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considering the length of these contact lines, if the liquid (with surface tension ) makes a contact angle with the ring's surface, what is the total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward?

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Final answer:

The total upward vertical force on the liquid can be calculated using the formula: Force = 2T * cos(theta) * h.

Step-by-step explanation:

The total upward vertical force on the liquid due to its surface tension as the ring is pulled upward can be calculated using the formula:

Force = 2T * cos(theta) * h

In this equation, T is the surface tension of the liquid, theta is the contact angle between the liquid and the ring's surface, and h is the height of the liquid inside the capillary tube relative to the surface of the liquid outside the tube.

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