Question

A 150 kg roller coaster has a dip in it with a radius of 30 m. If a carriage is travelling through the dip at 20 m/s then find the normal reaction of the rails on the carriage.

Answer 1

`3470` N

Step-by-step explanation:

`m` = mass of the roller coaster = 150 kg

`r` = Radius of the dip = 30 m

`v` = Speed of the carriage = 20 m/s

`N` = Normal reaction

Force equation for the motion is given as

`N - mg = (mv^(2))/(r)`

`N - (150) (9.8) = ((150)(20)^(2))/(30)`

`N = 3470` N