A particle of mass 2m and another particle of mass m travel toward each other with the same speeds v0. The collision is elastic but not central. After the collision the 1st particle moves upwards perpendicular to its initial direction. Find the speeds of each particle after the collision.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 53CP
icon
Related questions
Question

A particle of mass 2m and another particle of mass m travel toward each other with the same speeds v0. The collision is elastic but not central. After the collision the 1st particle moves upwards perpendicular to its initial direction. Find the speeds of each particle after the collision.

Expert Solution
Step 1

Draw the schematic arrangement of the particles as shown below:

Initial condition:

Physics homework question answer, step 1, image 1

Step 2

Final condition:

Physics homework question answer, step 2, image 1

Step 3

From the conservation of momentum, the expression for the momentum along the x-direction is:

Physics homework question answer, step 3, image 1

Step 4

From the conservation of momentum, the expression for the momentum along the y-direction is:

Physics homework question answer, step 4, image 1

steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Collisions
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Modern Physics
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning