Problem 10: A block of mass mj 19.5 kg slides along a horizontal surface (with friction, ug %3D = 0.31) a distance d= 2.25 m before striking a second block of mass m2= 8.75 kg. The first block has an initial velocity of v = 7.75 m/s.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 Description:*

A diagram is shown with two blocks on a horizontal surface. Block \( m_1 \) is on the left end of the surface, moving towards block \( m_2 \) on the right. The direction of movement is indicated by an arrow pointing to the right, labeled with velocity \( v \). The blocks are separated by distance \( d \) on the surface.

**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 field]

There is a calculator provided with trigonometric and hyperbolic function keys, including numbers and operations.

**Part (b):** How far does block two travel, \( d_2 \) in meters, before coming to rest after the collision?

---

*Note for Students:* 
- Consider the principles of conservation of momentum and energy to solve these problems.
- Friction will affect the motion, so ensure to factor this into your calculations.
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 Description:* A diagram is shown with two blocks on a horizontal surface. Block \( m_1 \) is on the left end of the surface, moving towards block \( m_2 \) on the right. The direction of movement is indicated by an arrow pointing to the right, labeled with velocity \( v \). The blocks are separated by distance \( d \) on the surface. **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 field] There is a calculator provided with trigonometric and hyperbolic function keys, including numbers and operations. **Part (b):** How far does block two travel, \( d_2 \) in meters, before coming to rest after the collision? --- *Note for Students:* - Consider the principles of conservation of momentum and energy to solve these problems. - Friction will affect the motion, so ensure to factor this into your calculations.
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