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every rope has a safe working load a roap should not be used to lift a weight greater than its safe working oad

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Final answer:

The student's question pertains to the concepts of rope tension and safe working load in physics, focusing on how to determine the maximum load a rope can lift safely. Key concepts include force tension, Newton's third law, and the stress-strain relationship within the material.

Step-by-step explanation:

Understanding Rope Tension and Safe Working Load

When discussing the use of a rope for lifting weights, several physical concepts are at play, particularly those involving tension and safe working load. The safe working load is the maximum load a rope can safely handle without risking breakage or failure. In physics, we consider the tension force in the rope, Newton's third law of motion, and the stress-strain relationship to determine the safe load capacities.

As an example, a nylon rope with a force constant of 1.40 × 104N/m will have a certain maximum tensile stress it can endure before it breaks, such as 6.00 × 106N/m². To find the maximum load the rope can lift safely, we would consider its tensile strength, cross-sectional area, and any additional factors like acceleration of the load if it's not being lifted at a constant speed.

In a practical scenario, if a pulley system is used for lifting a weight, as described in a hypothetical question, we would calculate the mechanical advantage to determine how many ropes would be required to support a 200N load with an effort force of 52N. Also, when calculating the efficiency of a pulley system where a worker pulls down on one end to lift a load on the other, we need to know the added loads, distances moved, and the total work done.

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