(Figure 1) shows an acceleration-versus-force graph for three objects pulled by rubber bands. The mass of object B is 0.10 kg. Figure Acceleration 5a₁ 4a₁ 3a₁ 2a₁ la₁ A B 0+ 01 2 3 4 5 6 Force (number of rubber hands) 1 of 1 Part A What is the mass of object A? Express your answer with the appropriate units. ► View Available Hint(s) mA = Submit Part B mc = O Submit μA Value What is the mass of object C? Express your answer with the appropriate units. ► View Available Hint(s) LOI μA Units Value Units ? ?

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**Educational Content on Acceleration and Force:**

**Introduction:**

This document presents an analysis of an acceleration-versus-force graph for three objects, denoted as A, B, and C, which are pulled by rubber bands. The mass of object B is specified as 0.10 kg. This graph provides insights into the relationship between force and acceleration for different objects.

**Graph Explanation:**

The graph illustrates acceleration (vertical axis) against force (horizontal axis, measured in the number of rubber bands). The lines labeled A, B, and C represent the performance of each object.

- **Object A:** The graph shows that object A has the steepest slope, indicating higher acceleration for a given force compared to objects B and C.
- **Object B:** Object B has a moderate slope and serves as the reference with a known mass of 0.10 kg.
- **Object C:** The slope for object C is the least steep, indicating lower acceleration for the same applied force.

**Questions:**

**Part A:**
- What is the mass of object A?
- Express your answer with the appropriate units.

*Response Field Format:*
\[ m_A = \text{Value} \quad \text{Units} \]

**Part B:**
- What is the mass of object C?
- Express your answer with the appropriate units.

*Response Field Format:*
\[ m_C = \text{Value} \quad \text{Units} \]

*Important Note:* The slope of each line in the graph is indicative of the inverse of the mass according to Newton's second law of motion, \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration.

**Conclusion:**

By analyzing the slopes of different lines on the graph, learners can determine the relative masses of objects A and C compared to the known mass of object B. This exercise helps reinforce the principles of force, mass, and acceleration relationships.
Transcribed Image Text:**Educational Content on Acceleration and Force:** **Introduction:** This document presents an analysis of an acceleration-versus-force graph for three objects, denoted as A, B, and C, which are pulled by rubber bands. The mass of object B is specified as 0.10 kg. This graph provides insights into the relationship between force and acceleration for different objects. **Graph Explanation:** The graph illustrates acceleration (vertical axis) against force (horizontal axis, measured in the number of rubber bands). The lines labeled A, B, and C represent the performance of each object. - **Object A:** The graph shows that object A has the steepest slope, indicating higher acceleration for a given force compared to objects B and C. - **Object B:** Object B has a moderate slope and serves as the reference with a known mass of 0.10 kg. - **Object C:** The slope for object C is the least steep, indicating lower acceleration for the same applied force. **Questions:** **Part A:** - What is the mass of object A? - Express your answer with the appropriate units. *Response Field Format:* \[ m_A = \text{Value} \quad \text{Units} \] **Part B:** - What is the mass of object C? - Express your answer with the appropriate units. *Response Field Format:* \[ m_C = \text{Value} \quad \text{Units} \] *Important Note:* The slope of each line in the graph is indicative of the inverse of the mass according to Newton's second law of motion, \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration. **Conclusion:** By analyzing the slopes of different lines on the graph, learners can determine the relative masses of objects A and C compared to the known mass of object B. This exercise helps reinforce the principles of force, mass, and acceleration relationships.
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