If a 1305 kg train car on a one dimensional track, moving at 4 m/s north, hits and bounces off a second train car with a mass of 3172 kg , moving at 10 m/s south, find the magnitude of the final speed of the first car (the second car will have a different speed, most probably in the opposite direction).

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)...
icon
Related questions
Question

help 

If a 1305 kg train car on a one-dimensional track, moving at 4 m/s north, hits and bounces off a second train car with a mass of 3172 kg, moving at 10 m/s south, find the magnitude of the final speed of the first car (the second car will have a different speed, most probably in the opposite direction).

**Hint:** One-dimensional problem, call north positive. Use the "hit and bounce" or elastic formula that goes with car #1

\[
v'_1 = \frac{m_1 - m_2}{m_1 + m_2} v_1 + \frac{2m_2}{m_1 + m_2} v_2
\]

\[
v'_2 = \frac{2m_1}{m_1 + m_2} v_1 - \frac{m_1 - m_2}{m_1 + m_2} v_2
\]

Also, a positive answer would indicate motion to the north and a negative answer would show southward motion - leave positive/negative in your answer.
Transcribed Image Text:If a 1305 kg train car on a one-dimensional track, moving at 4 m/s north, hits and bounces off a second train car with a mass of 3172 kg, moving at 10 m/s south, find the magnitude of the final speed of the first car (the second car will have a different speed, most probably in the opposite direction). **Hint:** One-dimensional problem, call north positive. Use the "hit and bounce" or elastic formula that goes with car #1 \[ v'_1 = \frac{m_1 - m_2}{m_1 + m_2} v_1 + \frac{2m_2}{m_1 + m_2} v_2 \] \[ v'_2 = \frac{2m_1}{m_1 + m_2} v_1 - \frac{m_1 - m_2}{m_1 + m_2} v_2 \] Also, a positive answer would indicate motion to the north and a negative answer would show southward motion - leave positive/negative in your answer.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
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