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## Homework Statement

A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the center of the circle. Assuming that the total energy of the ball-Earth system remains constant, show that the tension in the string at the bottom is greater than the tension at the top by six times the weight of the ball.

## Homework Equations

See below...

## The Attempt at a Solution

I tried to use W = ∆K = mgy and W₁ + U₁ + W = W₂ + U₂ to solve the problem,

but it did not work out.

I'm pretty lost on this one.

HELP!!!

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