In the competition of Tour de France, the cyclists have to go over a parabolic hill. The leading cyclist is riding at a constant speed \(v=10\sqrt{5} \text{ ms}^{-1}\). The details of the hill are depicted in the above figure. Find the net force applied by the hill at point \(A\)
Details and Assumptions
The total mass of of the bicycle and the cyclist is equal \(100\sqrt{\frac{2}{5}} \text {kg}\).
\(g=10 \text{ ms}^{-2}\).
The shape of the hill is similar to that of a parabola.
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