Final answer:
The total length of the high-performance utility hoist cannot be determined with the provided information as there is no direct reference to its length or sufficient data to calculate it from the discussed physics concepts.
Step-by-step explanation:
The total length of the high-performance utility hoist can be determined by considering the physics involved in simple harmonic motion and pulley systems. Given the information from a segment of a physics textbook or lesson, the length of a pendulum (H) is twice the length from the center of mass to the axis of rotation (L). So, H = 2L. If L is known, then H can be directly calculated. The context here does not provide L directly, but usually, in a physics problem like this, L would be provided in the question, or it can be derived from other given parameters.
However, if we are expected to use the given extracts to find the length of the hoist, they don’t directly connect to calculate this value. For instance, a description of the force constant of a nylon rope for a mountain climber, and inputs on how the mechanical advantage or efficiency of a pulley system can be calculated, provide general concepts but do not offer specific measurements of the hoist’s length. Without additional information, such as L in the pendulum formula or a direct reference to the hoist's length, calculating the exact total length of the high-performance utility hoist is not possible.