Suppose you are a roller coaster ride designer and you begin a new design with safety in mind. Safety regulations state

[answerhappygod]

Suppose you are a roller coaster ride designer and you begin a
new design with safety in mind. Safety regulations state that the
riders' centripetal acceleration should be no more
than 𝑛=1.65𝑔n=1.65g at the topof the hump
and no more than 𝑁=5.50𝑔N=5.50g at
the bottom of the hoop. Previous sections of the
ride give the train a speed
of 11.3 𝑚/𝑠11.3 m/s at the top of the incline,
which is ℎ=37.5 𝑚h=37.5 m above the ground.
Ignoring the effects of friction and air resistance:
(a) What is the minimum radius 𝑅humpRhump you can use
for the semi-circular hump?
(b) What is the minimum radius 𝑅loopRloop you can use
for the vertical loop?