Aditya's challenges in Mechanics 3

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=105 ms1v=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 AA

Details and Assumptions

  • The total mass of of the bicycle and the cyclist is equal 10025kg100\sqrt{\frac{2}{5}} \text {kg}.

  • g=10 ms2g=10 \text{ ms}^{-2}.

  • The shape of the hill is similar to that of a parabola.

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