# Aditya's challenges in Mechanics 3

**Classical Mechanics**Level 5

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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