A student of weight 667 $\mathrm{N}$ rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force $\vec{F}_{N}$ on the student from the seat is 556 $\mathrm{N}$ (a) Does the student feel "light" or "heavy" there? (b) What is the magnitude of $\vec{F}_{N}$ at the lowest point? If the wheel's speed is doubled, what is the magnitude $F_{N}$ at the $(\mathrm{c})$ highest and (d) lowest point?