</p>

<h3>Solution</h3>

<p>We seek to use the equations we have derived above. Here we have \(m = 900, v = 10, R = 25\). We can substitute these values into the equation \(a = \frac{v^2}{R}\) to get 
\[
a = \frac{v^2}{R} = \frac{10^2}{25} = 4 \mbox{ms}^{-1},
\]
Inputting this value into \(F = ma\) gives \(F = 900 \cdot 4 = 3600 N\). Thus the force acting on the car is \(3600N\).</p>]]></text>
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