▼ Part A Using our simplified model, in which we know that the forces are constant (but we don't know what their magnitudes are), which, perhaps more than one, of the following motion diagrams could be a reasonable representation of the motion of the box? A B с start to push 4111 Check all that apply. A B OC OD D

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Which of the following motion diagrams could be a reasonable representation of the motion of the box? (Select all that apply.)

  • A
  • B
  • C
  • D
**Part A**

**Question:**

Using our simplified model, in which we know that the forces are constant (but we don’t know what their magnitudes are), which, perhaps more than one, of the following motion diagrams could be a *reasonable* representation of the motion of the box?

**Diagrams Explanation:**

- The diagrams labeled A, B, C, and D show sequences of arrows depicting force vectors acting on a box over time.
- Each column represents a potential motion diagram:
  - **A:** Shows a series of unidirectional arrows indicating constant force in one direction.
  - **B:** Similar to A but with alternating shorter and longer arrows, suggesting varying acceleration.
  - **C:** Arrows in the opposite direction to A, representing a force in the opposite direction.
  - **D:** Constant vertical arrows possibly showing no acceleration.

**Diagram Details:**

- **Start to push:** Indicates the moment when the force begins to be applied.
- Symbols such as \( \vec{a} = 0 \) indicate where there is no acceleration.

**Options:**

Check all that apply:

- [ ] A
- [ ] B
- [ ] C
- [ ] D

Select the diagram(s) that could reasonably represent the motion of the box under constant force conditions.
Transcribed Image Text:**Part A** **Question:** Using our simplified model, in which we know that the forces are constant (but we don’t know what their magnitudes are), which, perhaps more than one, of the following motion diagrams could be a *reasonable* representation of the motion of the box? **Diagrams Explanation:** - The diagrams labeled A, B, C, and D show sequences of arrows depicting force vectors acting on a box over time. - Each column represents a potential motion diagram: - **A:** Shows a series of unidirectional arrows indicating constant force in one direction. - **B:** Similar to A but with alternating shorter and longer arrows, suggesting varying acceleration. - **C:** Arrows in the opposite direction to A, representing a force in the opposite direction. - **D:** Constant vertical arrows possibly showing no acceleration. **Diagram Details:** - **Start to push:** Indicates the moment when the force begins to be applied. - Symbols such as \( \vec{a} = 0 \) indicate where there is no acceleration. **Options:** Check all that apply: - [ ] A - [ ] B - [ ] C - [ ] D Select the diagram(s) that could reasonably represent the motion of the box under constant force conditions.
**Learning Goal:**

A box of mass 3.0 kg slides down a rough vertical wall. The gravitational force on the box is 29.4 N. When the box reaches a speed of 2.5 m/s, you start pushing on one edge of the box at a 45° angle (*use degrees in your calculations throughout this problem*) with a constant force of magnitude \( F_p = 23.0 \, \text{N} \), as shown in (Figure 1). There is now a frictional force between the box and the wall of magnitude 13.0 N. How fast is the box sliding 2.4 s after you started pushing on it?

**Figure Explanation:**

The figure illustrates a box sliding down a vertical wall, with the following forces depicted:

- A downward arrow indicating the gravitational force.
- A red arrow labeled \( F_p \), applied at a 45° angle to the bottom right of the box.
- The box is shown against the wall, highlighting the direction of the applied force and associated angles for calculation.
Transcribed Image Text:**Learning Goal:** A box of mass 3.0 kg slides down a rough vertical wall. The gravitational force on the box is 29.4 N. When the box reaches a speed of 2.5 m/s, you start pushing on one edge of the box at a 45° angle (*use degrees in your calculations throughout this problem*) with a constant force of magnitude \( F_p = 23.0 \, \text{N} \), as shown in (Figure 1). There is now a frictional force between the box and the wall of magnitude 13.0 N. How fast is the box sliding 2.4 s after you started pushing on it? **Figure Explanation:** The figure illustrates a box sliding down a vertical wall, with the following forces depicted: - A downward arrow indicating the gravitational force. - A red arrow labeled \( F_p \), applied at a 45° angle to the bottom right of the box. - The box is shown against the wall, highlighting the direction of the applied force and associated angles for calculation.
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Part B
Still using our simplified model (in which we do not know the magnitudes of the forces), draw a free-body diagram showing all the forces acting on the box after you start pushing on it. The positive y
axis is taken to be upward. The black dot represents the box. Since our model is about having constant forces of unknown magnitude, you do not need to draw the vectors to scale, but your final
diagram should be physically reasonable.
Transcribed Image Text:Part B Still using our simplified model (in which we do not know the magnitudes of the forces), draw a free-body diagram showing all the forces acting on the box after you start pushing on it. The positive y axis is taken to be upward. The black dot represents the box. Since our model is about having constant forces of unknown magnitude, you do not need to draw the vectors to scale, but your final diagram should be physically reasonable.
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