FYKOS Year 38 Series 1 Problem 2 — philodendron on its way · FYKOS 38 #38.1.2

Physics · mechanics

Problem

Jarda is bringing Victor a new philodendron in the trunk of his car. It is planted in a flowerpot with a circular base with a radius of

6\,\mathrm{cm}

and the center of gravity of the philodendron and the flowerpot is at a height of

7\,\mathrm{cm}

. Jarda is driving at a speed of

90\,\mathrm{km\cdot h^{-1}}

, but he is approaching a turn with a radius of curvature of

10\,\mathrm{m}

. To ensure that the philodendron prospers, it cannot even tilt along the journey. What is the shortest distance from the turn that Jarda has to start braking? He wants to drive through the turn at a constant speed.

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