A high-speed train is located at latitude 35^o South and moves southward on a straight track with a speed of 440 km/hour. Use that Earth's rotation period is 23 hours and 56 minutes, and that the Earth's radius is 6.38 x 106 m. 

a) Calculate the angle between the floor surface and the centrifugal force on a passenger in this train. 

b) Calculate the magnitude of the Coriolis force on a passenger in the train with mass m = 100 kg