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Why is the mechanical advantage of using a single pulley always 1? Assume there’s no friction. A. The input force is in a different direction than the output force. B. The input force is less than the output force. C. The input force is greater than the output force. D. The input force is equal to the output force.

Question

Why is the mechanical advantage of using a single pulley always 1? Assume there’s no friction. A. The input force is in a different direction than the output force. B. The input force is less than the output force. C. The input force is greater than the output force. D. The input force is equal to the output force.

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Solution

The mechanical advantage of a single pulley is always 1 because the input force is equal to the output force. This is option D.

Here's a step-by-step explanation:

  1. Mechanical advantage is defined as the ratio of the output force to the input force in a system. In other words, it's how much the machine multiplies your force.

  2. In a single pulley system, when you pull down on one side of the rope, the other side goes up with the same amount of force. This is because the pulley simply changes the direction of the force, but doesn't increase or decrease it.

  3. Therefore, the input force (the force you apply) is equal to the output force (the force the pulley applies to lift the load).

  4. Since the input force and output force are equal, their ratio is 1. Therefore, the mechanical advantage of a single pulley is 1.

Remember, this is assuming there's no friction or other forces at play. In the real world, friction and other factors might decrease the mechanical advantage slightly.

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