Answered: 2. A large object moves to the right…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A large object moves to the right across a horizontal surface. The figure depicts five forces acting on the object, each with the same magnitude but exerted in different directions. For each one,

a) determine whether the work done is positive or negative.

b) Students were asked to rank the work done by the forces with the greatest first. Here is what one student was thinking: “I know that since W=Fcos, the more the force pushes in the direction that the object moves, the more work done. So, I think that F1 does the most work, but I am not sure about F2 and F5. The angle for both is the same, but they are pointing in different directions. I know that the sign for vectors just means direction and not size, but I am not sure here.”

How would you explain the meaning of the sign for Work? How would you Rank the Work done?

2. A large object moves to the right across a horizontal surface. The figure depicts five forces acting on the object, each with the same magnitude but exerted in different directions. For each one,

**a) Determine whether the work done is positive or negative.**

| Force | Sign (+, -) | Rank |
|-------|-------------|------|
| F₁ | | |
| F₂ | | |
| F₃ | | |
| F₄ | | |
| F₅ | | |

**Diagram Explanation:**

- The object is shown moving to the right over a horizontal surface, indicated by a rightward arrow labeled Δx.
- Five forces (F₁ to F₅) are applied to the object at different angles:
- **F₁**: Directly to the right.
- **F₂**: 20° above the horizontal.
- **F₃**: 20° above the horizontal, in the opposite direction of F₂.
- **F₄**: Vertical, pointing downward.
- **F₅**: 20° below the horizontal, in the opposite direction of F₃.

**b) Students were asked to rank the work done by the forces with the greatest first. Here is what one student was thinking:**

“I know that since \( W = F \cos \theta \), the more the force pushes in the direction that the object moves, the more work done. So, I think that F₁ does the most work, but I am not sure about F₂ and F₅. The angle for both is the same, but they are pointing in different directions. I know that the sign for vectors just means direction and not size, but I am not sure here.”

**How would you explain the meaning of the sign for Work? How would you Rank the Work done?**

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