Final answer:
To find the tension in the string at the top and bottom of the vertical circle, use the concepts of centripetal force and gravitational force.
Step-by-step explanation:
To find the tension in the string at the top and bottom of the vertical circle, we can use the concepts of centripetal force and gravitational force. At the top, the tension will be equal to the sum of the centripetal force and gravitational force:
Ttop = m*(vtop)2/r + mg
At the bottom, the tension will be equal to the difference between the centripetal force and gravitational force:
Tbottom = m*(vbottom)2/r - mg
Plugging in the given values, we can calculate the tension in the string at the top and bottom of the vertical circle.