Answer:
[tex] 3470[/tex] N
Explanation:
[tex]m[/tex] = mass of the roller coaster = 150 kg
[tex]r[/tex] = Radius of the dip = 30 m
[tex]v[/tex] = Speed of the carriage = 20 m/s
[tex]N[/tex] = Normal reaction
Force equation for the motion is given as
[tex]N - mg = \frac{mv^{2}}{r}[/tex]
[tex]N - (150) (9.8) = \frac{(150)(20)^{2}}{30}[/tex]
[tex]N = 3470[/tex] N