College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Title: Physics Problem: Motion and Collision**

**Problem Statement:**

An iron block with mass \( m_3 \) slides down a frictionless hill of height \( H \). At the base of the hill, it collides with and sticks to a magnet with mass \( m_4 \).

---

### Part A

**Question:**

What is the speed \( v \) of the block and magnet immediately after the collision?

**Answer Options:**

- \( v = \left( \frac{m_3 + m_4}{m_3} \right) \sqrt{2gH} \)
- \( v = \frac{m_4}{m_3} \sqrt{2gH} \)
- \( v = \frac{m_3}{m_4} \sqrt{2gH} \)
- \( v = \left( \frac{m_3 - m_4}{m_3} \right) 2gH \)
- \( v = \left( \frac{m_3}{m_4} \right) 2gH \)

[Submit]

---

### Part B

**Question:**

Now assume that the two masses continue to move at the speed \( v \) from Part A until they encounter a rough surface. The coefficient of friction between the masses and the surface is \( \mu \). If the blocks come to rest after a distance \( s \), which of the following equations would you use to find \( s \)?

**Answer Options:**

- \( \left( \frac{m_3}{m_4} \right) v^2 = \mu m_3gs \)
- \( \left( \frac{m_3}{m_4} \right) gH = \mu m_4gs \)
- \( \left( \frac{m_3 + m_4}{m_4} \right) gH = \mu m_3gs \)
- \( \left( \frac{m_3 - m_4}{m_3} \right) gH = \mu (m_3 + m_4) gs \)
- \( \left( \frac{m_3}{m_4} \right) gH = \mu (m_3 + m_4) gs \)

[Submit]

**Constants:**  
Relevant constants
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Transcribed Image Text:**Title: Physics Problem: Motion and Collision** **Problem Statement:** An iron block with mass \( m_3 \) slides down a frictionless hill of height \( H \). At the base of the hill, it collides with and sticks to a magnet with mass \( m_4 \). --- ### Part A **Question:** What is the speed \( v \) of the block and magnet immediately after the collision? **Answer Options:** - \( v = \left( \frac{m_3 + m_4}{m_3} \right) \sqrt{2gH} \) - \( v = \frac{m_4}{m_3} \sqrt{2gH} \) - \( v = \frac{m_3}{m_4} \sqrt{2gH} \) - \( v = \left( \frac{m_3 - m_4}{m_3} \right) 2gH \) - \( v = \left( \frac{m_3}{m_4} \right) 2gH \) [Submit] --- ### Part B **Question:** Now assume that the two masses continue to move at the speed \( v \) from Part A until they encounter a rough surface. The coefficient of friction between the masses and the surface is \( \mu \). If the blocks come to rest after a distance \( s \), which of the following equations would you use to find \( s \)? **Answer Options:** - \( \left( \frac{m_3}{m_4} \right) v^2 = \mu m_3gs \) - \( \left( \frac{m_3}{m_4} \right) gH = \mu m_4gs \) - \( \left( \frac{m_3 + m_4}{m_4} \right) gH = \mu m_3gs \) - \( \left( \frac{m_3 - m_4}{m_3} \right) gH = \mu (m_3 + m_4) gs \) - \( \left( \frac{m_3}{m_4} \right) gH = \mu (m_3 + m_4) gs \) [Submit] **Constants:** Relevant constants
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