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The law of levers involves which of the following calculations?

  1. Force applied x length of resistance arm

  2. Resistance encountered x length of resistance arm

  3. Resistance encountered + applied force

  4. Force arm squared = resistance arm

The correct answer is: Resistance encountered x length of resistance arm

The law of levers is based on the principle of moments, which states that for a lever to be in equilibrium (i.e., balanced), the torque applied about a pivot point must be equal on both sides. Torque is calculated as the product of the force applied and the distance from the pivot point, known as the arm length. In terms of the calculations involved, the choice that incorporates resistance encountered and the length of the resistance arm correctly reflects this principle. The resistance encountered represents the load the lever is working against, while the length of the resistance arm is the distance from the pivot point to the point where this load is applied. When multiplying these two factors, you are calculating the torque generated by the resistance. For the lever to be balanced, this torque must equal the torque generated by the applied force on the other side, demonstrating the relationship defined by the law of levers. Understanding this concept is vital for practical applications of levers in various fields, including physics and engineering, where maintaining balance and efficiency in mechanical systems is essential.