Question

The track near the top of your favorite roller coaster is looped with the diameter of 20m. When you are at the top, you feel as if you weight one-third of your true weight.How fast is the roller coaster moving?

Answer 1

`16.16"m/s"`

Explanation:

At the top of the ride the net force experienced will be the difference between the centripetal force and the weight .This is equal to `(mg)/3` so we can write:

`(mv^2)/r-mg=(mg)/3`

`:.cancel(m)(v^2/r-g)=(cancel(m)g)/3`

`:.v^2/r=(4g)/3`

`v=sqrt((4gr)/3)`

`v=sqrt((4xx9.8xx10)/3)`

`v=11.4"m/s"`