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(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.
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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