Below is a side-view picture, where a box is brought up to a height at point A and moves a distance d to point B, and then raises to height h to point C and moves back a distance d to point E, and then back down to point A again. In a way, it forms a closed loop. Again, assuming that up and to the right are positive. What is the total work done on the box by the force of gravity moving from points DEABCD? Write it as Wtotal.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Below is a side-view picture, where a box is brought up to a height at point A and moves a distance d to point B, and then raises to height h to point C and moves back a distance d to point E, and then back down to point A again. In a way, it forms a closed loop. Again, assuming that up and to the right are positive. What is the **total work** done on the box by the force of gravity moving from points DEABCD? Write it as \( W_{\text{total}}. \)

**Diagram Explanation:**

The diagram illustrates a rectangular path followed by a box. The path includes:

1. **A to B:** Horizontal movement to the right.
2. **B to C:** Vertical movement upward of height \( h \).
3. **C to D:** Horizontal movement to the left.
4. **D to E:** Horizontal movement to the left.
5. **E to A:** Vertical movement downward.

- The labels in the diagram indicate "Weight, mg" acting downwards at each point.
- Directions are marked with blue arrows showing the path of movement and red arrows indicating gravitational force.
- Coordinates \( x \) and \( y \) are marked for directions on the graph.
Transcribed Image Text:Below is a side-view picture, where a box is brought up to a height at point A and moves a distance d to point B, and then raises to height h to point C and moves back a distance d to point E, and then back down to point A again. In a way, it forms a closed loop. Again, assuming that up and to the right are positive. What is the **total work** done on the box by the force of gravity moving from points DEABCD? Write it as \( W_{\text{total}}. \) **Diagram Explanation:** The diagram illustrates a rectangular path followed by a box. The path includes: 1. **A to B:** Horizontal movement to the right. 2. **B to C:** Vertical movement upward of height \( h \). 3. **C to D:** Horizontal movement to the left. 4. **D to E:** Horizontal movement to the left. 5. **E to A:** Vertical movement downward. - The labels in the diagram indicate "Weight, mg" acting downwards at each point. - Directions are marked with blue arrows showing the path of movement and red arrows indicating gravitational force. - Coordinates \( x \) and \( y \) are marked for directions on the graph.
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