Pregunta
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The work done by static friction can be: 1) positive. 2) negative. 3) zero. 4) nonnegative. 5) Any of the above.

Ask by Bird Ray. in the United States
Feb 25,2025

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The work done by static friction can be positive, negative, zero, or nonnegative, so the correct answer is "Any of the above."

Solución

To determine the work done by static friction, let's analyze the conditions under which static friction operates: 1. **Positive Work**: This occurs when the force of static friction acts in the same direction as the displacement of the object. However, static friction typically prevents motion, so this scenario is rare. 2. **Negative Work**: This occurs when the force of static friction acts in the opposite direction to the displacement. This can happen if the object is trying to move in a direction that static friction is opposing. 3. **Zero Work**: This occurs when there is no displacement of the object. If the object does not move, then the work done by static friction is zero, regardless of the force applied. 4. **Nonnegative Work**: This implies that the work done can be either zero or positive. Since static friction can do zero work when there is no displacement, it can also be considered nonnegative. 5. **Any of the Above**: Since static friction can do positive work (in rare cases), negative work (if it opposes motion), zero work (if there is no displacement), and can be considered nonnegative, this option is also valid. Based on this analysis, the correct answer is: **5) Any of the above.**

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The Deep Dive

Static friction does not do work when there is no relative movement between the surfaces in contact. This means that in scenarios where an object is stationary, the work done by static friction is zero. However, if a force is applied and the object starts to move, then static friction can act in a direction that opposes this motion, effectively leading to zero work done too! In practical situations, think about moving a heavy box across the floor. If you push hard enough but the box doesn’t budge, static friction is at play, keeping it in place. Here, static friction has zero work done, demonstrating how it can be powerful yet subtle!

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