Homework Help is Here – Start Your Trial Now!
Science
Physics
2. In this problem we are going to analyze the ballistic pendulum. The process is as follows: a bullet of mass mu (m in the diagram) is fired with speed v at a wooden block of mass mB (M in the diagram) hanging from the ceiling. The block swings upward and reaches a maximum height of h. By measuring h, we can find the initial speed of the bullet v. The problem is made tricky by the fact that neither momentum nor energy is conserved for the entire process. However, one is conserved for one part of the process and the other is conserved for another part. m (c) M (a) Let's say that at time t = to, the bullet has not yet hit the block. At time t = t₁, the bullet is lodged in the block and the bullet/block system is now moving with a new velocity v', but has not yet changed height appreciably. Is momentum conserved between to and t₁? Is energy? Explain why or why not. M+m (b) Use the correct conservation law to find the speed of the bullet/block system at time t₁. Your final answer should be in terms of v, m,, and mp. (e) Let's say that at time t = t₂ the bullet/block system has reached its maximum height h. Is momentum conserved between t₁ and t₂? Is energy? Explain why or why not. (d) Use the correct conservation law to find the final height of the bullet/block system and solve this for the initial velocity v. Your final answer should be in terms of h, mb, and mp. How much mechanical energy was lost in the entire process? Where did this energy go?

2. In this problem we are going to analyze the ballistic pendulum. The process is as follows: a bullet of mass mu (m in the diagram) is fired with speed v at a wooden block of mass mB (M in the diagram) hanging from the ceiling. The block swings upward and reaches a maximum height of h. By measuring h, we can find the initial speed of the bullet v. The problem is made tricky by the fact that neither momentum nor energy is conserved for the entire process. However, one is conserved for one part of the process and the other is conserved for another part. m (c) M (a) Let's say that at time t = to, the bullet has not yet hit the block. At time t = t₁, the bullet is lodged in the block and the bullet/block system is now moving with a new velocity v', but has not yet changed height appreciably. Is momentum conserved between to and t₁? Is energy? Explain why or why not. M+m (b) Use the correct conservation law to find the speed of the bullet/block system at time t₁. Your final answer should be in terms of v, m,, and mp. (e) Let's say that at time t = t₂ the bullet/block system has reached its maximum height h. Is momentum conserved between t₁ and t₂? Is energy? Explain why or why not. (d) Use the correct conservation law to find the final height of the bullet/block system and solve this for the initial velocity v. Your final answer should be in terms of h, mb, and mp. How much mechanical energy was lost in the entire process? Where did this energy go?

College Physics
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)...
See similar textbooks
icon
Related questions
Question

Please help! I will thumbs up. 

### Analysis of the Ballistic Pendulum In this problem, we will analyze a ballistic pendulum. The process is as follows: a bullet of mass \( m_b \) (denoted as \( m \) in the diagram) is fired with speed \( v \) at a wooden block of mass \( m_B \) (denoted as \( M \) in the diagram) hanging from the ceiling. The block swings upward and reaches a maximum height \( h \). By measuring \( h \), we can find the initial speed of the bullet \( v \). The challenge arises from the fact that neither momentum nor energy is conserved for the entire process. However, one of these is conserved for one part of the process, and the other is conserved for another part. #### Diagram Explanation The diagram consists of the following: - A bullet of mass \( m \) moving with speed \( v \) towards the block. - A block of mass \( M \) suspended from the ceiling. - After the collision, the bullet and block move together as a combined mass \( M+m \). - The block swings to a maximum height \( h \). #### Problem Steps **(a)** At time \( t = t_0 \), the bullet has not yet hit the block. At time \( t = t_1 \), the bullet is lodged in the block, and the bullet/block system is now moving with a new velocity \( v' \), but has not yet changed height appreciably. Is momentum conserved between \( t_0 \) and \( t_1 \)? Is energy? Explain why or why not. **(b)** Use the correct conservation law to find the speed of the bullet/block system at time \( t_1 \). Your final answer should be in terms of \( v \), \( m_b \), and \( m_B \). **(c)** At time \( t = t_2 \), the bullet/block system has reached its maximum height \( h \). Is momentum conserved between \( t_1 \) and \( t_2 \)? Is energy? Explain why or why not. **(d)** Use the correct conservation law to find the final height of the bullet/block system and solve this for the initial velocity \( v \). Your final answer should be in terms of \( h \), \( m_b \), and \( m_B \). **(e)** How much mechanical energy was lost in the entire process
Transcribed Image Text:### Analysis of the Ballistic Pendulum In this problem, we will analyze a ballistic pendulum. The process is as follows: a bullet of mass \( m_b \) (denoted as \( m \) in the diagram) is fired with speed \( v \) at a wooden block of mass \( m_B \) (denoted as \( M \) in the diagram) hanging from the ceiling. The block swings upward and reaches a maximum height \( h \). By measuring \( h \), we can find the initial speed of the bullet \( v \). The challenge arises from the fact that neither momentum nor energy is conserved for the entire process. However, one of these is conserved for one part of the process, and the other is conserved for another part. #### Diagram Explanation The diagram consists of the following: - A bullet of mass \( m \) moving with speed \( v \) towards the block. - A block of mass \( M \) suspended from the ceiling. - After the collision, the bullet and block move together as a combined mass \( M+m \). - The block swings to a maximum height \( h \). #### Problem Steps **(a)** At time \( t = t_0 \), the bullet has not yet hit the block. At time \( t = t_1 \), the bullet is lodged in the block, and the bullet/block system is now moving with a new velocity \( v' \), but has not yet changed height appreciably. Is momentum conserved between \( t_0 \) and \( t_1 \)? Is energy? Explain why or why not. **(b)** Use the correct conservation law to find the speed of the bullet/block system at time \( t_1 \). Your final answer should be in terms of \( v \), \( m_b \), and \( m_B \). **(c)** At time \( t = t_2 \), the bullet/block system has reached its maximum height \( h \). Is momentum conserved between \( t_1 \) and \( t_2 \)? Is energy? Explain why or why not. **(d)** Use the correct conservation law to find the final height of the bullet/block system and solve this for the initial velocity \( v \). Your final answer should be in terms of \( h \), \( m_b \), and \( m_B \). **(e)** How much mechanical energy was lost in the entire process
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Relativistic Energy and momentum
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS