Answer
The mass of the skater is $72.8kg$
Work Step by Step
The radius of the turn $r=31m$, the skater's speed $v=14m/s$ and the centripetal force has a magnitude $F_c=460N$
To find the mass of the skater $m$, we have $$F_c=\frac{mv^2}{r}$$ $$m=\frac{F_cr}{v^2}=72.8kg$$
