(7%) Problem 10: A block of mass m = 19.5 kg slides along a horizontal surface (with friction, ur = 0.31) a distance d= 2.25 m before striking a second block of mass m,= 8.75 kg. The first block has an initial velocity of v= 7.75 m/s.
(7%) Problem 10: A block of mass m = 19.5 kg slides along a horizontal surface (with friction, ur = 0.31) a distance d= 2.25 m before striking a second block of mass m,= 8.75 kg. The first block has an initial velocity of v= 7.75 m/s.
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![**Problem 10:**
A block of mass \( m_1 = 19.5 \, \text{kg} \) slides along a horizontal surface (with friction, \( \mu_k = 0.31 \)) a distance \( d = 2.25 \, \text{m} \) before striking a second block of mass \( m_2 = 8.75 \, \text{kg} \). The first block has an initial velocity of \( v = 7.75 \, \text{m/s} \).
**Diagram Explanation:**
The diagram displays two blocks, \( m_1 \) and \( m_2 \), on a horizontal surface. Block \( m_1 \) is moving towards block \( m_2 \) with an initial velocity indicated by a red arrow pointing to the right. The distance \( d \) between the starting position of block \( m_1 \) and block \( m_2 \) is marked.
**Questions:**
**Part (a):** Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s?
- \( v_2 = \) [Input Box]
**Tools:**
- Trigonometric function buttons: (sin, cos, tan, etc.)
- Numerical keypad
- Options to choose between Degrees or Radians
**Hints:**
- 3% deduction per hint. Five hints remaining.
**Part (b):** How far does block two travel, \( d_2 \), in meters, before coming to rest after the collision?
**Feedback:**
- 2% deduction per feedback.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5857ff3-dda9-4e5f-af99-91fda21c86c5%2F2cef7994-ac07-4a8a-99d3-d2ff6f3ea6d9%2F6rw1whm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 10:**
A block of mass \( m_1 = 19.5 \, \text{kg} \) slides along a horizontal surface (with friction, \( \mu_k = 0.31 \)) a distance \( d = 2.25 \, \text{m} \) before striking a second block of mass \( m_2 = 8.75 \, \text{kg} \). The first block has an initial velocity of \( v = 7.75 \, \text{m/s} \).
**Diagram Explanation:**
The diagram displays two blocks, \( m_1 \) and \( m_2 \), on a horizontal surface. Block \( m_1 \) is moving towards block \( m_2 \) with an initial velocity indicated by a red arrow pointing to the right. The distance \( d \) between the starting position of block \( m_1 \) and block \( m_2 \) is marked.
**Questions:**
**Part (a):** Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s?
- \( v_2 = \) [Input Box]
**Tools:**
- Trigonometric function buttons: (sin, cos, tan, etc.)
- Numerical keypad
- Options to choose between Degrees or Radians
**Hints:**
- 3% deduction per hint. Five hints remaining.
**Part (b):** How far does block two travel, \( d_2 \), in meters, before coming to rest after the collision?
**Feedback:**
- 2% deduction per feedback.
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