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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