The tension in the midpoint of a string connecting two blocks of mass 15 kg each, with a total applied force of 66 N on the right block, can be calculated using Newton's second law. The system operates on a frictionless surface, allowing for straightforward application of the equations of motion. The total mass of the system is 32 kg (15 kg + 15 kg + 2 kg), and the acceleration can be determined by dividing the total force by the total mass. This results in a tension value that can be derived from the forces acting on each block.
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