The fast train known as the TGV Atlantique (Train Grande Vitesse) that runs south from Paris to Le Mans in France has a top speed of 310 km/h.
(a) If the train goes around a curve at this speed and the acceleration experienced by the passengers is to be limited to 0.06g, what is the smallest radius of curvature for the track that can be tolerated?
km
(b) If there is a curve with a 1.00 km radius, to what speed must the train be slowed?
km/h