A passenger of mass
(m
) is seated in a roller coaster car that moves at a constant speed
(v
) through a vertical circular loop of radius
(R
). The seat remains in contact with the passenger at all times. Which of the following correctly compares the magnitude of the normal force
(F_{N, \text{bottom}}
) exerted by the seat on the passenger at the bottom of the loop to the magnitude of the normal force
(F_{N, \text{top}}
) at the top of the loop?