In: Physics
here,
radius , r = 16 m
let the mass be m and the constant speed be v
the minimum value is at the top
m*g- m * v^2 /r = 510
m * ( 9.8 - v^2 /16) = 510 ....(1)
and
at the bottom
m*g + m*v^2/r = 666
m * ( 9.8 + v^2/16) = 666 ....(2)
from (1) and (2)
m = 60 kg , v = 4.56 m/s
the mass of the woman is 60 kg