i see that you've used mv2/r, with r = 3.7 (the length of the string), to get 214.05
that would be correct if the string was of fixed length, but unfortunately it isn't, so the radius of curvature won't be the same as the length of the string
on the basis of the information at the top of the question, i don't think there's any answer, since the answer depends on the radius of curvature, which depends on the elasticity, which you're given no clue about until part (e) (the relaxed length = 3.63m)