mB = 6 kg Nhand,A 75 N %3D VA = 8 m/s ma =3 kg Block Block Block Block B Hk = 0.4 -2 m Ax Note: Diagram is not drawn to scale A hand pushes block A (m = 3 kg) with a constant force Nand A= 75 N for a distance Ax = 2 m along a (mostly) frictionless table such that it speeds up from rest and is traveling at a speed of 8 m/s after it slides over a rough section of the table (u = 0.4). Block A then collides with a more massive block B (mg = 6 kg) that is initially at rest. Right after the collision, Block B is found to be moving to the right with velocity 5 m/s. Find the velocity (magnitude and direction) of Block A right after the collision. A) +2 m/s B) +3 m/s C) -3 m/s D) -2 m/s E) +5 m/s

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**Title: Collision and Momentum Experiment**

**Diagram Explanation:**

The diagram shows two blocks involved in a physics experiment. 

- **Block A**: 
  - Mass (\( m_A \)) = 3 kg
  - Initially pushed by a hand with a force of 75 N over a distance (\( \Delta x \)) of 2 m.
  - Moves at a velocity (\( v_A \)) = 8 m/s over a rough surface with a coefficient of kinetic friction (\( \mu_k \)) = 0.4.
  
- **Block B**: 
  - Mass (\( m_B \)) = 6 kg
  - Initially at rest.
  - After the collision, moves to the right with a velocity of 5 m/s.

**Text Explanation:**

A hand pushes block A (mass = 3 kg) with a constant force \( N_{\text{hand}, A} = 75 \) N for a distance \( \Delta x = 2 \) m along a mostly frictionless table. Block A speeds up from rest and travels at a speed of 8 m/s after sliding over a rough section of the table (\( \mu_k = 0.4 \)). Block A then collides with block B (mass = 6 kg), initially at rest.

After the collision, block B moves to the right with a velocity of 5 m/s. The problem asks to find the velocity (magnitude and direction) of block A immediately after the collision.

**Options:**

A) +2 m/s  
B) +3 m/s  
C) -3 m/s  
D) -2 m/s  
E) +5 m/s

**Answer Choices:**

- O A
- O B
- O C
- O D
- O E

This exercise requires understanding of concepts like force, friction, and conservation of momentum in a collision.
Transcribed Image Text:**Title: Collision and Momentum Experiment** **Diagram Explanation:** The diagram shows two blocks involved in a physics experiment. - **Block A**: - Mass (\( m_A \)) = 3 kg - Initially pushed by a hand with a force of 75 N over a distance (\( \Delta x \)) of 2 m. - Moves at a velocity (\( v_A \)) = 8 m/s over a rough surface with a coefficient of kinetic friction (\( \mu_k \)) = 0.4. - **Block B**: - Mass (\( m_B \)) = 6 kg - Initially at rest. - After the collision, moves to the right with a velocity of 5 m/s. **Text Explanation:** A hand pushes block A (mass = 3 kg) with a constant force \( N_{\text{hand}, A} = 75 \) N for a distance \( \Delta x = 2 \) m along a mostly frictionless table. Block A speeds up from rest and travels at a speed of 8 m/s after sliding over a rough section of the table (\( \mu_k = 0.4 \)). Block A then collides with block B (mass = 6 kg), initially at rest. After the collision, block B moves to the right with a velocity of 5 m/s. The problem asks to find the velocity (magnitude and direction) of block A immediately after the collision. **Options:** A) +2 m/s B) +3 m/s C) -3 m/s D) -2 m/s E) +5 m/s **Answer Choices:** - O A - O B - O C - O D - O E This exercise requires understanding of concepts like force, friction, and conservation of momentum in a collision.
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