1. Three blocks are connected with massless strings as shown below and pulled by a force to the right on a frictionless surface. m₁ m₂ 2 m3 F What is the total mass accelerated by F? Hint: It could be useful to define systems when determining the effect of forces. Internal forces do not affect the motion of the system, only external forces do.

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### Problem 1: Mass and Force Interaction on a Frictionless Surface

Three blocks are connected with massless strings as shown in the diagram below and are pulled by a force \(\vec{F}\) to the right on a frictionless surface.

**Diagram Explanation:**
- The diagram illustrates three masses \(m_1\), \(m_2\), and \(m_3\) arranged sequentially and connected by massless strings.
- Arrow \(\vec{F}\) indicates the direction of the force applied to the system, towards the right.

**Question:**
What is the total mass accelerated by \(\vec{F}\)?

**Hint:** It could be useful to define systems when determining the effect of forces. Internal forces do not affect the motion of the system; only external forces do.

**Choices:**
- o \(m_1\)
- o \(m_2\)
- o \(m_3\)
- o \(m_1 + m_2\)
- o \(m_1 + m_2 + m_3\) (marked with an "X" indicating this is incorrect)

In this setup, consider the system as a whole to determine the total mass being accelerated by the external force.
Transcribed Image Text:### Problem 1: Mass and Force Interaction on a Frictionless Surface Three blocks are connected with massless strings as shown in the diagram below and are pulled by a force \(\vec{F}\) to the right on a frictionless surface. **Diagram Explanation:** - The diagram illustrates three masses \(m_1\), \(m_2\), and \(m_3\) arranged sequentially and connected by massless strings. - Arrow \(\vec{F}\) indicates the direction of the force applied to the system, towards the right. **Question:** What is the total mass accelerated by \(\vec{F}\)? **Hint:** It could be useful to define systems when determining the effect of forces. Internal forces do not affect the motion of the system; only external forces do. **Choices:** - o \(m_1\) - o \(m_2\) - o \(m_3\) - o \(m_1 + m_2\) - o \(m_1 + m_2 + m_3\) (marked with an "X" indicating this is incorrect) In this setup, consider the system as a whole to determine the total mass being accelerated by the external force.
**Problem 1: Analysis of Forces on Connected Blocks**

**Description:**

Three blocks are connected by massless strings on a frictionless surface. They are labeled as \( m_1 \), \( m_2 \), and \( m_3 \) from left to right. A force \( \vec{F} \) is applied to the right on the third block (\( m_3 \)).

**Diagram Explanation:**

- The blocks are aligned horizontally.
- There is a string labeled "1" connecting \( m_1 \) and \( m_2 \).
- Another string labeled "2" connects \( m_2 \) and \( m_3 \).
- An arrow labeled \( \vec{F} \) points to the right, indicating the direction of the applied force on \( m_3 \).

**Question:**

What is the total mass accelerated by tension in string 2?

**Hint:** It could be useful to define systems when determining the effect of forces. Internal forces do not affect the motion of the system, only external forces do.

**Options:**

- \( \circ \) \( m_1 \)
- \( \bullet \) \( m_2 \)
- \( \circ \) \( m_3 \)
- \( \circ \) \( m_1 + m_2 \)
- \( \otimes \) \( m_1 + m_2 + m_3 \)

The option \( \otimes \) contains an incorrect selection mark (X) indicating that this choice is incorrect.
Transcribed Image Text:**Problem 1: Analysis of Forces on Connected Blocks** **Description:** Three blocks are connected by massless strings on a frictionless surface. They are labeled as \( m_1 \), \( m_2 \), and \( m_3 \) from left to right. A force \( \vec{F} \) is applied to the right on the third block (\( m_3 \)). **Diagram Explanation:** - The blocks are aligned horizontally. - There is a string labeled "1" connecting \( m_1 \) and \( m_2 \). - Another string labeled "2" connects \( m_2 \) and \( m_3 \). - An arrow labeled \( \vec{F} \) points to the right, indicating the direction of the applied force on \( m_3 \). **Question:** What is the total mass accelerated by tension in string 2? **Hint:** It could be useful to define systems when determining the effect of forces. Internal forces do not affect the motion of the system, only external forces do. **Options:** - \( \circ \) \( m_1 \) - \( \bullet \) \( m_2 \) - \( \circ \) \( m_3 \) - \( \circ \) \( m_1 + m_2 \) - \( \otimes \) \( m_1 + m_2 + m_3 \) The option \( \otimes \) contains an incorrect selection mark (X) indicating that this choice is incorrect.
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