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.