Amtrack's high speed train, the acela, utilizes tilt of thecars to negotiate curves. The angle of tilt is adjusted so that themain force exerted on the passengers, to provide centripetalacceleration, is the normal force. The passenger experiences lessfriction force against the seat, thus feeling more comfortable.Consider an acela, train that rounds a curve with a radius of 620mat a speed of 160km/h.
a) calculate the friction force needed on a train passenger ofmass 75kg if the track is not banked and the train does not tilt.
b) calculate the friction force on the passenger if the traintilts to its maximum tilt of 8.0 degrees toward the center of the curve.