A roller-coaster car has a total mass (including passengers) of 485 kg. Sitting in the car is a passenger with a mass of 49.0 kg. The car reaches the lowest point of a circular arc in the track, point A in the figure below, moving at a speed of 16.0 m/s. The radius of the arc is r1 = 26.0 m.
What is the magnitude (in N) and direction of the force that the seat exerts on the passenger at point A?
If the car has the same speed at point A as in part (a), what would the radius (in m) of the track have to be for the force of the seat on the passenger at this point to be twice the passenger's weight?