ur machines (A-D) push four identical heavy boxes 100 m ong a track. According to the graph, which machine pushed th the least force? O Machine A O Machine B O Machine C Machine D O All pushed with the same force.

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### Educational Content: Analyzing Machine Efficiency in Moving Objects

#### Problem Statement:
Four machines (A-D) push four identical heavy boxes 100 meters along a track. According to the graph, which machine pushed with the least force?

#### Options:
- ⬤ Machine D
- ○ Machine C
- ○ Machine B
- ○ Machine A
- ○ All pushed with the same force.

#### Graph Explanation:
The graph provided has two axes:
- The horizontal axis represents **Power (W)**.
- The vertical axis represents **Velocity (m/s)**.

The graph plots the relationships between power and velocity for the four machines (A, B, C, and D).

- **Machine A**: Represented by the line with the steepest ascent in velocity as power increases.
- **Machine B**: Represented by the second line with a less steep slope compared to Machine A.
- **Machine C**: Represented by the third line with an even more gradual slope.
- **Machine D**: Represented by the line with the least steep slope out of all, showing the slowest increase in velocity as power increases.

#### Interpretation:
To determine which machine pushed with the least force, you need to understand that:
- Force \( F \) can be derived from the relation \( Power = Force \times Velocity \). 
- For machines pushing the same distance, the one with the least steep graph experiences less force for a given power.

#### Conclusion:
Based on the graph, **Machine D** shows the least increase in velocity for the given power, indicating that it pushed with the least force.

**Answer: Machine D**
Transcribed Image Text:### Educational Content: Analyzing Machine Efficiency in Moving Objects #### Problem Statement: Four machines (A-D) push four identical heavy boxes 100 meters along a track. According to the graph, which machine pushed with the least force? #### Options: - ⬤ Machine D - ○ Machine C - ○ Machine B - ○ Machine A - ○ All pushed with the same force. #### Graph Explanation: The graph provided has two axes: - The horizontal axis represents **Power (W)**. - The vertical axis represents **Velocity (m/s)**. The graph plots the relationships between power and velocity for the four machines (A, B, C, and D). - **Machine A**: Represented by the line with the steepest ascent in velocity as power increases. - **Machine B**: Represented by the second line with a less steep slope compared to Machine A. - **Machine C**: Represented by the third line with an even more gradual slope. - **Machine D**: Represented by the line with the least steep slope out of all, showing the slowest increase in velocity as power increases. #### Interpretation: To determine which machine pushed with the least force, you need to understand that: - Force \( F \) can be derived from the relation \( Power = Force \times Velocity \). - For machines pushing the same distance, the one with the least steep graph experiences less force for a given power. #### Conclusion: Based on the graph, **Machine D** shows the least increase in velocity for the given power, indicating that it pushed with the least force. **Answer: Machine D**
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