(1) Two bullets are fired, one 0.020 kg from a 5kg riffle, the other 0.015 kg, revolver. Which one has a bigger recoil and how much?o 28sm orl.n0A to sandal 1.004
(1) Two bullets are fired, one 0.020 kg from a 5kg riffle, the other 0.015 kg, revolver. Which one has a bigger recoil and how much?o 28sm orl.n0A to sandal 1.004
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)...
Related questions
Question
![**Physics Recoil Calculation**
**Problem Statement:**
Two bullets are fired: one 0.020 kg from a 5 kg rifle, the other 0.015 kg from a 2 kg revolver. Which one has a bigger recoil and by how much?
**For the Rifle:**
Equation:
(0.020 kg × v₁) + (5 kg × V₁) = 0
\[ \text{Recoil}_1 = -5 \times 0.004 \, V_{b1} \]
\[ = -0.02 \, V_{b1} \]
**For the Revolver:**
Equation:
(0.015 kg × v₂) + (2 kg × V₂) = 0
\[ V₂ = \frac{-2}{0.015} \times V₂ \]
Here,
\[ V_R = -0.0075 \, V_{b2} \]
Calculation:
\[ V₁ = -250 \times V₁ \]
\[ V₂ = -133.33 \times V₂ \]
**Conclusion:**
The rifle bullet should have a bigger recoil.
**Additional Calculation:**
Ratio of velocities:
\[ \frac{V₁}{V₂} = \frac{5}{0.020} \times \frac{0.015}{2} \]
**Explanation:**
1. Conservation of momentum is applied for both rifle and revolver.
2. Equations relate mass and velocity to determine the recoil.
3. The negative signs indicate direction opposite to the bullet's motion.
4. A comparison is made to conclude which has a bigger recoil based on the calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25f7872c-ab16-475e-aaa5-d36f49bf1e01%2F3c7deaa4-3c50-4f69-97f7-9c31db664d39%2Fulrlfda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics Recoil Calculation**
**Problem Statement:**
Two bullets are fired: one 0.020 kg from a 5 kg rifle, the other 0.015 kg from a 2 kg revolver. Which one has a bigger recoil and by how much?
**For the Rifle:**
Equation:
(0.020 kg × v₁) + (5 kg × V₁) = 0
\[ \text{Recoil}_1 = -5 \times 0.004 \, V_{b1} \]
\[ = -0.02 \, V_{b1} \]
**For the Revolver:**
Equation:
(0.015 kg × v₂) + (2 kg × V₂) = 0
\[ V₂ = \frac{-2}{0.015} \times V₂ \]
Here,
\[ V_R = -0.0075 \, V_{b2} \]
Calculation:
\[ V₁ = -250 \times V₁ \]
\[ V₂ = -133.33 \times V₂ \]
**Conclusion:**
The rifle bullet should have a bigger recoil.
**Additional Calculation:**
Ratio of velocities:
\[ \frac{V₁}{V₂} = \frac{5}{0.020} \times \frac{0.015}{2} \]
**Explanation:**
1. Conservation of momentum is applied for both rifle and revolver.
2. Equations relate mass and velocity to determine the recoil.
3. The negative signs indicate direction opposite to the bullet's motion.
4. A comparison is made to conclude which has a bigger recoil based on the calculations.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
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
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON