### Problem DescriptionA bullet of mass $ m_b $ is fired horizontally with speed $ v_i $ at a wooden block of mass $ m_w $ resting on a frictionless table. The bullet hits the block and becomes completely embedded within it. After the bullet has come to rest relative to the block, the block, with the bullet in it, is traveling at speed $ v_f $. (Figure 1)### Figure Explanation- The figure is divided into two sections: - **Before Collision**: Shows a bullet (mass $ m_b $) traveling with initial velocity $ v_i $ towards a stationary wooden block (mass $ m_w $). - **After Collision**: Shows the block with the bullet embedded in it, both moving together with final velocity $ v_f $.### Questions#### Part AWhich of the following best describes this collision?- Options: 1. Perfectly elastic 2. Partially inelastic 3. Perfectly inelastic#### Part BWhich of the following quantities, if any, are conserved during this collision?- Options: 1. Kinetic energy only 2. Momentum only 3. Kinetic energy and momentum 4. Neither momentum nor kinetic energyPlease consult the available hints if needed before making your selection. ### Educational Content on Conservation of Momentum#### Scenario DescriptionA bullet of mass $m_b$ is fired horizontally with speed $v_i$ at a wooden block of mass $m_w$ resting on a frictionless table. The bullet hits the block and becomes completely embedded within it. After the bullet has come to rest relative to the block, the combined block and bullet system is traveling at speed $v_f$. #### Diagram Analysis**Figure 1:**- **Before Collision:** - The bullet is shown moving towards the block with an initial speed $v_i$. - The block is stationary at this point, with a mass $m_w$.- **After Collision:** - The bullet is shown embedded in the block. - The block and bullet move together with a final speed $v_f$.#### Conceptual Questions1. **Which of the following quantities, if any, are conserved during this collision?** - Options provided: - Kinetic energy only - Momentum only - Kinetic energy and momentum - Neither momentum nor kinetic energy2. **Part C: What is the speed of the block/bullet system after the collision?** - Express your answer in terms of $v_i$, $m_w$, and $m_b$.#### Solution Strategy- Use the principle of conservation of momentum to solve for the final velocity $v_f$ of the block/bullet system after the collision.\[m_b \cdot v_i = (m_b + m_w) \cdot v_f\] Solve for $v_f$:\[v_f = \frac{m_b \cdot v_i}{m_b + m_w}\]

Answered: Image /qna-images/answer/e2ef12c8-2848-4554-a3f2-88146184e3d1.jpg

A bullet of mass mb is fired horizontally with speed vi at a wooden block of mass mw resting on a frictionless table. The bullet hits the block and becomes completely embedded within it. After the bullet has come to rest relative to the block, the block, with the bullet in it, is traveling at speed vf. (Figure 1) Figure Before collision $10€ mw 1 of 1 After collision > ▼ ▼ Part A Which of the following best describes this collision? View Available Hint(s) Operfectly elastic O partially inelastic Operfectly inelastic Submit Part B Which of the following quantities, if any, are conserved during this collision? ►View Available Hint(s) O O momentum only O kinetic energy and momentum Oneither momentum nor kinetic energy kinetic energy only

A bullet of mass mb is fired horizontally with speed vi at a wooden block of mass mw resting on a frictionless table. The bullet hits the block and becomes completely embedded within it. After the bullet has come to rest relative to the block, the block, with the bullet in it, is traveling at speed vf. (Figure 1) Figure Before collision $10€ mw 1 of 1 After collision > ▼ ▼ Part A Which of the following best describes this collision? View Available Hint(s) Operfectly elastic O partially inelastic Operfectly inelastic Submit Part B Which of the following quantities, if any, are conserved during this collision? ►View Available Hint(s) O O momentum only O kinetic energy and momentum Oneither momentum nor kinetic energy kinetic energy only

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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