Most of my answers are correct but the answers with small red X\'s are incorrect

Question

Most of my answers are correct but the answers with small red X's are incorrect. Any help would be appreciated
2:36 PM webassign.net SYMBOLIC PROBLEM: (Hope you have been practicing this as recommended) Bob picks up a bucket of water by a rope and swings it around in a vertical plane. The bucket passes through the top of the circle with a speed vi (Note: You may neglect air resistance.) SIDE VIEW a.) (NOT FOR CREDIT- but essential below) The speed vi is such that the bucket barely makes it through the top of the circle without falling down. Use this to find a relationship between the radius of the circle and v, so that in the parts below you won't need the radius as a separate given variable (What would happen if the rope were shorter? longer?) b.) At point 1 (top of the loop): How large is centripetal acceleration of the bucket? (Express as a multiple of g.) How much is the tension in the rope? (Express as a multiple of the bucket's weight.) mg c.) At point 2 (bucket at same height as the center of the cirdle): What is the speed of the bucket? (Express as a multiple of vi-) How large is centripetal acceleration of the bucket? How much is the tension in the rope? T2-3 Vmg d.) Repeat when the bucket is at point 3 (bottom of the swing) 3-5

Explanation / Answer

from energy conservation

1/2 mv^2=mgr

v=sqrt(2gr)

where r is the radius of circle

at point 1

v1=qrt(gr)

so v2=sqrt(2)*v1

at the bottom of the circle

v3=sqrt(5gr)

v3=sqrt(5)*v1

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