$\{\begin{array}{c}f=N_{\text{b}\text{o}\text{t}}-mg=m\frac{v^2}{r}\end{array}$

$N=mg+m\frac{v^2}{r}$

$N=mg(1+\frac{v^2}{gg})$

Hoping someone can help this make sense to me lol.

In Physics right now we are doing Centripetal motion.

The Question is to find the normal force on a child sitting on the bottom a ferris wheel, if the wheel is

traveling at Constant motion. I understand the entire question, to find the Normal force up to:

N$=$ mg $+$ mv$^2/$r

But my prof continues to simplfy to

N$=$mg$(1+$ v$^2/$rg$)$ and I dont know how to get there. If anyone can help thanks!